diff --git a/.buildinfo b/.buildinfo
index a99207aa2..6bef91854 100644
--- a/.buildinfo
+++ b/.buildinfo
@@ -1,4 +1,4 @@
 # Sphinx build info version 1
 # This file hashes the configuration used when building these files. When it is not found, a full rebuild will be done.
-config: e8c0b001dc69568cdaa1c500361afd76
+config: 541c0169c37fa1cd66455b8427fa01fe
 tags: 645f666f9bcd5a90fca523b33c5a78b7
diff --git a/.doctrees/circuit_cutting/cutqc/tutorials/tutorial_1_automatic_cut_finding.doctree b/.doctrees/circuit_cutting/cutqc/tutorials/tutorial_1_automatic_cut_finding.doctree
index b807b8c54..6f9257854 100644
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diff --git a/.doctrees/circuit_cutting/cutqc/tutorials/tutorial_2_manual_cutting.doctree b/.doctrees/circuit_cutting/cutqc/tutorials/tutorial_2_manual_cutting.doctree
index ab6a77431..11c7b44d0 100644
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diff --git a/.doctrees/circuit_cutting/how-tos/how_to_specify_cut_wires.doctree b/.doctrees/circuit_cutting/how-tos/how_to_specify_cut_wires.doctree
index 452377bbf..b11a7efe9 100644
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diff --git a/.doctrees/circuit_cutting/tutorials/01_gate_cutting_to_reduce_circuit_width.doctree b/.doctrees/circuit_cutting/tutorials/01_gate_cutting_to_reduce_circuit_width.doctree
index c4ca0ae0a..a55a3c681 100644
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diff --git a/.doctrees/circuit_cutting/tutorials/02_gate_cutting_to_reduce_circuit_depth.doctree b/.doctrees/circuit_cutting/tutorials/02_gate_cutting_to_reduce_circuit_depth.doctree
index 1850b8dea..3a9376b4b 100644
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diff --git a/.doctrees/circuit_cutting/tutorials/03_wire_cutting_via_move_instruction.doctree b/.doctrees/circuit_cutting/tutorials/03_wire_cutting_via_move_instruction.doctree
index 971b729bd..1122802a2 100644
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diff --git a/.doctrees/environment.pickle b/.doctrees/environment.pickle
index 6b6ead273..70d827e24 100644
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diff --git a/.doctrees/nbsphinx/circuit_cutting/cutqc/tutorials/tutorial_1_automatic_cut_finding.ipynb b/.doctrees/nbsphinx/circuit_cutting/cutqc/tutorials/tutorial_1_automatic_cut_finding.ipynb
index 2f92ad7cf..d94fe8c76 100644
--- a/.doctrees/nbsphinx/circuit_cutting/cutqc/tutorials/tutorial_1_automatic_cut_finding.ipynb
+++ b/.doctrees/nbsphinx/circuit_cutting/cutqc/tutorials/tutorial_1_automatic_cut_finding.ipynb
@@ -36,10 +36,10 @@
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@@ -95,10 +95,10 @@
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@@ -315,10 +315,10 @@
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@@ -326,7 +326,7 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "/tmp/ipykernel_2761/4196057829.py:3: DeprecationWarning: The function ``circuit_knitting.cutting.cutqc.wire_cutting.evaluate_subcircuits()`` is deprecated as of circuit-knitting-toolbox 0.7.0. It will be removed no sooner than CKT v0.8.0. Use the wire cutting or automated cut-finding functionality in the ``circuit_knitting.cutting`` package. \n",
+      "/tmp/ipykernel_2809/4196057829.py:3: DeprecationWarning: The function ``circuit_knitting.cutting.cutqc.wire_cutting.evaluate_subcircuits()`` is deprecated as of circuit-knitting-toolbox 0.7.0. It will be removed no sooner than CKT v0.8.0. Use the wire cutting or automated cut-finding functionality in the ``circuit_knitting.cutting`` package. \n",
       "  subcircuit_instance_probabilities = evaluate_subcircuits(cuts)\n"
      ]
     }
@@ -360,10 +360,10 @@
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@@ -396,10 +396,10 @@
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@@ -435,10 +435,10 @@
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@@ -478,10 +478,10 @@
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@@ -511,10 +511,10 @@
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@@ -548,10 +548,10 @@
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@@ -559,7 +559,7 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "/tmp/ipykernel_2761/3419935587.py:3: DeprecationWarning: The function ``circuit_knitting.cutting.cutqc.wire_cutting_verification.verify()`` is deprecated as of circuit-knitting-toolbox 0.7.0. It will be removed no sooner than CKT v0.8.0. Use the wire cutting or automated cut-finding functionality in the ``circuit_knitting.cutting`` package. \n",
+      "/tmp/ipykernel_2809/3419935587.py:3: DeprecationWarning: The function ``circuit_knitting.cutting.cutqc.wire_cutting_verification.verify()`` is deprecated as of circuit-knitting-toolbox 0.7.0. It will be removed no sooner than CKT v0.8.0. Use the wire cutting or automated cut-finding functionality in the ``circuit_knitting.cutting`` package. \n",
       "  metrics, exact_probabilities = verify(circuit, reconstructed_probabilities)\n"
      ]
     }
@@ -586,10 +586,10 @@
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@@ -633,10 +633,10 @@
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diff --git a/.doctrees/nbsphinx/circuit_cutting/cutqc/tutorials/tutorial_2_manual_cutting.ipynb b/.doctrees/nbsphinx/circuit_cutting/cutqc/tutorials/tutorial_2_manual_cutting.ipynb
index 471b4b5cd..70e9e5bd5 100644
--- a/.doctrees/nbsphinx/circuit_cutting/cutqc/tutorials/tutorial_2_manual_cutting.ipynb
+++ b/.doctrees/nbsphinx/circuit_cutting/cutqc/tutorials/tutorial_2_manual_cutting.ipynb
@@ -36,10 +36,10 @@
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@@ -107,10 +107,10 @@
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@@ -138,10 +138,10 @@
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@@ -168,10 +168,10 @@
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@@ -217,10 +217,10 @@
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-     "iopub.status.idle": "2024-05-29T16:52:49.125864Z",
-     "shell.execute_reply": "2024-05-29T16:52:49.125057Z"
+     "iopub.execute_input": "2024-06-03T13:32:31.182068Z",
+     "iopub.status.busy": "2024-06-03T13:32:31.180676Z",
+     "iopub.status.idle": "2024-06-03T13:32:31.186584Z",
+     "shell.execute_reply": "2024-06-03T13:32:31.185860Z"
     }
    },
    "outputs": [],
@@ -255,10 +255,10 @@
    "id": "aafc01ef",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:49.128802Z",
-     "iopub.status.busy": "2024-05-29T16:52:49.128584Z",
-     "iopub.status.idle": "2024-05-29T16:52:49.138411Z",
-     "shell.execute_reply": "2024-05-29T16:52:49.137806Z"
+     "iopub.execute_input": "2024-06-03T13:32:31.190664Z",
+     "iopub.status.busy": "2024-06-03T13:32:31.190358Z",
+     "iopub.status.idle": "2024-06-03T13:32:31.196800Z",
+     "shell.execute_reply": "2024-06-03T13:32:31.196022Z"
     }
    },
    "outputs": [],
@@ -286,10 +286,10 @@
    "id": "2ae5160c",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:49.142705Z",
-     "iopub.status.busy": "2024-05-29T16:52:49.141628Z",
-     "iopub.status.idle": "2024-05-29T16:52:49.180457Z",
-     "shell.execute_reply": "2024-05-29T16:52:49.178981Z"
+     "iopub.execute_input": "2024-06-03T13:32:31.202371Z",
+     "iopub.status.busy": "2024-06-03T13:32:31.201039Z",
+     "iopub.status.idle": "2024-06-03T13:32:31.249874Z",
+     "shell.execute_reply": "2024-06-03T13:32:31.249100Z"
     }
    },
    "outputs": [
@@ -297,7 +297,7 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "/tmp/ipykernel_3039/4196057829.py:3: DeprecationWarning: The function ``circuit_knitting.cutting.cutqc.wire_cutting.evaluate_subcircuits()`` is deprecated as of circuit-knitting-toolbox 0.7.0. It will be removed no sooner than CKT v0.8.0. Use the wire cutting or automated cut-finding functionality in the ``circuit_knitting.cutting`` package. \n",
+      "/tmp/ipykernel_3086/4196057829.py:3: DeprecationWarning: The function ``circuit_knitting.cutting.cutqc.wire_cutting.evaluate_subcircuits()`` is deprecated as of circuit-knitting-toolbox 0.7.0. It will be removed no sooner than CKT v0.8.0. Use the wire cutting or automated cut-finding functionality in the ``circuit_knitting.cutting`` package. \n",
       "  subcircuit_instance_probabilities = evaluate_subcircuits(cuts)\n"
      ]
     }
@@ -339,10 +339,10 @@
    "id": "5aceecc0",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:49.183712Z",
-     "iopub.status.busy": "2024-05-29T16:52:49.183472Z",
-     "iopub.status.idle": "2024-05-29T16:52:50.473416Z",
-     "shell.execute_reply": "2024-05-29T16:52:50.472467Z"
+     "iopub.execute_input": "2024-06-03T13:32:31.252947Z",
+     "iopub.status.busy": "2024-06-03T13:32:31.252427Z",
+     "iopub.status.idle": "2024-06-03T13:32:32.566720Z",
+     "shell.execute_reply": "2024-06-03T13:32:32.565871Z"
     }
    },
    "outputs": [],
@@ -374,10 +374,10 @@
    "id": "5353b0c8",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:50.476913Z",
-     "iopub.status.busy": "2024-05-29T16:52:50.476430Z",
-     "iopub.status.idle": "2024-05-29T16:52:50.484620Z",
-     "shell.execute_reply": "2024-05-29T16:52:50.483874Z"
+     "iopub.execute_input": "2024-06-03T13:32:32.570345Z",
+     "iopub.status.busy": "2024-06-03T13:32:32.570096Z",
+     "iopub.status.idle": "2024-06-03T13:32:32.578779Z",
+     "shell.execute_reply": "2024-06-03T13:32:32.578084Z"
     }
    },
    "outputs": [
@@ -385,7 +385,7 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "/tmp/ipykernel_3039/3419935587.py:3: DeprecationWarning: The function ``circuit_knitting.cutting.cutqc.wire_cutting_verification.verify()`` is deprecated as of circuit-knitting-toolbox 0.7.0. It will be removed no sooner than CKT v0.8.0. Use the wire cutting or automated cut-finding functionality in the ``circuit_knitting.cutting`` package. \n",
+      "/tmp/ipykernel_3086/3419935587.py:3: DeprecationWarning: The function ``circuit_knitting.cutting.cutqc.wire_cutting_verification.verify()`` is deprecated as of circuit-knitting-toolbox 0.7.0. It will be removed no sooner than CKT v0.8.0. Use the wire cutting or automated cut-finding functionality in the ``circuit_knitting.cutting`` package. \n",
       "  metrics, exact_probabilities = verify(circuit, reconstructed_probabilities)\n"
      ]
     }
@@ -412,10 +412,10 @@
    "id": "8d54b767",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:50.487845Z",
-     "iopub.status.busy": "2024-05-29T16:52:50.487254Z",
-     "iopub.status.idle": "2024-05-29T16:52:50.495208Z",
-     "shell.execute_reply": "2024-05-29T16:52:50.494585Z"
+     "iopub.execute_input": "2024-06-03T13:32:32.582054Z",
+     "iopub.status.busy": "2024-06-03T13:32:32.581490Z",
+     "iopub.status.idle": "2024-06-03T13:32:32.587697Z",
+     "shell.execute_reply": "2024-06-03T13:32:32.586987Z"
     }
    },
    "outputs": [
@@ -459,10 +459,10 @@
    "id": "c8cc97e9",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:50.498391Z",
-     "iopub.status.busy": "2024-05-29T16:52:50.498152Z",
-     "iopub.status.idle": "2024-05-29T16:52:50.849024Z",
-     "shell.execute_reply": "2024-05-29T16:52:50.848096Z"
+     "iopub.execute_input": "2024-06-03T13:32:32.590682Z",
+     "iopub.status.busy": "2024-06-03T13:32:32.590181Z",
+     "iopub.status.idle": "2024-06-03T13:32:32.938396Z",
+     "shell.execute_reply": "2024-06-03T13:32:32.937510Z"
     }
    },
    "outputs": [
diff --git a/.doctrees/nbsphinx/circuit_cutting/how-tos/how_to_generate_exact_quasi_dists_from_sampler.ipynb b/.doctrees/nbsphinx/circuit_cutting/how-tos/how_to_generate_exact_quasi_dists_from_sampler.ipynb
index bc466950f..7087644d4 100644
--- a/.doctrees/nbsphinx/circuit_cutting/how-tos/how_to_generate_exact_quasi_dists_from_sampler.ipynb
+++ b/.doctrees/nbsphinx/circuit_cutting/how-tos/how_to_generate_exact_quasi_dists_from_sampler.ipynb
@@ -16,10 +16,10 @@
    "id": "072055cb",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:55.865012Z",
-     "iopub.status.busy": "2024-05-29T16:52:55.864736Z",
-     "iopub.status.idle": "2024-05-29T16:52:56.272749Z",
-     "shell.execute_reply": "2024-05-29T16:52:56.271965Z"
+     "iopub.execute_input": "2024-06-03T13:32:37.925665Z",
+     "iopub.status.busy": "2024-06-03T13:32:37.925125Z",
+     "iopub.status.idle": "2024-06-03T13:32:38.393684Z",
+     "shell.execute_reply": "2024-06-03T13:32:38.392910Z"
     }
    },
    "outputs": [],
@@ -47,10 +47,10 @@
    "id": "dc4af922",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:56.276142Z",
-     "iopub.status.busy": "2024-05-29T16:52:56.275631Z",
-     "iopub.status.idle": "2024-05-29T16:52:56.285815Z",
-     "shell.execute_reply": "2024-05-29T16:52:56.285083Z"
+     "iopub.execute_input": "2024-06-03T13:32:38.397638Z",
+     "iopub.status.busy": "2024-06-03T13:32:38.397211Z",
+     "iopub.status.idle": "2024-06-03T13:32:38.421000Z",
+     "shell.execute_reply": "2024-06-03T13:32:38.420061Z"
     }
    },
    "outputs": [],
@@ -80,10 +80,10 @@
    "id": "d095701f",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:56.288669Z",
-     "iopub.status.busy": "2024-05-29T16:52:56.288267Z",
-     "iopub.status.idle": "2024-05-29T16:52:56.296510Z",
-     "shell.execute_reply": "2024-05-29T16:52:56.295831Z"
+     "iopub.execute_input": "2024-06-03T13:32:38.424777Z",
+     "iopub.status.busy": "2024-06-03T13:32:38.424408Z",
+     "iopub.status.idle": "2024-06-03T13:32:38.435223Z",
+     "shell.execute_reply": "2024-06-03T13:32:38.434532Z"
     }
    },
    "outputs": [],
@@ -109,10 +109,10 @@
    "id": "7a74f709",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:56.299496Z",
-     "iopub.status.busy": "2024-05-29T16:52:56.298929Z",
-     "iopub.status.idle": "2024-05-29T16:52:56.303353Z",
-     "shell.execute_reply": "2024-05-29T16:52:56.302669Z"
+     "iopub.execute_input": "2024-06-03T13:32:38.438669Z",
+     "iopub.status.busy": "2024-06-03T13:32:38.438374Z",
+     "iopub.status.idle": "2024-06-03T13:32:38.442586Z",
+     "shell.execute_reply": "2024-06-03T13:32:38.441863Z"
     }
    },
    "outputs": [],
@@ -136,10 +136,10 @@
    "id": "7019d781",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:56.306292Z",
-     "iopub.status.busy": "2024-05-29T16:52:56.306092Z",
-     "iopub.status.idle": "2024-05-29T16:52:56.318799Z",
-     "shell.execute_reply": "2024-05-29T16:52:56.318105Z"
+     "iopub.execute_input": "2024-06-03T13:32:38.445635Z",
+     "iopub.status.busy": "2024-06-03T13:32:38.445124Z",
+     "iopub.status.idle": "2024-06-03T13:32:38.460588Z",
+     "shell.execute_reply": "2024-06-03T13:32:38.460000Z"
     }
    },
    "outputs": [],
diff --git a/.doctrees/nbsphinx/circuit_cutting/how-tos/how_to_generate_exact_sampling_coefficients.ipynb b/.doctrees/nbsphinx/circuit_cutting/how-tos/how_to_generate_exact_sampling_coefficients.ipynb
index 4a536b2eb..c47e76ccc 100644
--- a/.doctrees/nbsphinx/circuit_cutting/how-tos/how_to_generate_exact_sampling_coefficients.ipynb
+++ b/.doctrees/nbsphinx/circuit_cutting/how-tos/how_to_generate_exact_sampling_coefficients.ipynb
@@ -18,10 +18,10 @@
    "id": "dc54656b",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:57.944382Z",
-     "iopub.status.busy": "2024-05-29T16:52:57.944086Z",
-     "iopub.status.idle": "2024-05-29T16:52:58.414280Z",
-     "shell.execute_reply": "2024-05-29T16:52:58.413453Z"
+     "iopub.execute_input": "2024-06-03T13:32:40.443960Z",
+     "iopub.status.busy": "2024-06-03T13:32:40.443722Z",
+     "iopub.status.idle": "2024-06-03T13:32:40.974667Z",
+     "shell.execute_reply": "2024-06-03T13:32:40.973843Z"
     }
    },
    "outputs": [],
@@ -42,10 +42,10 @@
    "id": "dd147239",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:58.418109Z",
-     "iopub.status.busy": "2024-05-29T16:52:58.417841Z",
-     "iopub.status.idle": "2024-05-29T16:52:59.140322Z",
-     "shell.execute_reply": "2024-05-29T16:52:59.139526Z"
+     "iopub.execute_input": "2024-06-03T13:32:40.978102Z",
+     "iopub.status.busy": "2024-06-03T13:32:40.977801Z",
+     "iopub.status.idle": "2024-06-03T13:32:41.661377Z",
+     "shell.execute_reply": "2024-06-03T13:32:41.660647Z"
     }
    },
    "outputs": [
@@ -82,10 +82,10 @@
    "id": "d4ccf5b8",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:59.144535Z",
-     "iopub.status.busy": "2024-05-29T16:52:59.144006Z",
-     "iopub.status.idle": "2024-05-29T16:52:59.336749Z",
-     "shell.execute_reply": "2024-05-29T16:52:59.335871Z"
+     "iopub.execute_input": "2024-06-03T13:32:41.664572Z",
+     "iopub.status.busy": "2024-06-03T13:32:41.664041Z",
+     "iopub.status.idle": "2024-06-03T13:32:41.842438Z",
+     "shell.execute_reply": "2024-06-03T13:32:41.841705Z"
     }
    },
    "outputs": [
@@ -117,10 +117,10 @@
    "id": "44956cbb",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:59.340015Z",
-     "iopub.status.busy": "2024-05-29T16:52:59.339379Z",
-     "iopub.status.idle": "2024-05-29T16:52:59.603472Z",
-     "shell.execute_reply": "2024-05-29T16:52:59.602602Z"
+     "iopub.execute_input": "2024-06-03T13:32:41.845622Z",
+     "iopub.status.busy": "2024-06-03T13:32:41.845374Z",
+     "iopub.status.idle": "2024-06-03T13:32:42.075617Z",
+     "shell.execute_reply": "2024-06-03T13:32:42.074825Z"
     }
    },
    "outputs": [
@@ -156,10 +156,10 @@
    "id": "8c56282f",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:59.607039Z",
-     "iopub.status.busy": "2024-05-29T16:52:59.606733Z",
-     "iopub.status.idle": "2024-05-29T16:52:59.654841Z",
-     "shell.execute_reply": "2024-05-29T16:52:59.654104Z"
+     "iopub.execute_input": "2024-06-03T13:32:42.078907Z",
+     "iopub.status.busy": "2024-06-03T13:32:42.078419Z",
+     "iopub.status.idle": "2024-06-03T13:32:42.125547Z",
+     "shell.execute_reply": "2024-06-03T13:32:42.124809Z"
     }
    },
    "outputs": [
@@ -236,10 +236,10 @@
    "id": "78539fcc",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:59.657757Z",
-     "iopub.status.busy": "2024-05-29T16:52:59.657517Z",
-     "iopub.status.idle": "2024-05-29T16:52:59.662161Z",
-     "shell.execute_reply": "2024-05-29T16:52:59.661438Z"
+     "iopub.execute_input": "2024-06-03T13:32:42.129132Z",
+     "iopub.status.busy": "2024-06-03T13:32:42.128592Z",
+     "iopub.status.idle": "2024-06-03T13:32:42.132702Z",
+     "shell.execute_reply": "2024-06-03T13:32:42.132017Z"
     }
    },
    "outputs": [
@@ -269,10 +269,10 @@
    "id": "f07a6cc3",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:59.665391Z",
-     "iopub.status.busy": "2024-05-29T16:52:59.664747Z",
-     "iopub.status.idle": "2024-05-29T16:52:59.672235Z",
-     "shell.execute_reply": "2024-05-29T16:52:59.671495Z"
+     "iopub.execute_input": "2024-06-03T13:32:42.135580Z",
+     "iopub.status.busy": "2024-06-03T13:32:42.135165Z",
+     "iopub.status.idle": "2024-06-03T13:32:42.140774Z",
+     "shell.execute_reply": "2024-06-03T13:32:42.139932Z"
     }
    },
    "outputs": [
@@ -319,10 +319,10 @@
    "id": "43d32869",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:59.675434Z",
-     "iopub.status.busy": "2024-05-29T16:52:59.674804Z",
-     "iopub.status.idle": "2024-05-29T16:52:59.727809Z",
-     "shell.execute_reply": "2024-05-29T16:52:59.727099Z"
+     "iopub.execute_input": "2024-06-03T13:32:42.143628Z",
+     "iopub.status.busy": "2024-06-03T13:32:42.143175Z",
+     "iopub.status.idle": "2024-06-03T13:32:42.191787Z",
+     "shell.execute_reply": "2024-06-03T13:32:42.190968Z"
     }
    },
    "outputs": [
diff --git a/.doctrees/nbsphinx/circuit_cutting/how-tos/how_to_specify_cut_wires.ipynb b/.doctrees/nbsphinx/circuit_cutting/how-tos/how_to_specify_cut_wires.ipynb
index 6b06377a5..3e548a0d9 100644
--- a/.doctrees/nbsphinx/circuit_cutting/how-tos/how_to_specify_cut_wires.ipynb
+++ b/.doctrees/nbsphinx/circuit_cutting/how-tos/how_to_specify_cut_wires.ipynb
@@ -16,10 +16,10 @@
    "id": "1aa871cb",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:01.780647Z",
-     "iopub.status.busy": "2024-05-29T16:53:01.780326Z",
-     "iopub.status.idle": "2024-05-29T16:53:02.180388Z",
-     "shell.execute_reply": "2024-05-29T16:53:02.179748Z"
+     "iopub.execute_input": "2024-06-03T13:32:44.295572Z",
+     "iopub.status.busy": "2024-06-03T13:32:44.295292Z",
+     "iopub.status.idle": "2024-06-03T13:32:44.679319Z",
+     "shell.execute_reply": "2024-06-03T13:32:44.678692Z"
     }
    },
    "outputs": [],
@@ -55,10 +55,10 @@
    "id": "0ae22516",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:02.183695Z",
-     "iopub.status.busy": "2024-05-29T16:53:02.183199Z",
-     "iopub.status.idle": "2024-05-29T16:53:02.843691Z",
-     "shell.execute_reply": "2024-05-29T16:53:02.842941Z"
+     "iopub.execute_input": "2024-06-03T13:32:44.682294Z",
+     "iopub.status.busy": "2024-06-03T13:32:44.682038Z",
+     "iopub.status.idle": "2024-06-03T13:32:45.336107Z",
+     "shell.execute_reply": "2024-06-03T13:32:45.335540Z"
     }
    },
    "outputs": [
@@ -108,10 +108,10 @@
    "id": "631286a6",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:02.846621Z",
-     "iopub.status.busy": "2024-05-29T16:53:02.846134Z",
-     "iopub.status.idle": "2024-05-29T16:53:03.114578Z",
-     "shell.execute_reply": "2024-05-29T16:53:03.113869Z"
+     "iopub.execute_input": "2024-06-03T13:32:45.338797Z",
+     "iopub.status.busy": "2024-06-03T13:32:45.338352Z",
+     "iopub.status.idle": "2024-06-03T13:32:45.628434Z",
+     "shell.execute_reply": "2024-06-03T13:32:45.627680Z"
     }
    },
    "outputs": [
@@ -147,10 +147,10 @@
    "id": "847a3205",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:03.117609Z",
-     "iopub.status.busy": "2024-05-29T16:53:03.117151Z",
-     "iopub.status.idle": "2024-05-29T16:53:03.120699Z",
-     "shell.execute_reply": "2024-05-29T16:53:03.120086Z"
+     "iopub.execute_input": "2024-06-03T13:32:45.631146Z",
+     "iopub.status.busy": "2024-06-03T13:32:45.630886Z",
+     "iopub.status.idle": "2024-06-03T13:32:45.634661Z",
+     "shell.execute_reply": "2024-06-03T13:32:45.634104Z"
     }
    },
    "outputs": [],
@@ -176,10 +176,10 @@
    "id": "e4ee1559",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:03.123311Z",
-     "iopub.status.busy": "2024-05-29T16:53:03.122913Z",
-     "iopub.status.idle": "2024-05-29T16:53:03.393184Z",
-     "shell.execute_reply": "2024-05-29T16:53:03.392456Z"
+     "iopub.execute_input": "2024-06-03T13:32:45.636992Z",
+     "iopub.status.busy": "2024-06-03T13:32:45.636787Z",
+     "iopub.status.idle": "2024-06-03T13:32:45.912251Z",
+     "shell.execute_reply": "2024-06-03T13:32:45.911489Z"
     }
    },
    "outputs": [
@@ -218,10 +218,10 @@
    "id": "95fbeda0",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:03.396407Z",
-     "iopub.status.busy": "2024-05-29T16:53:03.395841Z",
-     "iopub.status.idle": "2024-05-29T16:53:03.401155Z",
-     "shell.execute_reply": "2024-05-29T16:53:03.400507Z"
+     "iopub.execute_input": "2024-06-03T13:32:45.914843Z",
+     "iopub.status.busy": "2024-06-03T13:32:45.914617Z",
+     "iopub.status.idle": "2024-06-03T13:32:45.919690Z",
+     "shell.execute_reply": "2024-06-03T13:32:45.919135Z"
     }
    },
    "outputs": [
@@ -257,10 +257,10 @@
    "id": "99bef123",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:03.403875Z",
-     "iopub.status.busy": "2024-05-29T16:53:03.403471Z",
-     "iopub.status.idle": "2024-05-29T16:53:03.409766Z",
-     "shell.execute_reply": "2024-05-29T16:53:03.409153Z"
+     "iopub.execute_input": "2024-06-03T13:32:45.921994Z",
+     "iopub.status.busy": "2024-06-03T13:32:45.921790Z",
+     "iopub.status.idle": "2024-06-03T13:32:45.928060Z",
+     "shell.execute_reply": "2024-06-03T13:32:45.927402Z"
     }
    },
    "outputs": [],
@@ -296,10 +296,10 @@
    "id": "abeee650",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:03.412389Z",
-     "iopub.status.busy": "2024-05-29T16:53:03.411990Z",
-     "iopub.status.idle": "2024-05-29T16:53:03.416642Z",
-     "shell.execute_reply": "2024-05-29T16:53:03.416048Z"
+     "iopub.execute_input": "2024-06-03T13:32:45.930804Z",
+     "iopub.status.busy": "2024-06-03T13:32:45.930186Z",
+     "iopub.status.idle": "2024-06-03T13:32:45.934653Z",
+     "shell.execute_reply": "2024-06-03T13:32:45.934145Z"
     }
    },
    "outputs": [
@@ -325,10 +325,10 @@
    "id": "aaef5b3d",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:03.419033Z",
-     "iopub.status.busy": "2024-05-29T16:53:03.418826Z",
-     "iopub.status.idle": "2024-05-29T16:53:03.651779Z",
-     "shell.execute_reply": "2024-05-29T16:53:03.651087Z"
+     "iopub.execute_input": "2024-06-03T13:32:45.937101Z",
+     "iopub.status.busy": "2024-06-03T13:32:45.936716Z",
+     "iopub.status.idle": "2024-06-03T13:32:46.166482Z",
+     "shell.execute_reply": "2024-06-03T13:32:46.165797Z"
     }
    },
    "outputs": [
@@ -354,10 +354,10 @@
    "id": "975a3ca9",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:03.654621Z",
-     "iopub.status.busy": "2024-05-29T16:53:03.654241Z",
-     "iopub.status.idle": "2024-05-29T16:53:03.820066Z",
-     "shell.execute_reply": "2024-05-29T16:53:03.819320Z"
+     "iopub.execute_input": "2024-06-03T13:32:46.169071Z",
+     "iopub.status.busy": "2024-06-03T13:32:46.168840Z",
+     "iopub.status.idle": "2024-06-03T13:32:46.335249Z",
+     "shell.execute_reply": "2024-06-03T13:32:46.334514Z"
     }
    },
    "outputs": [
@@ -391,10 +391,10 @@
    "id": "459dcee8",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:03.823238Z",
-     "iopub.status.busy": "2024-05-29T16:53:03.822583Z",
-     "iopub.status.idle": "2024-05-29T16:53:03.885926Z",
-     "shell.execute_reply": "2024-05-29T16:53:03.885148Z"
+     "iopub.execute_input": "2024-06-03T13:32:46.337972Z",
+     "iopub.status.busy": "2024-06-03T13:32:46.337737Z",
+     "iopub.status.idle": "2024-06-03T13:32:46.401558Z",
+     "shell.execute_reply": "2024-06-03T13:32:46.400880Z"
     }
    },
    "outputs": [],
@@ -412,10 +412,10 @@
    "id": "dc9fe287",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:03.889698Z",
-     "iopub.status.busy": "2024-05-29T16:53:03.889076Z",
-     "iopub.status.idle": "2024-05-29T16:53:04.721966Z",
-     "shell.execute_reply": "2024-05-29T16:53:04.721187Z"
+     "iopub.execute_input": "2024-06-03T13:32:46.404731Z",
+     "iopub.status.busy": "2024-06-03T13:32:46.404273Z",
+     "iopub.status.idle": "2024-06-03T13:32:47.261476Z",
+     "shell.execute_reply": "2024-06-03T13:32:47.260822Z"
     }
    },
    "outputs": [],
@@ -433,10 +433,10 @@
    "id": "e317a998",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:04.725970Z",
-     "iopub.status.busy": "2024-05-29T16:53:04.725429Z",
-     "iopub.status.idle": "2024-05-29T16:53:07.371255Z",
-     "shell.execute_reply": "2024-05-29T16:53:07.370629Z"
+     "iopub.execute_input": "2024-06-03T13:32:47.265506Z",
+     "iopub.status.busy": "2024-06-03T13:32:47.264974Z",
+     "iopub.status.idle": "2024-06-03T13:32:49.841404Z",
+     "shell.execute_reply": "2024-06-03T13:32:49.840635Z"
     }
    },
    "outputs": [],
@@ -455,10 +455,10 @@
    "id": "5ae568ca",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:07.374144Z",
-     "iopub.status.busy": "2024-05-29T16:53:07.373902Z",
-     "iopub.status.idle": "2024-05-29T16:53:07.384267Z",
-     "shell.execute_reply": "2024-05-29T16:53:07.383663Z"
+     "iopub.execute_input": "2024-06-03T13:32:49.844776Z",
+     "iopub.status.busy": "2024-06-03T13:32:49.844304Z",
+     "iopub.status.idle": "2024-06-03T13:32:49.854989Z",
+     "shell.execute_reply": "2024-06-03T13:32:49.854361Z"
     }
    },
    "outputs": [
@@ -466,10 +466,10 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Reconstructed expectation value: 1.54897046\n",
+      "Reconstructed expectation value: 1.57090008\n",
       "Exact expectation value: 1.59099026\n",
-      "Error in estimation: -0.0420198\n",
-      "Relative error in estimation: -0.0264111\n"
+      "Error in estimation: -0.02009018\n",
+      "Relative error in estimation: -0.01262747\n"
      ]
     }
    ],
diff --git a/.doctrees/nbsphinx/circuit_cutting/tutorials/01_gate_cutting_to_reduce_circuit_width.ipynb b/.doctrees/nbsphinx/circuit_cutting/tutorials/01_gate_cutting_to_reduce_circuit_width.ipynb
index f42f5ebd7..b958b66a5 100644
--- a/.doctrees/nbsphinx/circuit_cutting/tutorials/01_gate_cutting_to_reduce_circuit_width.ipynb
+++ b/.doctrees/nbsphinx/circuit_cutting/tutorials/01_gate_cutting_to_reduce_circuit_width.ipynb
@@ -30,10 +30,10 @@
    "id": "96f5b72a",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:09.363210Z",
-     "iopub.status.busy": "2024-05-29T16:53:09.363004Z",
-     "iopub.status.idle": "2024-05-29T16:53:10.365481Z",
-     "shell.execute_reply": "2024-05-29T16:53:10.364671Z"
+     "iopub.execute_input": "2024-06-03T13:32:52.009777Z",
+     "iopub.status.busy": "2024-06-03T13:32:52.009569Z",
+     "iopub.status.idle": "2024-06-03T13:32:53.049372Z",
+     "shell.execute_reply": "2024-06-03T13:32:53.048635Z"
     }
    },
    "outputs": [
@@ -72,10 +72,10 @@
    "id": "f75e8dd1",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:10.368468Z",
-     "iopub.status.busy": "2024-05-29T16:53:10.367990Z",
-     "iopub.status.idle": "2024-05-29T16:53:10.371991Z",
-     "shell.execute_reply": "2024-05-29T16:53:10.371435Z"
+     "iopub.execute_input": "2024-06-03T13:32:53.052256Z",
+     "iopub.status.busy": "2024-06-03T13:32:53.051946Z",
+     "iopub.status.idle": "2024-06-03T13:32:53.056230Z",
+     "shell.execute_reply": "2024-06-03T13:32:53.055629Z"
     }
    },
    "outputs": [],
@@ -103,10 +103,10 @@
    "id": "30326299",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:10.374369Z",
-     "iopub.status.busy": "2024-05-29T16:53:10.374162Z",
-     "iopub.status.idle": "2024-05-29T16:53:10.404340Z",
-     "shell.execute_reply": "2024-05-29T16:53:10.403760Z"
+     "iopub.execute_input": "2024-06-03T13:32:53.058793Z",
+     "iopub.status.busy": "2024-06-03T13:32:53.058361Z",
+     "iopub.status.idle": "2024-06-03T13:32:53.089786Z",
+     "shell.execute_reply": "2024-06-03T13:32:53.089199Z"
     }
    },
    "outputs": [],
@@ -135,10 +135,10 @@
    "id": "6b54be63",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:10.407351Z",
-     "iopub.status.busy": "2024-05-29T16:53:10.407124Z",
-     "iopub.status.idle": "2024-05-29T16:53:10.411943Z",
-     "shell.execute_reply": "2024-05-29T16:53:10.411255Z"
+     "iopub.execute_input": "2024-06-03T13:32:53.092859Z",
+     "iopub.status.busy": "2024-06-03T13:32:53.092399Z",
+     "iopub.status.idle": "2024-06-03T13:32:53.097369Z",
+     "shell.execute_reply": "2024-06-03T13:32:53.096719Z"
     }
    },
    "outputs": [
@@ -164,10 +164,10 @@
    "id": "b7e06fac",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:10.414550Z",
-     "iopub.status.busy": "2024-05-29T16:53:10.414177Z",
-     "iopub.status.idle": "2024-05-29T16:53:10.582240Z",
-     "shell.execute_reply": "2024-05-29T16:53:10.581499Z"
+     "iopub.execute_input": "2024-06-03T13:32:53.100048Z",
+     "iopub.status.busy": "2024-06-03T13:32:53.099521Z",
+     "iopub.status.idle": "2024-06-03T13:32:53.270371Z",
+     "shell.execute_reply": "2024-06-03T13:32:53.269677Z"
     }
    },
    "outputs": [
@@ -193,10 +193,10 @@
    "id": "11e45e83",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:10.584885Z",
-     "iopub.status.busy": "2024-05-29T16:53:10.584641Z",
-     "iopub.status.idle": "2024-05-29T16:53:10.798105Z",
-     "shell.execute_reply": "2024-05-29T16:53:10.797414Z"
+     "iopub.execute_input": "2024-06-03T13:32:53.273264Z",
+     "iopub.status.busy": "2024-06-03T13:32:53.272782Z",
+     "iopub.status.idle": "2024-06-03T13:32:53.475166Z",
+     "shell.execute_reply": "2024-06-03T13:32:53.474344Z"
     }
    },
    "outputs": [
@@ -241,10 +241,10 @@
    "id": "3d606ef8",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:10.800725Z",
-     "iopub.status.busy": "2024-05-29T16:53:10.800494Z",
-     "iopub.status.idle": "2024-05-29T16:53:10.804420Z",
-     "shell.execute_reply": "2024-05-29T16:53:10.803754Z"
+     "iopub.execute_input": "2024-06-03T13:32:53.478113Z",
+     "iopub.status.busy": "2024-06-03T13:32:53.477646Z",
+     "iopub.status.idle": "2024-06-03T13:32:53.481690Z",
+     "shell.execute_reply": "2024-06-03T13:32:53.481009Z"
     }
    },
    "outputs": [
@@ -280,10 +280,10 @@
    "id": "2029d18e-0e91-4160-b8c9-02cb9e1ba3cb",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:10.806955Z",
-     "iopub.status.busy": "2024-05-29T16:53:10.806746Z",
-     "iopub.status.idle": "2024-05-29T16:53:10.884665Z",
-     "shell.execute_reply": "2024-05-29T16:53:10.884003Z"
+     "iopub.execute_input": "2024-06-03T13:32:53.484494Z",
+     "iopub.status.busy": "2024-06-03T13:32:53.484074Z",
+     "iopub.status.idle": "2024-06-03T13:32:53.563441Z",
+     "shell.execute_reply": "2024-06-03T13:32:53.562771Z"
     }
    },
    "outputs": [],
@@ -311,10 +311,10 @@
    "id": "36c89aa0-70aa-4615-8198-77ec85e8aa93",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:10.887786Z",
-     "iopub.status.busy": "2024-05-29T16:53:10.887548Z",
-     "iopub.status.idle": "2024-05-29T16:53:11.424443Z",
-     "shell.execute_reply": "2024-05-29T16:53:11.423706Z"
+     "iopub.execute_input": "2024-06-03T13:32:53.566707Z",
+     "iopub.status.busy": "2024-06-03T13:32:53.566220Z",
+     "iopub.status.idle": "2024-06-03T13:32:54.120467Z",
+     "shell.execute_reply": "2024-06-03T13:32:54.119792Z"
     }
    },
    "outputs": [],
@@ -340,10 +340,10 @@
    "id": "184e0f36-1279-48a3-aab7-b7603bb71f66",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:11.427803Z",
-     "iopub.status.busy": "2024-05-29T16:53:11.427477Z",
-     "iopub.status.idle": "2024-05-29T16:53:13.871436Z",
-     "shell.execute_reply": "2024-05-29T16:53:13.870632Z"
+     "iopub.execute_input": "2024-06-03T13:32:54.123963Z",
+     "iopub.status.busy": "2024-06-03T13:32:54.123370Z",
+     "iopub.status.idle": "2024-06-03T13:32:56.611967Z",
+     "shell.execute_reply": "2024-06-03T13:32:56.611165Z"
     }
    },
    "outputs": [],
@@ -372,10 +372,10 @@
    "id": "2dbb8148-0482-4a66-8316-335125f8a2b3",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:13.874805Z",
-     "iopub.status.busy": "2024-05-29T16:53:13.874369Z",
-     "iopub.status.idle": "2024-05-29T16:53:14.201845Z",
-     "shell.execute_reply": "2024-05-29T16:53:14.186925Z"
+     "iopub.execute_input": "2024-06-03T13:32:56.615644Z",
+     "iopub.status.busy": "2024-06-03T13:32:56.615013Z",
+     "iopub.status.idle": "2024-06-03T13:32:56.939617Z",
+     "shell.execute_reply": "2024-06-03T13:32:56.929317Z"
     }
    },
    "outputs": [
@@ -391,11 +391,10 @@
    "source": [
     "from qiskit_ibm_runtime import SamplerV2, Batch\n",
     "\n",
-    "# Set up the Qiskit Runtime Sampler primitive\n",
-    "sampler = SamplerV2(backend=backend)\n",
-    "\n",
-    "# Submit each partition's subexperiments as a single batch\n",
-    "with Batch(backend=backend):\n",
+    "# Submit each partition's subexperiments to the Qiskit Runtime Sampler\n",
+    "# primitive, in a single batch so that the jobs will run back-to-back.\n",
+    "with Batch(backend=backend) as batch:\n",
+    "    sampler = SamplerV2(session=batch)\n",
     "    jobs = {\n",
     "        label: sampler.run(subsystem_subexpts, shots=2**12)\n",
     "        for label, subsystem_subexpts in isa_subexperiments.items()\n",
@@ -408,10 +407,10 @@
    "id": "64cef60b-5130-467e-8e01-7460d78560ed",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:14.240307Z",
-     "iopub.status.busy": "2024-05-29T16:53:14.228669Z",
-     "iopub.status.idle": "2024-05-29T16:53:23.089250Z",
-     "shell.execute_reply": "2024-05-29T16:53:23.088520Z"
+     "iopub.execute_input": "2024-06-03T13:32:56.988115Z",
+     "iopub.status.busy": "2024-06-03T13:32:56.977218Z",
+     "iopub.status.idle": "2024-06-03T13:33:06.040820Z",
+     "shell.execute_reply": "2024-06-03T13:33:06.040064Z"
     }
    },
    "outputs": [],
@@ -436,10 +435,10 @@
    "id": "7d57339c",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:23.092611Z",
-     "iopub.status.busy": "2024-05-29T16:53:23.092363Z",
-     "iopub.status.idle": "2024-05-29T16:53:26.039058Z",
-     "shell.execute_reply": "2024-05-29T16:53:26.038377Z"
+     "iopub.execute_input": "2024-06-03T13:33:06.044441Z",
+     "iopub.status.busy": "2024-06-03T13:33:06.044193Z",
+     "iopub.status.idle": "2024-06-03T13:33:09.020543Z",
+     "shell.execute_reply": "2024-06-03T13:33:09.019839Z"
     }
    },
    "outputs": [],
@@ -471,10 +470,10 @@
    "id": "e3385ba5",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:26.042042Z",
-     "iopub.status.busy": "2024-05-29T16:53:26.041799Z",
-     "iopub.status.idle": "2024-05-29T16:53:26.054933Z",
-     "shell.execute_reply": "2024-05-29T16:53:26.054265Z"
+     "iopub.execute_input": "2024-06-03T13:33:09.023558Z",
+     "iopub.status.busy": "2024-06-03T13:33:09.023273Z",
+     "iopub.status.idle": "2024-06-03T13:33:09.036308Z",
+     "shell.execute_reply": "2024-06-03T13:33:09.035636Z"
     }
    },
    "outputs": [
@@ -482,10 +481,10 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Reconstructed expectation value: 0.68161559\n",
+      "Reconstructed expectation value: 0.69702762\n",
       "Exact expectation value: 0.56254612\n",
-      "Error in estimation: 0.11906947\n",
-      "Relative error in estimation: 0.2116617\n"
+      "Error in estimation: 0.1344815\n",
+      "Relative error in estimation: 0.23905862\n"
      ]
     }
    ],
diff --git a/.doctrees/nbsphinx/circuit_cutting/tutorials/02_gate_cutting_to_reduce_circuit_depth.ipynb b/.doctrees/nbsphinx/circuit_cutting/tutorials/02_gate_cutting_to_reduce_circuit_depth.ipynb
index cc02faa15..68624ae7b 100644
--- a/.doctrees/nbsphinx/circuit_cutting/tutorials/02_gate_cutting_to_reduce_circuit_depth.ipynb
+++ b/.doctrees/nbsphinx/circuit_cutting/tutorials/02_gate_cutting_to_reduce_circuit_depth.ipynb
@@ -30,10 +30,10 @@
    "id": "54ed0f13",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:28.305992Z",
-     "iopub.status.busy": "2024-05-29T16:53:28.305780Z",
-     "iopub.status.idle": "2024-05-29T16:53:29.382101Z",
-     "shell.execute_reply": "2024-05-29T16:53:29.381342Z"
+     "iopub.execute_input": "2024-06-03T13:33:11.596740Z",
+     "iopub.status.busy": "2024-06-03T13:33:11.596532Z",
+     "iopub.status.idle": "2024-06-03T13:33:12.675822Z",
+     "shell.execute_reply": "2024-06-03T13:33:12.674977Z"
     }
    },
    "outputs": [
@@ -71,10 +71,10 @@
    "id": "105e858d",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:29.385007Z",
-     "iopub.status.busy": "2024-05-29T16:53:29.384696Z",
-     "iopub.status.idle": "2024-05-29T16:53:29.388760Z",
-     "shell.execute_reply": "2024-05-29T16:53:29.388212Z"
+     "iopub.execute_input": "2024-06-03T13:33:12.679123Z",
+     "iopub.status.busy": "2024-06-03T13:33:12.678353Z",
+     "iopub.status.idle": "2024-06-03T13:33:12.683236Z",
+     "shell.execute_reply": "2024-06-03T13:33:12.682467Z"
     }
    },
    "outputs": [],
@@ -100,10 +100,10 @@
    "id": "756f2130-6947-479a-9fe7-97443c87a904",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:29.391525Z",
-     "iopub.status.busy": "2024-05-29T16:53:29.391073Z",
-     "iopub.status.idle": "2024-05-29T16:53:29.916289Z",
-     "shell.execute_reply": "2024-05-29T16:53:29.915687Z"
+     "iopub.execute_input": "2024-06-03T13:33:12.686112Z",
+     "iopub.status.busy": "2024-06-03T13:33:12.685680Z",
+     "iopub.status.idle": "2024-06-03T13:33:13.232914Z",
+     "shell.execute_reply": "2024-06-03T13:33:13.232264Z"
     }
    },
    "outputs": [],
@@ -129,10 +129,10 @@
    "id": "b394da7a",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:29.919494Z",
-     "iopub.status.busy": "2024-05-29T16:53:29.919175Z",
-     "iopub.status.idle": "2024-05-29T16:53:29.953946Z",
-     "shell.execute_reply": "2024-05-29T16:53:29.953273Z"
+     "iopub.execute_input": "2024-06-03T13:33:13.236165Z",
+     "iopub.status.busy": "2024-06-03T13:33:13.235831Z",
+     "iopub.status.idle": "2024-06-03T13:33:13.275847Z",
+     "shell.execute_reply": "2024-06-03T13:33:13.275099Z"
     }
    },
    "outputs": [
@@ -161,10 +161,10 @@
    "id": "4fe4af43",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:29.956530Z",
-     "iopub.status.busy": "2024-05-29T16:53:29.956138Z",
-     "iopub.status.idle": "2024-05-29T16:53:30.684077Z",
-     "shell.execute_reply": "2024-05-29T16:53:30.683355Z"
+     "iopub.execute_input": "2024-06-03T13:33:13.278658Z",
+     "iopub.status.busy": "2024-06-03T13:33:13.278149Z",
+     "iopub.status.idle": "2024-06-03T13:33:14.032352Z",
+     "shell.execute_reply": "2024-06-03T13:33:14.031614Z"
     }
    },
    "outputs": [
@@ -200,10 +200,10 @@
    "id": "12e73c69",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:30.687138Z",
-     "iopub.status.busy": "2024-05-29T16:53:30.686636Z",
-     "iopub.status.idle": "2024-05-29T16:53:31.007055Z",
-     "shell.execute_reply": "2024-05-29T16:53:31.006306Z"
+     "iopub.execute_input": "2024-06-03T13:33:14.035456Z",
+     "iopub.status.busy": "2024-06-03T13:33:14.034892Z",
+     "iopub.status.idle": "2024-06-03T13:33:14.353638Z",
+     "shell.execute_reply": "2024-06-03T13:33:14.352912Z"
     }
    },
    "outputs": [
@@ -255,10 +255,10 @@
    "id": "83b1efed-bafa-48c4-bbf0-cf7eb9027ac5",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:31.010164Z",
-     "iopub.status.busy": "2024-05-29T16:53:31.009675Z",
-     "iopub.status.idle": "2024-05-29T16:53:31.687797Z",
-     "shell.execute_reply": "2024-05-29T16:53:31.687130Z"
+     "iopub.execute_input": "2024-06-03T13:33:14.356590Z",
+     "iopub.status.busy": "2024-06-03T13:33:14.356085Z",
+     "iopub.status.idle": "2024-06-03T13:33:15.041972Z",
+     "shell.execute_reply": "2024-06-03T13:33:15.041215Z"
     }
    },
    "outputs": [],
@@ -290,10 +290,10 @@
    "id": "c7b28e2c",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:31.690906Z",
-     "iopub.status.busy": "2024-05-29T16:53:31.690447Z",
-     "iopub.status.idle": "2024-05-29T16:53:31.694550Z",
-     "shell.execute_reply": "2024-05-29T16:53:31.693892Z"
+     "iopub.execute_input": "2024-06-03T13:33:15.045010Z",
+     "iopub.status.busy": "2024-06-03T13:33:15.044764Z",
+     "iopub.status.idle": "2024-06-03T13:33:15.048610Z",
+     "shell.execute_reply": "2024-06-03T13:33:15.047987Z"
     }
    },
    "outputs": [
@@ -325,10 +325,10 @@
    "id": "70e2f1b6",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:31.697179Z",
-     "iopub.status.busy": "2024-05-29T16:53:31.696762Z",
-     "iopub.status.idle": "2024-05-29T16:53:32.183501Z",
-     "shell.execute_reply": "2024-05-29T16:53:32.182712Z"
+     "iopub.execute_input": "2024-06-03T13:33:15.051264Z",
+     "iopub.status.busy": "2024-06-03T13:33:15.050846Z",
+     "iopub.status.idle": "2024-06-03T13:33:15.548603Z",
+     "shell.execute_reply": "2024-06-03T13:33:15.547883Z"
     }
    },
    "outputs": [
@@ -379,10 +379,10 @@
    "id": "16968c09-13f0-499b-91d0-91b58f1ce6eb",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:32.186541Z",
-     "iopub.status.busy": "2024-05-29T16:53:32.186077Z",
-     "iopub.status.idle": "2024-05-29T16:53:40.995280Z",
-     "shell.execute_reply": "2024-05-29T16:53:40.993903Z"
+     "iopub.execute_input": "2024-06-03T13:33:15.551403Z",
+     "iopub.status.busy": "2024-06-03T13:33:15.550912Z",
+     "iopub.status.idle": "2024-06-03T13:33:24.411020Z",
+     "shell.execute_reply": "2024-06-03T13:33:24.409844Z"
     }
    },
    "outputs": [],
@@ -405,10 +405,10 @@
    "id": "a83922bc-0489-4ee5-a2b6-796103aae9bb",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:40.999996Z",
-     "iopub.status.busy": "2024-05-29T16:53:40.999364Z",
-     "iopub.status.idle": "2024-05-29T16:54:05.877181Z",
-     "shell.execute_reply": "2024-05-29T16:54:05.876480Z"
+     "iopub.execute_input": "2024-06-03T13:33:24.415276Z",
+     "iopub.status.busy": "2024-06-03T13:33:24.414791Z",
+     "iopub.status.idle": "2024-06-03T13:33:47.323189Z",
+     "shell.execute_reply": "2024-06-03T13:33:47.322455Z"
     }
    },
    "outputs": [],
@@ -433,10 +433,10 @@
    "id": "ace12f7f",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:54:05.881367Z",
-     "iopub.status.busy": "2024-05-29T16:54:05.881080Z",
-     "iopub.status.idle": "2024-05-29T16:54:08.202733Z",
-     "shell.execute_reply": "2024-05-29T16:54:08.202106Z"
+     "iopub.execute_input": "2024-06-03T13:33:47.326909Z",
+     "iopub.status.busy": "2024-06-03T13:33:47.326667Z",
+     "iopub.status.idle": "2024-06-03T13:33:49.673828Z",
+     "shell.execute_reply": "2024-06-03T13:33:49.673160Z"
     }
    },
    "outputs": [],
@@ -466,10 +466,10 @@
    "id": "4928e703",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:54:08.205840Z",
-     "iopub.status.busy": "2024-05-29T16:54:08.205584Z",
-     "iopub.status.idle": "2024-05-29T16:54:08.219025Z",
-     "shell.execute_reply": "2024-05-29T16:54:08.218417Z"
+     "iopub.execute_input": "2024-06-03T13:33:49.676877Z",
+     "iopub.status.busy": "2024-06-03T13:33:49.676639Z",
+     "iopub.status.idle": "2024-06-03T13:33:49.689682Z",
+     "shell.execute_reply": "2024-06-03T13:33:49.689090Z"
     }
    },
    "outputs": [
@@ -477,10 +477,10 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Reconstructed expectation value: 0.73120117\n",
+      "Reconstructed expectation value: 0.64086914\n",
       "Exact expectation value: 0.50497603\n",
-      "Error in estimation: 0.22622514\n",
-      "Relative error in estimation: 0.44799184\n"
+      "Error in estimation: 0.13589311\n",
+      "Relative error in estimation: 0.26910804\n"
      ]
     }
    ],
diff --git a/.doctrees/nbsphinx/circuit_cutting/tutorials/03_wire_cutting_via_move_instruction.ipynb b/.doctrees/nbsphinx/circuit_cutting/tutorials/03_wire_cutting_via_move_instruction.ipynb
index 6275a59f4..e547d148e 100644
--- a/.doctrees/nbsphinx/circuit_cutting/tutorials/03_wire_cutting_via_move_instruction.ipynb
+++ b/.doctrees/nbsphinx/circuit_cutting/tutorials/03_wire_cutting_via_move_instruction.ipynb
@@ -32,17 +32,17 @@
    "id": "3bcae0ed-4308-4686-b85c-8595c6e916bc",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:34.850206Z",
-     "iopub.status.busy": "2024-05-29T16:52:34.849923Z",
-     "iopub.status.idle": "2024-05-29T16:52:35.362329Z",
-     "shell.execute_reply": "2024-05-29T16:52:35.361468Z"
+     "iopub.execute_input": "2024-06-03T13:32:16.751254Z",
+     "iopub.status.busy": "2024-06-03T13:32:16.750915Z",
+     "iopub.status.idle": "2024-06-03T13:32:17.202208Z",
+     "shell.execute_reply": "2024-06-03T13:32:17.201378Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7f3210fdab50>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7fe1746c0880>"
       ]
      },
      "execution_count": 1,
@@ -74,10 +74,10 @@
    "id": "1dcaff2d-2d1b-4cc0-87d1-0f4f5de823ff",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:35.365424Z",
-     "iopub.status.busy": "2024-05-29T16:52:35.364822Z",
-     "iopub.status.idle": "2024-05-29T16:52:36.074403Z",
-     "shell.execute_reply": "2024-05-29T16:52:36.073594Z"
+     "iopub.execute_input": "2024-06-03T13:32:17.205405Z",
+     "iopub.status.busy": "2024-06-03T13:32:17.204820Z",
+     "iopub.status.idle": "2024-06-03T13:32:17.929835Z",
+     "shell.execute_reply": "2024-06-03T13:32:17.928937Z"
     }
    },
    "outputs": [
@@ -111,10 +111,10 @@
    "id": "b791aa42-c485-453b-a110-3c790194adaf",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:36.077539Z",
-     "iopub.status.busy": "2024-05-29T16:52:36.076986Z",
-     "iopub.status.idle": "2024-05-29T16:52:36.081006Z",
-     "shell.execute_reply": "2024-05-29T16:52:36.080288Z"
+     "iopub.execute_input": "2024-06-03T13:32:17.932670Z",
+     "iopub.status.busy": "2024-06-03T13:32:17.932395Z",
+     "iopub.status.idle": "2024-06-03T13:32:17.936304Z",
+     "shell.execute_reply": "2024-06-03T13:32:17.935588Z"
     }
    },
    "outputs": [],
@@ -144,10 +144,10 @@
    "id": "22f19d29-a182-4758-b5d0-6b66f9a946be",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:36.083889Z",
-     "iopub.status.busy": "2024-05-29T16:52:36.083656Z",
-     "iopub.status.idle": "2024-05-29T16:52:36.438580Z",
-     "shell.execute_reply": "2024-05-29T16:52:36.437701Z"
+     "iopub.execute_input": "2024-06-03T13:32:17.939329Z",
+     "iopub.status.busy": "2024-06-03T13:32:17.938609Z",
+     "iopub.status.idle": "2024-06-03T13:32:18.288569Z",
+     "shell.execute_reply": "2024-06-03T13:32:18.287730Z"
     }
    },
    "outputs": [
@@ -200,10 +200,10 @@
    "id": "d33d5580-879f-466f-ac87-dcc6a19fbab6",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:36.441543Z",
-     "iopub.status.busy": "2024-05-29T16:52:36.441047Z",
-     "iopub.status.idle": "2024-05-29T16:52:36.444980Z",
-     "shell.execute_reply": "2024-05-29T16:52:36.444281Z"
+     "iopub.execute_input": "2024-06-03T13:32:18.291755Z",
+     "iopub.status.busy": "2024-06-03T13:32:18.291164Z",
+     "iopub.status.idle": "2024-06-03T13:32:18.295424Z",
+     "shell.execute_reply": "2024-06-03T13:32:18.294758Z"
     }
    },
    "outputs": [],
@@ -227,10 +227,10 @@
    "id": "fc3738c7-2bb2-4d67-ae2b-7a3090b31e6a",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:36.448013Z",
-     "iopub.status.busy": "2024-05-29T16:52:36.447413Z",
-     "iopub.status.idle": "2024-05-29T16:52:36.462045Z",
-     "shell.execute_reply": "2024-05-29T16:52:36.461285Z"
+     "iopub.execute_input": "2024-06-03T13:32:18.298031Z",
+     "iopub.status.busy": "2024-06-03T13:32:18.297642Z",
+     "iopub.status.idle": "2024-06-03T13:32:18.307849Z",
+     "shell.execute_reply": "2024-06-03T13:32:18.307176Z"
     }
    },
    "outputs": [],
@@ -259,10 +259,10 @@
    "id": "9c53a862-f762-471a-bda7-b27e88292ac9",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:36.465102Z",
-     "iopub.status.busy": "2024-05-29T16:52:36.464523Z",
-     "iopub.status.idle": "2024-05-29T16:52:36.470397Z",
-     "shell.execute_reply": "2024-05-29T16:52:36.469714Z"
+     "iopub.execute_input": "2024-06-03T13:32:18.310710Z",
+     "iopub.status.busy": "2024-06-03T13:32:18.310147Z",
+     "iopub.status.idle": "2024-06-03T13:32:18.315761Z",
+     "shell.execute_reply": "2024-06-03T13:32:18.315082Z"
     }
    },
    "outputs": [
@@ -288,10 +288,10 @@
    "id": "69df912e-6709-45bb-8eb3-c66a70edefdc",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:36.473215Z",
-     "iopub.status.busy": "2024-05-29T16:52:36.472727Z",
-     "iopub.status.idle": "2024-05-29T16:52:36.746236Z",
-     "shell.execute_reply": "2024-05-29T16:52:36.745363Z"
+     "iopub.execute_input": "2024-06-03T13:32:18.318803Z",
+     "iopub.status.busy": "2024-06-03T13:32:18.318601Z",
+     "iopub.status.idle": "2024-06-03T13:32:18.593155Z",
+     "shell.execute_reply": "2024-06-03T13:32:18.592360Z"
     }
    },
    "outputs": [
@@ -317,10 +317,10 @@
    "id": "d851adcb-e524-48c8-8adc-0d1606613c8d",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:36.749341Z",
-     "iopub.status.busy": "2024-05-29T16:52:36.749020Z",
-     "iopub.status.idle": "2024-05-29T16:52:36.923820Z",
-     "shell.execute_reply": "2024-05-29T16:52:36.922969Z"
+     "iopub.execute_input": "2024-06-03T13:32:18.596845Z",
+     "iopub.status.busy": "2024-06-03T13:32:18.596526Z",
+     "iopub.status.idle": "2024-06-03T13:32:18.810454Z",
+     "shell.execute_reply": "2024-06-03T13:32:18.809769Z"
     }
    },
    "outputs": [
@@ -358,10 +358,10 @@
    "id": "7af74c54-3e68-4d58-a2e6-02bc212d911d",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:36.928776Z",
-     "iopub.status.busy": "2024-05-29T16:52:36.928506Z",
-     "iopub.status.idle": "2024-05-29T16:52:36.933017Z",
-     "shell.execute_reply": "2024-05-29T16:52:36.932282Z"
+     "iopub.execute_input": "2024-06-03T13:32:18.813842Z",
+     "iopub.status.busy": "2024-06-03T13:32:18.813622Z",
+     "iopub.status.idle": "2024-06-03T13:32:18.817386Z",
+     "shell.execute_reply": "2024-06-03T13:32:18.816726Z"
     }
    },
    "outputs": [
@@ -395,10 +395,10 @@
    "id": "d28a8b82-8405-47b2-8142-62d56266409a",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:36.938193Z",
-     "iopub.status.busy": "2024-05-29T16:52:36.937780Z",
-     "iopub.status.idle": "2024-05-29T16:52:37.005512Z",
-     "shell.execute_reply": "2024-05-29T16:52:37.004742Z"
+     "iopub.execute_input": "2024-06-03T13:32:18.821459Z",
+     "iopub.status.busy": "2024-06-03T13:32:18.820965Z",
+     "iopub.status.idle": "2024-06-03T13:32:18.883326Z",
+     "shell.execute_reply": "2024-06-03T13:32:18.882512Z"
     }
    },
    "outputs": [],
@@ -426,10 +426,10 @@
    "id": "6944546f-e3e0-4863-9049-9feed1086e68",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:37.009051Z",
-     "iopub.status.busy": "2024-05-29T16:52:37.008840Z",
-     "iopub.status.idle": "2024-05-29T16:52:37.638074Z",
-     "shell.execute_reply": "2024-05-29T16:52:37.637373Z"
+     "iopub.execute_input": "2024-06-03T13:32:18.886278Z",
+     "iopub.status.busy": "2024-06-03T13:32:18.886052Z",
+     "iopub.status.idle": "2024-06-03T13:32:19.449681Z",
+     "shell.execute_reply": "2024-06-03T13:32:19.448886Z"
     }
    },
    "outputs": [],
@@ -455,10 +455,10 @@
    "id": "0229e6f2-a637-481d-ac76-84dfaadc264f",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:37.650550Z",
-     "iopub.status.busy": "2024-05-29T16:52:37.649964Z",
-     "iopub.status.idle": "2024-05-29T16:52:40.699194Z",
-     "shell.execute_reply": "2024-05-29T16:52:40.698343Z"
+     "iopub.execute_input": "2024-06-03T13:32:19.452994Z",
+     "iopub.status.busy": "2024-06-03T13:32:19.452440Z",
+     "iopub.status.idle": "2024-06-03T13:32:22.301317Z",
+     "shell.execute_reply": "2024-06-03T13:32:22.300526Z"
     }
    },
    "outputs": [],
@@ -487,10 +487,10 @@
    "id": "bdf3bd2f-e10a-4148-a7ad-f354492614cc",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:40.702559Z",
-     "iopub.status.busy": "2024-05-29T16:52:40.702110Z",
-     "iopub.status.idle": "2024-05-29T16:52:41.019293Z",
-     "shell.execute_reply": "2024-05-29T16:52:40.980383Z"
+     "iopub.execute_input": "2024-06-03T13:32:22.305332Z",
+     "iopub.status.busy": "2024-06-03T13:32:22.304798Z",
+     "iopub.status.idle": "2024-06-03T13:32:22.615552Z",
+     "shell.execute_reply": "2024-06-03T13:32:22.605329Z"
     }
    },
    "outputs": [
@@ -506,11 +506,10 @@
    "source": [
     "from qiskit_ibm_runtime import SamplerV2, Batch\n",
     "\n",
-    "# Set up the Qiskit Runtime Sampler primitive\n",
-    "sampler = SamplerV2(backend=backend)\n",
-    "\n",
-    "# Submit each partition's subexperiments as a single batch\n",
-    "with Batch(backend=backend):\n",
+    "# Submit each partition's subexperiments to the Qiskit Runtime Sampler\n",
+    "# primitive, in a single batch so that the jobs will run back-to-back.\n",
+    "with Batch(backend=backend) as batch:\n",
+    "    sampler = SamplerV2(session=batch)\n",
     "    jobs = {\n",
     "        label: sampler.run(subsystem_subexpts, shots=2**12)\n",
     "        for label, subsystem_subexpts in isa_subexperiments.items()\n",
@@ -523,10 +522,10 @@
    "id": "abb436de-9662-4c47-92b1-659ee0334adc",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:41.038856Z",
-     "iopub.status.busy": "2024-05-29T16:52:41.038393Z",
-     "iopub.status.idle": "2024-05-29T16:52:51.466764Z",
-     "shell.execute_reply": "2024-05-29T16:52:51.466091Z"
+     "iopub.execute_input": "2024-06-03T13:32:22.656806Z",
+     "iopub.status.busy": "2024-06-03T13:32:22.655224Z",
+     "iopub.status.idle": "2024-06-03T13:32:32.750545Z",
+     "shell.execute_reply": "2024-06-03T13:32:32.749843Z"
     }
    },
    "outputs": [],
@@ -551,10 +550,10 @@
    "id": "a1904c54-27fa-45e0-a9dd-727b4542db71",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:51.470326Z",
-     "iopub.status.busy": "2024-05-29T16:52:51.469737Z",
-     "iopub.status.idle": "2024-05-29T16:52:54.191599Z",
-     "shell.execute_reply": "2024-05-29T16:52:54.190856Z"
+     "iopub.execute_input": "2024-06-03T13:32:32.753956Z",
+     "iopub.status.busy": "2024-06-03T13:32:32.753730Z",
+     "iopub.status.idle": "2024-06-03T13:32:35.403913Z",
+     "shell.execute_reply": "2024-06-03T13:32:35.403224Z"
     }
    },
    "outputs": [],
@@ -583,10 +582,10 @@
    "id": "6e3d63e4-a510-4712-bc43-48df6e2f7ded",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:54.195056Z",
-     "iopub.status.busy": "2024-05-29T16:52:54.194514Z",
-     "iopub.status.idle": "2024-05-29T16:52:54.209202Z",
-     "shell.execute_reply": "2024-05-29T16:52:54.208465Z"
+     "iopub.execute_input": "2024-06-03T13:32:35.406926Z",
+     "iopub.status.busy": "2024-06-03T13:32:35.406457Z",
+     "iopub.status.idle": "2024-06-03T13:32:35.421143Z",
+     "shell.execute_reply": "2024-06-03T13:32:35.420511Z"
     }
    },
    "outputs": [
@@ -594,10 +593,10 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Reconstructed expectation value: 1.56147528\n",
+      "Reconstructed expectation value: 1.54485381\n",
       "Exact expectation value: 1.59099026\n",
-      "Error in estimation: -0.02951498\n",
-      "Relative error in estimation: -0.01855133\n"
+      "Error in estimation: -0.04613645\n",
+      "Relative error in estimation: -0.02899858\n"
      ]
     }
    ],
diff --git a/.doctrees/nbsphinx/circuit_cutting/tutorials/04_automatic_cut_finding.ipynb b/.doctrees/nbsphinx/circuit_cutting/tutorials/04_automatic_cut_finding.ipynb
index dbe5124b7..8e1a9f6e4 100644
--- a/.doctrees/nbsphinx/circuit_cutting/tutorials/04_automatic_cut_finding.ipynb
+++ b/.doctrees/nbsphinx/circuit_cutting/tutorials/04_automatic_cut_finding.ipynb
@@ -19,10 +19,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:57.281925Z",
-     "iopub.status.busy": "2024-05-29T16:52:57.281513Z",
-     "iopub.status.idle": "2024-05-29T16:52:58.504099Z",
-     "shell.execute_reply": "2024-05-29T16:52:58.503221Z"
+     "iopub.execute_input": "2024-06-03T13:32:38.299864Z",
+     "iopub.status.busy": "2024-06-03T13:32:38.299160Z",
+     "iopub.status.idle": "2024-06-03T13:32:39.535564Z",
+     "shell.execute_reply": "2024-06-03T13:32:39.534688Z"
     }
    },
    "outputs": [
@@ -62,10 +62,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:58.507746Z",
-     "iopub.status.busy": "2024-05-29T16:52:58.507439Z",
-     "iopub.status.idle": "2024-05-29T16:52:58.968507Z",
-     "shell.execute_reply": "2024-05-29T16:52:58.967729Z"
+     "iopub.execute_input": "2024-06-03T13:32:39.538829Z",
+     "iopub.status.busy": "2024-06-03T13:32:39.538211Z",
+     "iopub.status.idle": "2024-06-03T13:32:40.001930Z",
+     "shell.execute_reply": "2024-06-03T13:32:40.000956Z"
     }
    },
    "outputs": [
@@ -125,10 +125,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:58.972270Z",
-     "iopub.status.busy": "2024-05-29T16:52:58.971927Z",
-     "iopub.status.idle": "2024-05-29T16:52:59.358923Z",
-     "shell.execute_reply": "2024-05-29T16:52:59.358040Z"
+     "iopub.execute_input": "2024-06-03T13:32:40.005657Z",
+     "iopub.status.busy": "2024-06-03T13:32:40.005424Z",
+     "iopub.status.idle": "2024-06-03T13:32:40.344208Z",
+     "shell.execute_reply": "2024-06-03T13:32:40.343471Z"
     }
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    "outputs": [
@@ -164,10 +164,10 @@
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-     "iopub.execute_input": "2024-05-29T16:52:59.362295Z",
-     "iopub.status.busy": "2024-05-29T16:52:59.361722Z",
-     "iopub.status.idle": "2024-05-29T16:52:59.375500Z",
-     "shell.execute_reply": "2024-05-29T16:52:59.374736Z"
+     "iopub.execute_input": "2024-06-03T13:32:40.347137Z",
+     "iopub.status.busy": "2024-06-03T13:32:40.346687Z",
+     "iopub.status.idle": "2024-06-03T13:32:40.358001Z",
+     "shell.execute_reply": "2024-06-03T13:32:40.357389Z"
     }
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    "outputs": [
@@ -197,10 +197,10 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:59.378332Z",
-     "iopub.status.busy": "2024-05-29T16:52:59.377828Z",
-     "iopub.status.idle": "2024-05-29T16:52:59.384549Z",
-     "shell.execute_reply": "2024-05-29T16:52:59.383920Z"
+     "iopub.execute_input": "2024-06-03T13:32:40.360508Z",
+     "iopub.status.busy": "2024-06-03T13:32:40.360154Z",
+     "iopub.status.idle": "2024-06-03T13:32:40.364790Z",
+     "shell.execute_reply": "2024-06-03T13:32:40.364238Z"
     }
    },
    "outputs": [
@@ -225,10 +225,10 @@
    "execution_count": 6,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:59.387957Z",
-     "iopub.status.busy": "2024-05-29T16:52:59.387435Z",
-     "iopub.status.idle": "2024-05-29T16:52:59.634661Z",
-     "shell.execute_reply": "2024-05-29T16:52:59.633816Z"
+     "iopub.execute_input": "2024-06-03T13:32:40.367201Z",
+     "iopub.status.busy": "2024-06-03T13:32:40.366976Z",
+     "iopub.status.idle": "2024-06-03T13:32:40.611862Z",
+     "shell.execute_reply": "2024-06-03T13:32:40.610883Z"
     }
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    "outputs": [
@@ -253,10 +253,10 @@
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-     "iopub.execute_input": "2024-05-29T16:52:59.638289Z",
-     "iopub.status.busy": "2024-05-29T16:52:59.637999Z",
-     "iopub.status.idle": "2024-05-29T16:52:59.867443Z",
-     "shell.execute_reply": "2024-05-29T16:52:59.866629Z"
+     "iopub.execute_input": "2024-06-03T13:32:40.615412Z",
+     "iopub.status.busy": "2024-06-03T13:32:40.614758Z",
+     "iopub.status.idle": "2024-06-03T13:32:40.916804Z",
+     "shell.execute_reply": "2024-06-03T13:32:40.915975Z"
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    "outputs": [
@@ -288,10 +288,10 @@
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    "metadata": {
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-     "iopub.execute_input": "2024-05-29T16:52:59.870481Z",
-     "iopub.status.busy": "2024-05-29T16:52:59.870229Z",
-     "iopub.status.idle": "2024-05-29T16:52:59.938550Z",
-     "shell.execute_reply": "2024-05-29T16:52:59.937829Z"
+     "iopub.execute_input": "2024-06-03T13:32:40.919833Z",
+     "iopub.status.busy": "2024-06-03T13:32:40.919571Z",
+     "iopub.status.idle": "2024-06-03T13:32:40.976833Z",
+     "shell.execute_reply": "2024-06-03T13:32:40.975917Z"
     }
    },
    "outputs": [
diff --git a/_images/circuit_knitting-cutting-instructions-Move-1.svg b/_images/circuit_knitting-cutting-instructions-Move-1.svg
index d6d5eac5e..cdf6565d6 100644
--- a/_images/circuit_knitting-cutting-instructions-Move-1.svg
+++ b/_images/circuit_knitting-cutting-instructions-Move-1.svg
@@ -6,7 +6,7 @@
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-    <dc:date>2024-05-29T16:52:34.626146</dc:date>
+    <dc:date>2024-06-03T13:32:16.395793</dc:date>
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diff --git a/_images/index-1.svg b/_images/index-1.svg
index 937425c37..6b1d1d8ea 100644
--- a/_images/index-1.svg
+++ b/_images/index-1.svg
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-    <dc:date>2024-05-29T16:52:54.895845</dc:date>
+    <dc:date>2024-06-03T13:32:36.973306</dc:date>
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     <dc:creator>
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diff --git a/_sources/circuit_cutting/tutorials/01_gate_cutting_to_reduce_circuit_width.ipynb.txt b/_sources/circuit_cutting/tutorials/01_gate_cutting_to_reduce_circuit_width.ipynb.txt
index e9d3ac2c9..9b93edc5a 100644
--- a/_sources/circuit_cutting/tutorials/01_gate_cutting_to_reduce_circuit_width.ipynb.txt
+++ b/_sources/circuit_cutting/tutorials/01_gate_cutting_to_reduce_circuit_width.ipynb.txt
@@ -314,11 +314,10 @@
    "source": [
     "from qiskit_ibm_runtime import SamplerV2, Batch\n",
     "\n",
-    "# Set up the Qiskit Runtime Sampler primitive\n",
-    "sampler = SamplerV2(backend=backend)\n",
-    "\n",
-    "# Submit each partition's subexperiments as a single batch\n",
-    "with Batch(backend=backend):\n",
+    "# Submit each partition's subexperiments to the Qiskit Runtime Sampler\n",
+    "# primitive, in a single batch so that the jobs will run back-to-back.\n",
+    "with Batch(backend=backend) as batch:\n",
+    "    sampler = SamplerV2(session=batch)\n",
     "    jobs = {\n",
     "        label: sampler.run(subsystem_subexpts, shots=2**12)\n",
     "        for label, subsystem_subexpts in isa_subexperiments.items()\n",
diff --git a/_sources/circuit_cutting/tutorials/03_wire_cutting_via_move_instruction.ipynb.txt b/_sources/circuit_cutting/tutorials/03_wire_cutting_via_move_instruction.ipynb.txt
index 89b6bae81..7f7e938a3 100644
--- a/_sources/circuit_cutting/tutorials/03_wire_cutting_via_move_instruction.ipynb.txt
+++ b/_sources/circuit_cutting/tutorials/03_wire_cutting_via_move_instruction.ipynb.txt
@@ -408,11 +408,10 @@
    "source": [
     "from qiskit_ibm_runtime import SamplerV2, Batch\n",
     "\n",
-    "# Set up the Qiskit Runtime Sampler primitive\n",
-    "sampler = SamplerV2(backend=backend)\n",
-    "\n",
-    "# Submit each partition's subexperiments as a single batch\n",
-    "with Batch(backend=backend):\n",
+    "# Submit each partition's subexperiments to the Qiskit Runtime Sampler\n",
+    "# primitive, in a single batch so that the jobs will run back-to-back.\n",
+    "with Batch(backend=backend) as batch:\n",
+    "    sampler = SamplerV2(session=batch)\n",
     "    jobs = {\n",
     "        label: sampler.run(subsystem_subexpts, shots=2**12)\n",
     "        for label, subsystem_subexpts in isa_subexperiments.items()\n",
diff --git a/circuit_cutting/cutqc/tutorials/tutorial_1_automatic_cut_finding.html b/circuit_cutting/cutqc/tutorials/tutorial_1_automatic_cut_finding.html
index 543397bd6..e2f69606c 100644
--- a/circuit_cutting/cutqc/tutorials/tutorial_1_automatic_cut_finding.html
+++ b/circuit_cutting/cutqc/tutorials/tutorial_1_automatic_cut_finding.html
@@ -500,7 +500,7 @@ <h2>Evaluate the subcircuits<a class="headerlink" href="#Evaluate-the-subcircuit
 </div>
 <div class="output_area stderr docutils container">
 <div class="highlight"><pre>
-/tmp/ipykernel_2761/4196057829.py:3: DeprecationWarning: The function ``circuit_knitting.cutting.cutqc.wire_cutting.evaluate_subcircuits()`` is deprecated as of circuit-knitting-toolbox 0.7.0. It will be removed no sooner than CKT v0.8.0. Use the wire cutting or automated cut-finding functionality in the ``circuit_knitting.cutting`` package.
+/tmp/ipykernel_2809/4196057829.py:3: DeprecationWarning: The function ``circuit_knitting.cutting.cutqc.wire_cutting.evaluate_subcircuits()`` is deprecated as of circuit-knitting-toolbox 0.7.0. It will be removed no sooner than CKT v0.8.0. Use the wire cutting or automated cut-finding functionality in the ``circuit_knitting.cutting`` package.
   subcircuit_instance_probabilities = evaluate_subcircuits(cuts)
 </pre></div></div>
 </div>
@@ -629,7 +629,7 @@ <h2>Verify the results<a class="headerlink" href="#Verify-the-results" title="Li
 </div>
 <div class="output_area stderr docutils container">
 <div class="highlight"><pre>
-/tmp/ipykernel_2761/3419935587.py:3: DeprecationWarning: The function ``circuit_knitting.cutting.cutqc.wire_cutting_verification.verify()`` is deprecated as of circuit-knitting-toolbox 0.7.0. It will be removed no sooner than CKT v0.8.0. Use the wire cutting or automated cut-finding functionality in the ``circuit_knitting.cutting`` package.
+/tmp/ipykernel_2809/3419935587.py:3: DeprecationWarning: The function ``circuit_knitting.cutting.cutqc.wire_cutting_verification.verify()`` is deprecated as of circuit-knitting-toolbox 0.7.0. It will be removed no sooner than CKT v0.8.0. Use the wire cutting or automated cut-finding functionality in the ``circuit_knitting.cutting`` package.
   metrics, exact_probabilities = verify(circuit, reconstructed_probabilities)
 </pre></div></div>
 </div>
diff --git a/circuit_cutting/cutqc/tutorials/tutorial_1_automatic_cut_finding.ipynb b/circuit_cutting/cutqc/tutorials/tutorial_1_automatic_cut_finding.ipynb
index 2f92ad7cf..d94fe8c76 100644
--- a/circuit_cutting/cutqc/tutorials/tutorial_1_automatic_cut_finding.ipynb
+++ b/circuit_cutting/cutqc/tutorials/tutorial_1_automatic_cut_finding.ipynb
@@ -36,10 +36,10 @@
    "id": "eb859bde",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:35.912783Z",
-     "iopub.status.busy": "2024-05-29T16:52:35.912469Z",
-     "iopub.status.idle": "2024-05-29T16:52:37.330860Z",
-     "shell.execute_reply": "2024-05-29T16:52:37.330106Z"
+     "iopub.execute_input": "2024-06-03T13:32:17.571659Z",
+     "iopub.status.busy": "2024-06-03T13:32:17.571138Z",
+     "iopub.status.idle": "2024-06-03T13:32:18.970499Z",
+     "shell.execute_reply": "2024-06-03T13:32:18.969635Z"
     }
    },
    "outputs": [
@@ -95,10 +95,10 @@
    "id": "8c11457a",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:37.333876Z",
-     "iopub.status.busy": "2024-05-29T16:52:37.333562Z",
-     "iopub.status.idle": "2024-05-29T16:52:38.181780Z",
-     "shell.execute_reply": "2024-05-29T16:52:38.180560Z"
+     "iopub.execute_input": "2024-06-03T13:32:18.973458Z",
+     "iopub.status.busy": "2024-06-03T13:32:18.973164Z",
+     "iopub.status.idle": "2024-06-03T13:32:20.080337Z",
+     "shell.execute_reply": "2024-06-03T13:32:20.079157Z"
     }
    },
    "outputs": [],
@@ -135,10 +135,10 @@
    "id": "465733e2",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:38.186661Z",
-     "iopub.status.busy": "2024-05-29T16:52:38.185931Z",
-     "iopub.status.idle": "2024-05-29T16:52:38.191153Z",
-     "shell.execute_reply": "2024-05-29T16:52:38.190453Z"
+     "iopub.execute_input": "2024-06-03T13:32:20.085356Z",
+     "iopub.status.busy": "2024-06-03T13:32:20.084532Z",
+     "iopub.status.idle": "2024-06-03T13:32:20.089816Z",
+     "shell.execute_reply": "2024-06-03T13:32:20.089026Z"
     }
    },
    "outputs": [
@@ -168,10 +168,10 @@
    "id": "938f7733",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:38.194893Z",
-     "iopub.status.busy": "2024-05-29T16:52:38.194359Z",
-     "iopub.status.idle": "2024-05-29T16:52:38.586466Z",
-     "shell.execute_reply": "2024-05-29T16:52:38.585708Z"
+     "iopub.execute_input": "2024-06-03T13:32:20.093380Z",
+     "iopub.status.busy": "2024-06-03T13:32:20.092633Z",
+     "iopub.status.idle": "2024-06-03T13:32:20.503660Z",
+     "shell.execute_reply": "2024-06-03T13:32:20.502283Z"
     }
    },
    "outputs": [
@@ -198,10 +198,10 @@
    "id": "1c3a5712",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:38.590404Z",
-     "iopub.status.busy": "2024-05-29T16:52:38.589839Z",
-     "iopub.status.idle": "2024-05-29T16:52:38.934373Z",
-     "shell.execute_reply": "2024-05-29T16:52:38.933620Z"
+     "iopub.execute_input": "2024-06-03T13:32:20.507109Z",
+     "iopub.status.busy": "2024-06-03T13:32:20.506752Z",
+     "iopub.status.idle": "2024-06-03T13:32:20.810119Z",
+     "shell.execute_reply": "2024-06-03T13:32:20.809435Z"
     }
    },
    "outputs": [
@@ -247,10 +247,10 @@
    "id": "5d1fb2ca",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:38.938342Z",
-     "iopub.status.busy": "2024-05-29T16:52:38.937823Z",
-     "iopub.status.idle": "2024-05-29T16:52:38.941545Z",
-     "shell.execute_reply": "2024-05-29T16:52:38.940868Z"
+     "iopub.execute_input": "2024-06-03T13:32:20.813449Z",
+     "iopub.status.busy": "2024-06-03T13:32:20.813218Z",
+     "iopub.status.idle": "2024-06-03T13:32:20.816782Z",
+     "shell.execute_reply": "2024-06-03T13:32:20.816088Z"
     }
    },
    "outputs": [],
@@ -282,10 +282,10 @@
    "id": "3cc622d9",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:38.944991Z",
-     "iopub.status.busy": "2024-05-29T16:52:38.944566Z",
-     "iopub.status.idle": "2024-05-29T16:52:38.949122Z",
-     "shell.execute_reply": "2024-05-29T16:52:38.948495Z"
+     "iopub.execute_input": "2024-06-03T13:32:20.819655Z",
+     "iopub.status.busy": "2024-06-03T13:32:20.819093Z",
+     "iopub.status.idle": "2024-06-03T13:32:20.824055Z",
+     "shell.execute_reply": "2024-06-03T13:32:20.823367Z"
     }
    },
    "outputs": [],
@@ -315,10 +315,10 @@
    "id": "2ae5160c",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:38.952300Z",
-     "iopub.status.busy": "2024-05-29T16:52:38.951880Z",
-     "iopub.status.idle": "2024-05-29T16:52:39.125097Z",
-     "shell.execute_reply": "2024-05-29T16:52:39.124352Z"
+     "iopub.execute_input": "2024-06-03T13:32:20.827117Z",
+     "iopub.status.busy": "2024-06-03T13:32:20.826537Z",
+     "iopub.status.idle": "2024-06-03T13:32:20.987144Z",
+     "shell.execute_reply": "2024-06-03T13:32:20.986425Z"
     }
    },
    "outputs": [
@@ -326,7 +326,7 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "/tmp/ipykernel_2761/4196057829.py:3: DeprecationWarning: The function ``circuit_knitting.cutting.cutqc.wire_cutting.evaluate_subcircuits()`` is deprecated as of circuit-knitting-toolbox 0.7.0. It will be removed no sooner than CKT v0.8.0. Use the wire cutting or automated cut-finding functionality in the ``circuit_knitting.cutting`` package. \n",
+      "/tmp/ipykernel_2809/4196057829.py:3: DeprecationWarning: The function ``circuit_knitting.cutting.cutqc.wire_cutting.evaluate_subcircuits()`` is deprecated as of circuit-knitting-toolbox 0.7.0. It will be removed no sooner than CKT v0.8.0. Use the wire cutting or automated cut-finding functionality in the ``circuit_knitting.cutting`` package. \n",
       "  subcircuit_instance_probabilities = evaluate_subcircuits(cuts)\n"
      ]
     }
@@ -360,10 +360,10 @@
    "id": "fa22661e",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:39.128225Z",
-     "iopub.status.busy": "2024-05-29T16:52:39.127978Z",
-     "iopub.status.idle": "2024-05-29T16:52:39.132107Z",
-     "shell.execute_reply": "2024-05-29T16:52:39.131321Z"
+     "iopub.execute_input": "2024-06-03T13:32:20.990507Z",
+     "iopub.status.busy": "2024-06-03T13:32:20.990176Z",
+     "iopub.status.idle": "2024-06-03T13:32:20.993934Z",
+     "shell.execute_reply": "2024-06-03T13:32:20.993324Z"
     }
    },
    "outputs": [
@@ -396,10 +396,10 @@
    "id": "7e57f303",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:39.135036Z",
-     "iopub.status.busy": "2024-05-29T16:52:39.134565Z",
-     "iopub.status.idle": "2024-05-29T16:52:39.138918Z",
-     "shell.execute_reply": "2024-05-29T16:52:39.138118Z"
+     "iopub.execute_input": "2024-06-03T13:32:20.996959Z",
+     "iopub.status.busy": "2024-06-03T13:32:20.996578Z",
+     "iopub.status.idle": "2024-06-03T13:32:21.000745Z",
+     "shell.execute_reply": "2024-06-03T13:32:20.999965Z"
     }
    },
    "outputs": [
@@ -435,10 +435,10 @@
    "id": "3ec4d42c",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:39.141761Z",
-     "iopub.status.busy": "2024-05-29T16:52:39.141539Z",
-     "iopub.status.idle": "2024-05-29T16:52:39.145765Z",
-     "shell.execute_reply": "2024-05-29T16:52:39.144940Z"
+     "iopub.execute_input": "2024-06-03T13:32:21.003199Z",
+     "iopub.status.busy": "2024-06-03T13:32:21.002910Z",
+     "iopub.status.idle": "2024-06-03T13:32:21.007187Z",
+     "shell.execute_reply": "2024-06-03T13:32:21.006484Z"
     }
    },
    "outputs": [
@@ -478,10 +478,10 @@
    "id": "5aceecc0",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:39.148474Z",
-     "iopub.status.busy": "2024-05-29T16:52:39.148272Z",
-     "iopub.status.idle": "2024-05-29T16:52:40.551984Z",
-     "shell.execute_reply": "2024-05-29T16:52:40.550870Z"
+     "iopub.execute_input": "2024-06-03T13:32:21.010062Z",
+     "iopub.status.busy": "2024-06-03T13:32:21.009511Z",
+     "iopub.status.idle": "2024-06-03T13:32:22.513091Z",
+     "shell.execute_reply": "2024-06-03T13:32:22.512236Z"
     }
    },
    "outputs": [],
@@ -511,10 +511,10 @@
    "id": "919958cb",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:40.556549Z",
-     "iopub.status.busy": "2024-05-29T16:52:40.555933Z",
-     "iopub.status.idle": "2024-05-29T16:52:40.560627Z",
-     "shell.execute_reply": "2024-05-29T16:52:40.559972Z"
+     "iopub.execute_input": "2024-06-03T13:32:22.517364Z",
+     "iopub.status.busy": "2024-06-03T13:32:22.516858Z",
+     "iopub.status.idle": "2024-06-03T13:32:22.521033Z",
+     "shell.execute_reply": "2024-06-03T13:32:22.520372Z"
     }
    },
    "outputs": [
@@ -548,10 +548,10 @@
    "id": "5353b0c8",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:40.564269Z",
-     "iopub.status.busy": "2024-05-29T16:52:40.564008Z",
-     "iopub.status.idle": "2024-05-29T16:52:40.575290Z",
-     "shell.execute_reply": "2024-05-29T16:52:40.574466Z"
+     "iopub.execute_input": "2024-06-03T13:32:22.524395Z",
+     "iopub.status.busy": "2024-06-03T13:32:22.523985Z",
+     "iopub.status.idle": "2024-06-03T13:32:22.532817Z",
+     "shell.execute_reply": "2024-06-03T13:32:22.531968Z"
     }
    },
    "outputs": [
@@ -559,7 +559,7 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "/tmp/ipykernel_2761/3419935587.py:3: DeprecationWarning: The function ``circuit_knitting.cutting.cutqc.wire_cutting_verification.verify()`` is deprecated as of circuit-knitting-toolbox 0.7.0. It will be removed no sooner than CKT v0.8.0. Use the wire cutting or automated cut-finding functionality in the ``circuit_knitting.cutting`` package. \n",
+      "/tmp/ipykernel_2809/3419935587.py:3: DeprecationWarning: The function ``circuit_knitting.cutting.cutqc.wire_cutting_verification.verify()`` is deprecated as of circuit-knitting-toolbox 0.7.0. It will be removed no sooner than CKT v0.8.0. Use the wire cutting or automated cut-finding functionality in the ``circuit_knitting.cutting`` package. \n",
       "  metrics, exact_probabilities = verify(circuit, reconstructed_probabilities)\n"
      ]
     }
@@ -586,10 +586,10 @@
    "id": "673d3cb3",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:40.578860Z",
-     "iopub.status.busy": "2024-05-29T16:52:40.578592Z",
-     "iopub.status.idle": "2024-05-29T16:52:40.586305Z",
-     "shell.execute_reply": "2024-05-29T16:52:40.585507Z"
+     "iopub.execute_input": "2024-06-03T13:32:22.535693Z",
+     "iopub.status.busy": "2024-06-03T13:32:22.535256Z",
+     "iopub.status.idle": "2024-06-03T13:32:22.540681Z",
+     "shell.execute_reply": "2024-06-03T13:32:22.539960Z"
     }
    },
    "outputs": [
@@ -633,10 +633,10 @@
    "id": "c8cc97e9",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:40.589898Z",
-     "iopub.status.busy": "2024-05-29T16:52:40.589177Z",
-     "iopub.status.idle": "2024-05-29T16:52:40.845536Z",
-     "shell.execute_reply": "2024-05-29T16:52:40.844758Z"
+     "iopub.execute_input": "2024-06-03T13:32:22.543629Z",
+     "iopub.status.busy": "2024-06-03T13:32:22.543202Z",
+     "iopub.status.idle": "2024-06-03T13:32:22.808019Z",
+     "shell.execute_reply": "2024-06-03T13:32:22.807196Z"
     }
    },
    "outputs": [
diff --git a/circuit_cutting/cutqc/tutorials/tutorial_2_manual_cutting.html b/circuit_cutting/cutqc/tutorials/tutorial_2_manual_cutting.html
index 99f5aee71..0d324b129 100644
--- a/circuit_cutting/cutqc/tutorials/tutorial_2_manual_cutting.html
+++ b/circuit_cutting/cutqc/tutorials/tutorial_2_manual_cutting.html
@@ -480,7 +480,7 @@ <h2>Evaluate the subcircuits<a class="headerlink" href="#Evaluate-the-subcircuit
 </div>
 <div class="output_area stderr docutils container">
 <div class="highlight"><pre>
-/tmp/ipykernel_3039/4196057829.py:3: DeprecationWarning: The function ``circuit_knitting.cutting.cutqc.wire_cutting.evaluate_subcircuits()`` is deprecated as of circuit-knitting-toolbox 0.7.0. It will be removed no sooner than CKT v0.8.0. Use the wire cutting or automated cut-finding functionality in the ``circuit_knitting.cutting`` package.
+/tmp/ipykernel_3086/4196057829.py:3: DeprecationWarning: The function ``circuit_knitting.cutting.cutqc.wire_cutting.evaluate_subcircuits()`` is deprecated as of circuit-knitting-toolbox 0.7.0. It will be removed no sooner than CKT v0.8.0. Use the wire cutting or automated cut-finding functionality in the ``circuit_knitting.cutting`` package.
   subcircuit_instance_probabilities = evaluate_subcircuits(cuts)
 </pre></div></div>
 </div>
@@ -524,7 +524,7 @@ <h2>Verify the results<a class="headerlink" href="#Verify-the-results" title="Li
 </div>
 <div class="output_area stderr docutils container">
 <div class="highlight"><pre>
-/tmp/ipykernel_3039/3419935587.py:3: DeprecationWarning: The function ``circuit_knitting.cutting.cutqc.wire_cutting_verification.verify()`` is deprecated as of circuit-knitting-toolbox 0.7.0. It will be removed no sooner than CKT v0.8.0. Use the wire cutting or automated cut-finding functionality in the ``circuit_knitting.cutting`` package.
+/tmp/ipykernel_3086/3419935587.py:3: DeprecationWarning: The function ``circuit_knitting.cutting.cutqc.wire_cutting_verification.verify()`` is deprecated as of circuit-knitting-toolbox 0.7.0. It will be removed no sooner than CKT v0.8.0. Use the wire cutting or automated cut-finding functionality in the ``circuit_knitting.cutting`` package.
   metrics, exact_probabilities = verify(circuit, reconstructed_probabilities)
 </pre></div></div>
 </div>
diff --git a/circuit_cutting/cutqc/tutorials/tutorial_2_manual_cutting.ipynb b/circuit_cutting/cutqc/tutorials/tutorial_2_manual_cutting.ipynb
index 471b4b5cd..70e9e5bd5 100644
--- a/circuit_cutting/cutqc/tutorials/tutorial_2_manual_cutting.ipynb
+++ b/circuit_cutting/cutqc/tutorials/tutorial_2_manual_cutting.ipynb
@@ -36,10 +36,10 @@
    "id": "eb859bde",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:46.626715Z",
-     "iopub.status.busy": "2024-05-29T16:52:46.626415Z",
-     "iopub.status.idle": "2024-05-29T16:52:47.996646Z",
-     "shell.execute_reply": "2024-05-29T16:52:47.995821Z"
+     "iopub.execute_input": "2024-06-03T13:32:28.714908Z",
+     "iopub.status.busy": "2024-06-03T13:32:28.714610Z",
+     "iopub.status.idle": "2024-06-03T13:32:30.074038Z",
+     "shell.execute_reply": "2024-06-03T13:32:30.073331Z"
     }
    },
    "outputs": [
@@ -107,10 +107,10 @@
    "id": "8c11457a",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:47.999850Z",
-     "iopub.status.busy": "2024-05-29T16:52:47.999241Z",
-     "iopub.status.idle": "2024-05-29T16:52:48.667387Z",
-     "shell.execute_reply": "2024-05-29T16:52:48.666491Z"
+     "iopub.execute_input": "2024-06-03T13:32:30.079298Z",
+     "iopub.status.busy": "2024-06-03T13:32:30.077824Z",
+     "iopub.status.idle": "2024-06-03T13:32:30.823681Z",
+     "shell.execute_reply": "2024-06-03T13:32:30.822834Z"
     }
    },
    "outputs": [],
@@ -138,10 +138,10 @@
    "id": "5816c27f",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:48.673049Z",
-     "iopub.status.busy": "2024-05-29T16:52:48.671686Z",
-     "iopub.status.idle": "2024-05-29T16:52:48.902736Z",
-     "shell.execute_reply": "2024-05-29T16:52:48.901961Z"
+     "iopub.execute_input": "2024-06-03T13:32:30.826684Z",
+     "iopub.status.busy": "2024-06-03T13:32:30.826393Z",
+     "iopub.status.idle": "2024-06-03T13:32:30.977461Z",
+     "shell.execute_reply": "2024-06-03T13:32:30.976754Z"
     }
    },
    "outputs": [
@@ -168,10 +168,10 @@
    "id": "5f605d57",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:48.906655Z",
-     "iopub.status.busy": "2024-05-29T16:52:48.905983Z",
-     "iopub.status.idle": "2024-05-29T16:52:49.119025Z",
-     "shell.execute_reply": "2024-05-29T16:52:49.118290Z"
+     "iopub.execute_input": "2024-06-03T13:32:30.985530Z",
+     "iopub.status.busy": "2024-06-03T13:32:30.980471Z",
+     "iopub.status.idle": "2024-06-03T13:32:31.176025Z",
+     "shell.execute_reply": "2024-06-03T13:32:31.175089Z"
     }
    },
    "outputs": [
@@ -217,10 +217,10 @@
    "id": "7fd84c6e",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:49.122152Z",
-     "iopub.status.busy": "2024-05-29T16:52:49.121664Z",
-     "iopub.status.idle": "2024-05-29T16:52:49.125864Z",
-     "shell.execute_reply": "2024-05-29T16:52:49.125057Z"
+     "iopub.execute_input": "2024-06-03T13:32:31.182068Z",
+     "iopub.status.busy": "2024-06-03T13:32:31.180676Z",
+     "iopub.status.idle": "2024-06-03T13:32:31.186584Z",
+     "shell.execute_reply": "2024-06-03T13:32:31.185860Z"
     }
    },
    "outputs": [],
@@ -255,10 +255,10 @@
    "id": "aafc01ef",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:49.128802Z",
-     "iopub.status.busy": "2024-05-29T16:52:49.128584Z",
-     "iopub.status.idle": "2024-05-29T16:52:49.138411Z",
-     "shell.execute_reply": "2024-05-29T16:52:49.137806Z"
+     "iopub.execute_input": "2024-06-03T13:32:31.190664Z",
+     "iopub.status.busy": "2024-06-03T13:32:31.190358Z",
+     "iopub.status.idle": "2024-06-03T13:32:31.196800Z",
+     "shell.execute_reply": "2024-06-03T13:32:31.196022Z"
     }
    },
    "outputs": [],
@@ -286,10 +286,10 @@
    "id": "2ae5160c",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:49.142705Z",
-     "iopub.status.busy": "2024-05-29T16:52:49.141628Z",
-     "iopub.status.idle": "2024-05-29T16:52:49.180457Z",
-     "shell.execute_reply": "2024-05-29T16:52:49.178981Z"
+     "iopub.execute_input": "2024-06-03T13:32:31.202371Z",
+     "iopub.status.busy": "2024-06-03T13:32:31.201039Z",
+     "iopub.status.idle": "2024-06-03T13:32:31.249874Z",
+     "shell.execute_reply": "2024-06-03T13:32:31.249100Z"
     }
    },
    "outputs": [
@@ -297,7 +297,7 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "/tmp/ipykernel_3039/4196057829.py:3: DeprecationWarning: The function ``circuit_knitting.cutting.cutqc.wire_cutting.evaluate_subcircuits()`` is deprecated as of circuit-knitting-toolbox 0.7.0. It will be removed no sooner than CKT v0.8.0. Use the wire cutting or automated cut-finding functionality in the ``circuit_knitting.cutting`` package. \n",
+      "/tmp/ipykernel_3086/4196057829.py:3: DeprecationWarning: The function ``circuit_knitting.cutting.cutqc.wire_cutting.evaluate_subcircuits()`` is deprecated as of circuit-knitting-toolbox 0.7.0. It will be removed no sooner than CKT v0.8.0. Use the wire cutting or automated cut-finding functionality in the ``circuit_knitting.cutting`` package. \n",
       "  subcircuit_instance_probabilities = evaluate_subcircuits(cuts)\n"
      ]
     }
@@ -339,10 +339,10 @@
    "id": "5aceecc0",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:49.183712Z",
-     "iopub.status.busy": "2024-05-29T16:52:49.183472Z",
-     "iopub.status.idle": "2024-05-29T16:52:50.473416Z",
-     "shell.execute_reply": "2024-05-29T16:52:50.472467Z"
+     "iopub.execute_input": "2024-06-03T13:32:31.252947Z",
+     "iopub.status.busy": "2024-06-03T13:32:31.252427Z",
+     "iopub.status.idle": "2024-06-03T13:32:32.566720Z",
+     "shell.execute_reply": "2024-06-03T13:32:32.565871Z"
     }
    },
    "outputs": [],
@@ -374,10 +374,10 @@
    "id": "5353b0c8",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:50.476913Z",
-     "iopub.status.busy": "2024-05-29T16:52:50.476430Z",
-     "iopub.status.idle": "2024-05-29T16:52:50.484620Z",
-     "shell.execute_reply": "2024-05-29T16:52:50.483874Z"
+     "iopub.execute_input": "2024-06-03T13:32:32.570345Z",
+     "iopub.status.busy": "2024-06-03T13:32:32.570096Z",
+     "iopub.status.idle": "2024-06-03T13:32:32.578779Z",
+     "shell.execute_reply": "2024-06-03T13:32:32.578084Z"
     }
    },
    "outputs": [
@@ -385,7 +385,7 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "/tmp/ipykernel_3039/3419935587.py:3: DeprecationWarning: The function ``circuit_knitting.cutting.cutqc.wire_cutting_verification.verify()`` is deprecated as of circuit-knitting-toolbox 0.7.0. It will be removed no sooner than CKT v0.8.0. Use the wire cutting or automated cut-finding functionality in the ``circuit_knitting.cutting`` package. \n",
+      "/tmp/ipykernel_3086/3419935587.py:3: DeprecationWarning: The function ``circuit_knitting.cutting.cutqc.wire_cutting_verification.verify()`` is deprecated as of circuit-knitting-toolbox 0.7.0. It will be removed no sooner than CKT v0.8.0. Use the wire cutting or automated cut-finding functionality in the ``circuit_knitting.cutting`` package. \n",
       "  metrics, exact_probabilities = verify(circuit, reconstructed_probabilities)\n"
      ]
     }
@@ -412,10 +412,10 @@
    "id": "8d54b767",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:50.487845Z",
-     "iopub.status.busy": "2024-05-29T16:52:50.487254Z",
-     "iopub.status.idle": "2024-05-29T16:52:50.495208Z",
-     "shell.execute_reply": "2024-05-29T16:52:50.494585Z"
+     "iopub.execute_input": "2024-06-03T13:32:32.582054Z",
+     "iopub.status.busy": "2024-06-03T13:32:32.581490Z",
+     "iopub.status.idle": "2024-06-03T13:32:32.587697Z",
+     "shell.execute_reply": "2024-06-03T13:32:32.586987Z"
     }
    },
    "outputs": [
@@ -459,10 +459,10 @@
    "id": "c8cc97e9",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:50.498391Z",
-     "iopub.status.busy": "2024-05-29T16:52:50.498152Z",
-     "iopub.status.idle": "2024-05-29T16:52:50.849024Z",
-     "shell.execute_reply": "2024-05-29T16:52:50.848096Z"
+     "iopub.execute_input": "2024-06-03T13:32:32.590682Z",
+     "iopub.status.busy": "2024-06-03T13:32:32.590181Z",
+     "iopub.status.idle": "2024-06-03T13:32:32.938396Z",
+     "shell.execute_reply": "2024-06-03T13:32:32.937510Z"
     }
    },
    "outputs": [
diff --git a/circuit_cutting/how-tos/how_to_generate_exact_quasi_dists_from_sampler.ipynb b/circuit_cutting/how-tos/how_to_generate_exact_quasi_dists_from_sampler.ipynb
index bc466950f..7087644d4 100644
--- a/circuit_cutting/how-tos/how_to_generate_exact_quasi_dists_from_sampler.ipynb
+++ b/circuit_cutting/how-tos/how_to_generate_exact_quasi_dists_from_sampler.ipynb
@@ -16,10 +16,10 @@
    "id": "072055cb",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:55.865012Z",
-     "iopub.status.busy": "2024-05-29T16:52:55.864736Z",
-     "iopub.status.idle": "2024-05-29T16:52:56.272749Z",
-     "shell.execute_reply": "2024-05-29T16:52:56.271965Z"
+     "iopub.execute_input": "2024-06-03T13:32:37.925665Z",
+     "iopub.status.busy": "2024-06-03T13:32:37.925125Z",
+     "iopub.status.idle": "2024-06-03T13:32:38.393684Z",
+     "shell.execute_reply": "2024-06-03T13:32:38.392910Z"
     }
    },
    "outputs": [],
@@ -47,10 +47,10 @@
    "id": "dc4af922",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:56.276142Z",
-     "iopub.status.busy": "2024-05-29T16:52:56.275631Z",
-     "iopub.status.idle": "2024-05-29T16:52:56.285815Z",
-     "shell.execute_reply": "2024-05-29T16:52:56.285083Z"
+     "iopub.execute_input": "2024-06-03T13:32:38.397638Z",
+     "iopub.status.busy": "2024-06-03T13:32:38.397211Z",
+     "iopub.status.idle": "2024-06-03T13:32:38.421000Z",
+     "shell.execute_reply": "2024-06-03T13:32:38.420061Z"
     }
    },
    "outputs": [],
@@ -80,10 +80,10 @@
    "id": "d095701f",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:56.288669Z",
-     "iopub.status.busy": "2024-05-29T16:52:56.288267Z",
-     "iopub.status.idle": "2024-05-29T16:52:56.296510Z",
-     "shell.execute_reply": "2024-05-29T16:52:56.295831Z"
+     "iopub.execute_input": "2024-06-03T13:32:38.424777Z",
+     "iopub.status.busy": "2024-06-03T13:32:38.424408Z",
+     "iopub.status.idle": "2024-06-03T13:32:38.435223Z",
+     "shell.execute_reply": "2024-06-03T13:32:38.434532Z"
     }
    },
    "outputs": [],
@@ -109,10 +109,10 @@
    "id": "7a74f709",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:56.299496Z",
-     "iopub.status.busy": "2024-05-29T16:52:56.298929Z",
-     "iopub.status.idle": "2024-05-29T16:52:56.303353Z",
-     "shell.execute_reply": "2024-05-29T16:52:56.302669Z"
+     "iopub.execute_input": "2024-06-03T13:32:38.438669Z",
+     "iopub.status.busy": "2024-06-03T13:32:38.438374Z",
+     "iopub.status.idle": "2024-06-03T13:32:38.442586Z",
+     "shell.execute_reply": "2024-06-03T13:32:38.441863Z"
     }
    },
    "outputs": [],
@@ -136,10 +136,10 @@
    "id": "7019d781",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:56.306292Z",
-     "iopub.status.busy": "2024-05-29T16:52:56.306092Z",
-     "iopub.status.idle": "2024-05-29T16:52:56.318799Z",
-     "shell.execute_reply": "2024-05-29T16:52:56.318105Z"
+     "iopub.execute_input": "2024-06-03T13:32:38.445635Z",
+     "iopub.status.busy": "2024-06-03T13:32:38.445124Z",
+     "iopub.status.idle": "2024-06-03T13:32:38.460588Z",
+     "shell.execute_reply": "2024-06-03T13:32:38.460000Z"
     }
    },
    "outputs": [],
diff --git a/circuit_cutting/how-tos/how_to_generate_exact_sampling_coefficients.ipynb b/circuit_cutting/how-tos/how_to_generate_exact_sampling_coefficients.ipynb
index 4a536b2eb..c47e76ccc 100644
--- a/circuit_cutting/how-tos/how_to_generate_exact_sampling_coefficients.ipynb
+++ b/circuit_cutting/how-tos/how_to_generate_exact_sampling_coefficients.ipynb
@@ -18,10 +18,10 @@
    "id": "dc54656b",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:57.944382Z",
-     "iopub.status.busy": "2024-05-29T16:52:57.944086Z",
-     "iopub.status.idle": "2024-05-29T16:52:58.414280Z",
-     "shell.execute_reply": "2024-05-29T16:52:58.413453Z"
+     "iopub.execute_input": "2024-06-03T13:32:40.443960Z",
+     "iopub.status.busy": "2024-06-03T13:32:40.443722Z",
+     "iopub.status.idle": "2024-06-03T13:32:40.974667Z",
+     "shell.execute_reply": "2024-06-03T13:32:40.973843Z"
     }
    },
    "outputs": [],
@@ -42,10 +42,10 @@
    "id": "dd147239",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:58.418109Z",
-     "iopub.status.busy": "2024-05-29T16:52:58.417841Z",
-     "iopub.status.idle": "2024-05-29T16:52:59.140322Z",
-     "shell.execute_reply": "2024-05-29T16:52:59.139526Z"
+     "iopub.execute_input": "2024-06-03T13:32:40.978102Z",
+     "iopub.status.busy": "2024-06-03T13:32:40.977801Z",
+     "iopub.status.idle": "2024-06-03T13:32:41.661377Z",
+     "shell.execute_reply": "2024-06-03T13:32:41.660647Z"
     }
    },
    "outputs": [
@@ -82,10 +82,10 @@
    "id": "d4ccf5b8",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:59.144535Z",
-     "iopub.status.busy": "2024-05-29T16:52:59.144006Z",
-     "iopub.status.idle": "2024-05-29T16:52:59.336749Z",
-     "shell.execute_reply": "2024-05-29T16:52:59.335871Z"
+     "iopub.execute_input": "2024-06-03T13:32:41.664572Z",
+     "iopub.status.busy": "2024-06-03T13:32:41.664041Z",
+     "iopub.status.idle": "2024-06-03T13:32:41.842438Z",
+     "shell.execute_reply": "2024-06-03T13:32:41.841705Z"
     }
    },
    "outputs": [
@@ -117,10 +117,10 @@
    "id": "44956cbb",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:59.340015Z",
-     "iopub.status.busy": "2024-05-29T16:52:59.339379Z",
-     "iopub.status.idle": "2024-05-29T16:52:59.603472Z",
-     "shell.execute_reply": "2024-05-29T16:52:59.602602Z"
+     "iopub.execute_input": "2024-06-03T13:32:41.845622Z",
+     "iopub.status.busy": "2024-06-03T13:32:41.845374Z",
+     "iopub.status.idle": "2024-06-03T13:32:42.075617Z",
+     "shell.execute_reply": "2024-06-03T13:32:42.074825Z"
     }
    },
    "outputs": [
@@ -156,10 +156,10 @@
    "id": "8c56282f",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:59.607039Z",
-     "iopub.status.busy": "2024-05-29T16:52:59.606733Z",
-     "iopub.status.idle": "2024-05-29T16:52:59.654841Z",
-     "shell.execute_reply": "2024-05-29T16:52:59.654104Z"
+     "iopub.execute_input": "2024-06-03T13:32:42.078907Z",
+     "iopub.status.busy": "2024-06-03T13:32:42.078419Z",
+     "iopub.status.idle": "2024-06-03T13:32:42.125547Z",
+     "shell.execute_reply": "2024-06-03T13:32:42.124809Z"
     }
    },
    "outputs": [
@@ -236,10 +236,10 @@
    "id": "78539fcc",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:59.657757Z",
-     "iopub.status.busy": "2024-05-29T16:52:59.657517Z",
-     "iopub.status.idle": "2024-05-29T16:52:59.662161Z",
-     "shell.execute_reply": "2024-05-29T16:52:59.661438Z"
+     "iopub.execute_input": "2024-06-03T13:32:42.129132Z",
+     "iopub.status.busy": "2024-06-03T13:32:42.128592Z",
+     "iopub.status.idle": "2024-06-03T13:32:42.132702Z",
+     "shell.execute_reply": "2024-06-03T13:32:42.132017Z"
     }
    },
    "outputs": [
@@ -269,10 +269,10 @@
    "id": "f07a6cc3",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:59.665391Z",
-     "iopub.status.busy": "2024-05-29T16:52:59.664747Z",
-     "iopub.status.idle": "2024-05-29T16:52:59.672235Z",
-     "shell.execute_reply": "2024-05-29T16:52:59.671495Z"
+     "iopub.execute_input": "2024-06-03T13:32:42.135580Z",
+     "iopub.status.busy": "2024-06-03T13:32:42.135165Z",
+     "iopub.status.idle": "2024-06-03T13:32:42.140774Z",
+     "shell.execute_reply": "2024-06-03T13:32:42.139932Z"
     }
    },
    "outputs": [
@@ -319,10 +319,10 @@
    "id": "43d32869",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:59.675434Z",
-     "iopub.status.busy": "2024-05-29T16:52:59.674804Z",
-     "iopub.status.idle": "2024-05-29T16:52:59.727809Z",
-     "shell.execute_reply": "2024-05-29T16:52:59.727099Z"
+     "iopub.execute_input": "2024-06-03T13:32:42.143628Z",
+     "iopub.status.busy": "2024-06-03T13:32:42.143175Z",
+     "iopub.status.idle": "2024-06-03T13:32:42.191787Z",
+     "shell.execute_reply": "2024-06-03T13:32:42.190968Z"
     }
    },
    "outputs": [
diff --git a/circuit_cutting/how-tos/how_to_specify_cut_wires.html b/circuit_cutting/how-tos/how_to_specify_cut_wires.html
index 9f32901d3..57c8cde3f 100644
--- a/circuit_cutting/how-tos/how_to_specify_cut_wires.html
+++ b/circuit_cutting/how-tos/how_to_specify_cut_wires.html
@@ -574,10 +574,10 @@ <h2>Generate and run the cutting experiments; reconstruct and compare against un
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-Reconstructed expectation value: 1.54897046
+Reconstructed expectation value: 1.57090008
 Exact expectation value: 1.59099026
-Error in estimation: -0.0420198
-Relative error in estimation: -0.0264111
+Error in estimation: -0.02009018
+Relative error in estimation: -0.01262747
 </pre></div></div>
 </div>
 </section>
diff --git a/circuit_cutting/how-tos/how_to_specify_cut_wires.ipynb b/circuit_cutting/how-tos/how_to_specify_cut_wires.ipynb
index 6b06377a5..3e548a0d9 100644
--- a/circuit_cutting/how-tos/how_to_specify_cut_wires.ipynb
+++ b/circuit_cutting/how-tos/how_to_specify_cut_wires.ipynb
@@ -16,10 +16,10 @@
    "id": "1aa871cb",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:01.780647Z",
-     "iopub.status.busy": "2024-05-29T16:53:01.780326Z",
-     "iopub.status.idle": "2024-05-29T16:53:02.180388Z",
-     "shell.execute_reply": "2024-05-29T16:53:02.179748Z"
+     "iopub.execute_input": "2024-06-03T13:32:44.295572Z",
+     "iopub.status.busy": "2024-06-03T13:32:44.295292Z",
+     "iopub.status.idle": "2024-06-03T13:32:44.679319Z",
+     "shell.execute_reply": "2024-06-03T13:32:44.678692Z"
     }
    },
    "outputs": [],
@@ -55,10 +55,10 @@
    "id": "0ae22516",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:02.183695Z",
-     "iopub.status.busy": "2024-05-29T16:53:02.183199Z",
-     "iopub.status.idle": "2024-05-29T16:53:02.843691Z",
-     "shell.execute_reply": "2024-05-29T16:53:02.842941Z"
+     "iopub.execute_input": "2024-06-03T13:32:44.682294Z",
+     "iopub.status.busy": "2024-06-03T13:32:44.682038Z",
+     "iopub.status.idle": "2024-06-03T13:32:45.336107Z",
+     "shell.execute_reply": "2024-06-03T13:32:45.335540Z"
     }
    },
    "outputs": [
@@ -108,10 +108,10 @@
    "id": "631286a6",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:02.846621Z",
-     "iopub.status.busy": "2024-05-29T16:53:02.846134Z",
-     "iopub.status.idle": "2024-05-29T16:53:03.114578Z",
-     "shell.execute_reply": "2024-05-29T16:53:03.113869Z"
+     "iopub.execute_input": "2024-06-03T13:32:45.338797Z",
+     "iopub.status.busy": "2024-06-03T13:32:45.338352Z",
+     "iopub.status.idle": "2024-06-03T13:32:45.628434Z",
+     "shell.execute_reply": "2024-06-03T13:32:45.627680Z"
     }
    },
    "outputs": [
@@ -147,10 +147,10 @@
    "id": "847a3205",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:03.117609Z",
-     "iopub.status.busy": "2024-05-29T16:53:03.117151Z",
-     "iopub.status.idle": "2024-05-29T16:53:03.120699Z",
-     "shell.execute_reply": "2024-05-29T16:53:03.120086Z"
+     "iopub.execute_input": "2024-06-03T13:32:45.631146Z",
+     "iopub.status.busy": "2024-06-03T13:32:45.630886Z",
+     "iopub.status.idle": "2024-06-03T13:32:45.634661Z",
+     "shell.execute_reply": "2024-06-03T13:32:45.634104Z"
     }
    },
    "outputs": [],
@@ -176,10 +176,10 @@
    "id": "e4ee1559",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:03.123311Z",
-     "iopub.status.busy": "2024-05-29T16:53:03.122913Z",
-     "iopub.status.idle": "2024-05-29T16:53:03.393184Z",
-     "shell.execute_reply": "2024-05-29T16:53:03.392456Z"
+     "iopub.execute_input": "2024-06-03T13:32:45.636992Z",
+     "iopub.status.busy": "2024-06-03T13:32:45.636787Z",
+     "iopub.status.idle": "2024-06-03T13:32:45.912251Z",
+     "shell.execute_reply": "2024-06-03T13:32:45.911489Z"
     }
    },
    "outputs": [
@@ -218,10 +218,10 @@
    "id": "95fbeda0",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:03.396407Z",
-     "iopub.status.busy": "2024-05-29T16:53:03.395841Z",
-     "iopub.status.idle": "2024-05-29T16:53:03.401155Z",
-     "shell.execute_reply": "2024-05-29T16:53:03.400507Z"
+     "iopub.execute_input": "2024-06-03T13:32:45.914843Z",
+     "iopub.status.busy": "2024-06-03T13:32:45.914617Z",
+     "iopub.status.idle": "2024-06-03T13:32:45.919690Z",
+     "shell.execute_reply": "2024-06-03T13:32:45.919135Z"
     }
    },
    "outputs": [
@@ -257,10 +257,10 @@
    "id": "99bef123",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:03.403875Z",
-     "iopub.status.busy": "2024-05-29T16:53:03.403471Z",
-     "iopub.status.idle": "2024-05-29T16:53:03.409766Z",
-     "shell.execute_reply": "2024-05-29T16:53:03.409153Z"
+     "iopub.execute_input": "2024-06-03T13:32:45.921994Z",
+     "iopub.status.busy": "2024-06-03T13:32:45.921790Z",
+     "iopub.status.idle": "2024-06-03T13:32:45.928060Z",
+     "shell.execute_reply": "2024-06-03T13:32:45.927402Z"
     }
    },
    "outputs": [],
@@ -296,10 +296,10 @@
    "id": "abeee650",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:03.412389Z",
-     "iopub.status.busy": "2024-05-29T16:53:03.411990Z",
-     "iopub.status.idle": "2024-05-29T16:53:03.416642Z",
-     "shell.execute_reply": "2024-05-29T16:53:03.416048Z"
+     "iopub.execute_input": "2024-06-03T13:32:45.930804Z",
+     "iopub.status.busy": "2024-06-03T13:32:45.930186Z",
+     "iopub.status.idle": "2024-06-03T13:32:45.934653Z",
+     "shell.execute_reply": "2024-06-03T13:32:45.934145Z"
     }
    },
    "outputs": [
@@ -325,10 +325,10 @@
    "id": "aaef5b3d",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:03.419033Z",
-     "iopub.status.busy": "2024-05-29T16:53:03.418826Z",
-     "iopub.status.idle": "2024-05-29T16:53:03.651779Z",
-     "shell.execute_reply": "2024-05-29T16:53:03.651087Z"
+     "iopub.execute_input": "2024-06-03T13:32:45.937101Z",
+     "iopub.status.busy": "2024-06-03T13:32:45.936716Z",
+     "iopub.status.idle": "2024-06-03T13:32:46.166482Z",
+     "shell.execute_reply": "2024-06-03T13:32:46.165797Z"
     }
    },
    "outputs": [
@@ -354,10 +354,10 @@
    "id": "975a3ca9",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:03.654621Z",
-     "iopub.status.busy": "2024-05-29T16:53:03.654241Z",
-     "iopub.status.idle": "2024-05-29T16:53:03.820066Z",
-     "shell.execute_reply": "2024-05-29T16:53:03.819320Z"
+     "iopub.execute_input": "2024-06-03T13:32:46.169071Z",
+     "iopub.status.busy": "2024-06-03T13:32:46.168840Z",
+     "iopub.status.idle": "2024-06-03T13:32:46.335249Z",
+     "shell.execute_reply": "2024-06-03T13:32:46.334514Z"
     }
    },
    "outputs": [
@@ -391,10 +391,10 @@
    "id": "459dcee8",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:03.823238Z",
-     "iopub.status.busy": "2024-05-29T16:53:03.822583Z",
-     "iopub.status.idle": "2024-05-29T16:53:03.885926Z",
-     "shell.execute_reply": "2024-05-29T16:53:03.885148Z"
+     "iopub.execute_input": "2024-06-03T13:32:46.337972Z",
+     "iopub.status.busy": "2024-06-03T13:32:46.337737Z",
+     "iopub.status.idle": "2024-06-03T13:32:46.401558Z",
+     "shell.execute_reply": "2024-06-03T13:32:46.400880Z"
     }
    },
    "outputs": [],
@@ -412,10 +412,10 @@
    "id": "dc9fe287",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:03.889698Z",
-     "iopub.status.busy": "2024-05-29T16:53:03.889076Z",
-     "iopub.status.idle": "2024-05-29T16:53:04.721966Z",
-     "shell.execute_reply": "2024-05-29T16:53:04.721187Z"
+     "iopub.execute_input": "2024-06-03T13:32:46.404731Z",
+     "iopub.status.busy": "2024-06-03T13:32:46.404273Z",
+     "iopub.status.idle": "2024-06-03T13:32:47.261476Z",
+     "shell.execute_reply": "2024-06-03T13:32:47.260822Z"
     }
    },
    "outputs": [],
@@ -433,10 +433,10 @@
    "id": "e317a998",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:04.725970Z",
-     "iopub.status.busy": "2024-05-29T16:53:04.725429Z",
-     "iopub.status.idle": "2024-05-29T16:53:07.371255Z",
-     "shell.execute_reply": "2024-05-29T16:53:07.370629Z"
+     "iopub.execute_input": "2024-06-03T13:32:47.265506Z",
+     "iopub.status.busy": "2024-06-03T13:32:47.264974Z",
+     "iopub.status.idle": "2024-06-03T13:32:49.841404Z",
+     "shell.execute_reply": "2024-06-03T13:32:49.840635Z"
     }
    },
    "outputs": [],
@@ -455,10 +455,10 @@
    "id": "5ae568ca",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:07.374144Z",
-     "iopub.status.busy": "2024-05-29T16:53:07.373902Z",
-     "iopub.status.idle": "2024-05-29T16:53:07.384267Z",
-     "shell.execute_reply": "2024-05-29T16:53:07.383663Z"
+     "iopub.execute_input": "2024-06-03T13:32:49.844776Z",
+     "iopub.status.busy": "2024-06-03T13:32:49.844304Z",
+     "iopub.status.idle": "2024-06-03T13:32:49.854989Z",
+     "shell.execute_reply": "2024-06-03T13:32:49.854361Z"
     }
    },
    "outputs": [
@@ -466,10 +466,10 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Reconstructed expectation value: 1.54897046\n",
+      "Reconstructed expectation value: 1.57090008\n",
       "Exact expectation value: 1.59099026\n",
-      "Error in estimation: -0.0420198\n",
-      "Relative error in estimation: -0.0264111\n"
+      "Error in estimation: -0.02009018\n",
+      "Relative error in estimation: -0.01262747\n"
      ]
     }
    ],
diff --git a/circuit_cutting/tutorials/01_gate_cutting_to_reduce_circuit_width.html b/circuit_cutting/tutorials/01_gate_cutting_to_reduce_circuit_width.html
index f14dce898..5253a0eec 100644
--- a/circuit_cutting/tutorials/01_gate_cutting_to_reduce_circuit_width.html
+++ b/circuit_cutting/tutorials/01_gate_cutting_to_reduce_circuit_width.html
@@ -508,11 +508,10 @@ <h2>Run the subexperiments using the Qiskit Runtime Sampler primitive<a class="h
 </div>
 <div class="input_area highlight-ipython3 notranslate"><div class="highlight"><pre><span></span><span class="kn">from</span> <span class="nn">qiskit_ibm_runtime</span> <span class="kn">import</span> <span class="n">SamplerV2</span><span class="p">,</span> <span class="n">Batch</span>
 
-<span class="c1"># Set up the Qiskit Runtime Sampler primitive</span>
-<span class="n">sampler</span> <span class="o">=</span> <span class="n">SamplerV2</span><span class="p">(</span><span class="n">backend</span><span class="o">=</span><span class="n">backend</span><span class="p">)</span>
-
-<span class="c1"># Submit each partition&#39;s subexperiments as a single batch</span>
-<span class="k">with</span> <span class="n">Batch</span><span class="p">(</span><span class="n">backend</span><span class="o">=</span><span class="n">backend</span><span class="p">):</span>
+<span class="c1"># Submit each partition&#39;s subexperiments to the Qiskit Runtime Sampler</span>
+<span class="c1"># primitive, in a single batch so that the jobs will run back-to-back.</span>
+<span class="k">with</span> <span class="n">Batch</span><span class="p">(</span><span class="n">backend</span><span class="o">=</span><span class="n">backend</span><span class="p">)</span> <span class="k">as</span> <span class="n">batch</span><span class="p">:</span>
+    <span class="n">sampler</span> <span class="o">=</span> <span class="n">SamplerV2</span><span class="p">(</span><span class="n">session</span><span class="o">=</span><span class="n">batch</span><span class="p">)</span>
     <span class="n">jobs</span> <span class="o">=</span> <span class="p">{</span>
         <span class="n">label</span><span class="p">:</span> <span class="n">sampler</span><span class="o">.</span><span class="n">run</span><span class="p">(</span><span class="n">subsystem_subexpts</span><span class="p">,</span> <span class="n">shots</span><span class="o">=</span><span class="mi">2</span><span class="o">**</span><span class="mi">12</span><span class="p">)</span>
         <span class="k">for</span> <span class="n">label</span><span class="p">,</span> <span class="n">subsystem_subexpts</span> <span class="ow">in</span> <span class="n">isa_subexperiments</span><span class="o">.</span><span class="n">items</span><span class="p">()</span>
@@ -585,10 +584,10 @@ <h2>Compare the reconstructed expectation values with the exact expectation valu
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-Reconstructed expectation value: 0.68161559
+Reconstructed expectation value: 0.69702762
 Exact expectation value: 0.56254612
-Error in estimation: 0.11906947
-Relative error in estimation: 0.2116617
+Error in estimation: 0.1344815
+Relative error in estimation: 0.23905862
 </pre></div></div>
 </div>
 </section>
diff --git a/circuit_cutting/tutorials/01_gate_cutting_to_reduce_circuit_width.ipynb b/circuit_cutting/tutorials/01_gate_cutting_to_reduce_circuit_width.ipynb
index f42f5ebd7..b958b66a5 100644
--- a/circuit_cutting/tutorials/01_gate_cutting_to_reduce_circuit_width.ipynb
+++ b/circuit_cutting/tutorials/01_gate_cutting_to_reduce_circuit_width.ipynb
@@ -30,10 +30,10 @@
    "id": "96f5b72a",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:09.363210Z",
-     "iopub.status.busy": "2024-05-29T16:53:09.363004Z",
-     "iopub.status.idle": "2024-05-29T16:53:10.365481Z",
-     "shell.execute_reply": "2024-05-29T16:53:10.364671Z"
+     "iopub.execute_input": "2024-06-03T13:32:52.009777Z",
+     "iopub.status.busy": "2024-06-03T13:32:52.009569Z",
+     "iopub.status.idle": "2024-06-03T13:32:53.049372Z",
+     "shell.execute_reply": "2024-06-03T13:32:53.048635Z"
     }
    },
    "outputs": [
@@ -72,10 +72,10 @@
    "id": "f75e8dd1",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:10.368468Z",
-     "iopub.status.busy": "2024-05-29T16:53:10.367990Z",
-     "iopub.status.idle": "2024-05-29T16:53:10.371991Z",
-     "shell.execute_reply": "2024-05-29T16:53:10.371435Z"
+     "iopub.execute_input": "2024-06-03T13:32:53.052256Z",
+     "iopub.status.busy": "2024-06-03T13:32:53.051946Z",
+     "iopub.status.idle": "2024-06-03T13:32:53.056230Z",
+     "shell.execute_reply": "2024-06-03T13:32:53.055629Z"
     }
    },
    "outputs": [],
@@ -103,10 +103,10 @@
    "id": "30326299",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:10.374369Z",
-     "iopub.status.busy": "2024-05-29T16:53:10.374162Z",
-     "iopub.status.idle": "2024-05-29T16:53:10.404340Z",
-     "shell.execute_reply": "2024-05-29T16:53:10.403760Z"
+     "iopub.execute_input": "2024-06-03T13:32:53.058793Z",
+     "iopub.status.busy": "2024-06-03T13:32:53.058361Z",
+     "iopub.status.idle": "2024-06-03T13:32:53.089786Z",
+     "shell.execute_reply": "2024-06-03T13:32:53.089199Z"
     }
    },
    "outputs": [],
@@ -135,10 +135,10 @@
    "id": "6b54be63",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:10.407351Z",
-     "iopub.status.busy": "2024-05-29T16:53:10.407124Z",
-     "iopub.status.idle": "2024-05-29T16:53:10.411943Z",
-     "shell.execute_reply": "2024-05-29T16:53:10.411255Z"
+     "iopub.execute_input": "2024-06-03T13:32:53.092859Z",
+     "iopub.status.busy": "2024-06-03T13:32:53.092399Z",
+     "iopub.status.idle": "2024-06-03T13:32:53.097369Z",
+     "shell.execute_reply": "2024-06-03T13:32:53.096719Z"
     }
    },
    "outputs": [
@@ -164,10 +164,10 @@
    "id": "b7e06fac",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:10.414550Z",
-     "iopub.status.busy": "2024-05-29T16:53:10.414177Z",
-     "iopub.status.idle": "2024-05-29T16:53:10.582240Z",
-     "shell.execute_reply": "2024-05-29T16:53:10.581499Z"
+     "iopub.execute_input": "2024-06-03T13:32:53.100048Z",
+     "iopub.status.busy": "2024-06-03T13:32:53.099521Z",
+     "iopub.status.idle": "2024-06-03T13:32:53.270371Z",
+     "shell.execute_reply": "2024-06-03T13:32:53.269677Z"
     }
    },
    "outputs": [
@@ -193,10 +193,10 @@
    "id": "11e45e83",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:10.584885Z",
-     "iopub.status.busy": "2024-05-29T16:53:10.584641Z",
-     "iopub.status.idle": "2024-05-29T16:53:10.798105Z",
-     "shell.execute_reply": "2024-05-29T16:53:10.797414Z"
+     "iopub.execute_input": "2024-06-03T13:32:53.273264Z",
+     "iopub.status.busy": "2024-06-03T13:32:53.272782Z",
+     "iopub.status.idle": "2024-06-03T13:32:53.475166Z",
+     "shell.execute_reply": "2024-06-03T13:32:53.474344Z"
     }
    },
    "outputs": [
@@ -241,10 +241,10 @@
    "id": "3d606ef8",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:10.800725Z",
-     "iopub.status.busy": "2024-05-29T16:53:10.800494Z",
-     "iopub.status.idle": "2024-05-29T16:53:10.804420Z",
-     "shell.execute_reply": "2024-05-29T16:53:10.803754Z"
+     "iopub.execute_input": "2024-06-03T13:32:53.478113Z",
+     "iopub.status.busy": "2024-06-03T13:32:53.477646Z",
+     "iopub.status.idle": "2024-06-03T13:32:53.481690Z",
+     "shell.execute_reply": "2024-06-03T13:32:53.481009Z"
     }
    },
    "outputs": [
@@ -280,10 +280,10 @@
    "id": "2029d18e-0e91-4160-b8c9-02cb9e1ba3cb",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:10.806955Z",
-     "iopub.status.busy": "2024-05-29T16:53:10.806746Z",
-     "iopub.status.idle": "2024-05-29T16:53:10.884665Z",
-     "shell.execute_reply": "2024-05-29T16:53:10.884003Z"
+     "iopub.execute_input": "2024-06-03T13:32:53.484494Z",
+     "iopub.status.busy": "2024-06-03T13:32:53.484074Z",
+     "iopub.status.idle": "2024-06-03T13:32:53.563441Z",
+     "shell.execute_reply": "2024-06-03T13:32:53.562771Z"
     }
    },
    "outputs": [],
@@ -311,10 +311,10 @@
    "id": "36c89aa0-70aa-4615-8198-77ec85e8aa93",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:10.887786Z",
-     "iopub.status.busy": "2024-05-29T16:53:10.887548Z",
-     "iopub.status.idle": "2024-05-29T16:53:11.424443Z",
-     "shell.execute_reply": "2024-05-29T16:53:11.423706Z"
+     "iopub.execute_input": "2024-06-03T13:32:53.566707Z",
+     "iopub.status.busy": "2024-06-03T13:32:53.566220Z",
+     "iopub.status.idle": "2024-06-03T13:32:54.120467Z",
+     "shell.execute_reply": "2024-06-03T13:32:54.119792Z"
     }
    },
    "outputs": [],
@@ -340,10 +340,10 @@
    "id": "184e0f36-1279-48a3-aab7-b7603bb71f66",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:11.427803Z",
-     "iopub.status.busy": "2024-05-29T16:53:11.427477Z",
-     "iopub.status.idle": "2024-05-29T16:53:13.871436Z",
-     "shell.execute_reply": "2024-05-29T16:53:13.870632Z"
+     "iopub.execute_input": "2024-06-03T13:32:54.123963Z",
+     "iopub.status.busy": "2024-06-03T13:32:54.123370Z",
+     "iopub.status.idle": "2024-06-03T13:32:56.611967Z",
+     "shell.execute_reply": "2024-06-03T13:32:56.611165Z"
     }
    },
    "outputs": [],
@@ -372,10 +372,10 @@
    "id": "2dbb8148-0482-4a66-8316-335125f8a2b3",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:13.874805Z",
-     "iopub.status.busy": "2024-05-29T16:53:13.874369Z",
-     "iopub.status.idle": "2024-05-29T16:53:14.201845Z",
-     "shell.execute_reply": "2024-05-29T16:53:14.186925Z"
+     "iopub.execute_input": "2024-06-03T13:32:56.615644Z",
+     "iopub.status.busy": "2024-06-03T13:32:56.615013Z",
+     "iopub.status.idle": "2024-06-03T13:32:56.939617Z",
+     "shell.execute_reply": "2024-06-03T13:32:56.929317Z"
     }
    },
    "outputs": [
@@ -391,11 +391,10 @@
    "source": [
     "from qiskit_ibm_runtime import SamplerV2, Batch\n",
     "\n",
-    "# Set up the Qiskit Runtime Sampler primitive\n",
-    "sampler = SamplerV2(backend=backend)\n",
-    "\n",
-    "# Submit each partition's subexperiments as a single batch\n",
-    "with Batch(backend=backend):\n",
+    "# Submit each partition's subexperiments to the Qiskit Runtime Sampler\n",
+    "# primitive, in a single batch so that the jobs will run back-to-back.\n",
+    "with Batch(backend=backend) as batch:\n",
+    "    sampler = SamplerV2(session=batch)\n",
     "    jobs = {\n",
     "        label: sampler.run(subsystem_subexpts, shots=2**12)\n",
     "        for label, subsystem_subexpts in isa_subexperiments.items()\n",
@@ -408,10 +407,10 @@
    "id": "64cef60b-5130-467e-8e01-7460d78560ed",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:14.240307Z",
-     "iopub.status.busy": "2024-05-29T16:53:14.228669Z",
-     "iopub.status.idle": "2024-05-29T16:53:23.089250Z",
-     "shell.execute_reply": "2024-05-29T16:53:23.088520Z"
+     "iopub.execute_input": "2024-06-03T13:32:56.988115Z",
+     "iopub.status.busy": "2024-06-03T13:32:56.977218Z",
+     "iopub.status.idle": "2024-06-03T13:33:06.040820Z",
+     "shell.execute_reply": "2024-06-03T13:33:06.040064Z"
     }
    },
    "outputs": [],
@@ -436,10 +435,10 @@
    "id": "7d57339c",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:23.092611Z",
-     "iopub.status.busy": "2024-05-29T16:53:23.092363Z",
-     "iopub.status.idle": "2024-05-29T16:53:26.039058Z",
-     "shell.execute_reply": "2024-05-29T16:53:26.038377Z"
+     "iopub.execute_input": "2024-06-03T13:33:06.044441Z",
+     "iopub.status.busy": "2024-06-03T13:33:06.044193Z",
+     "iopub.status.idle": "2024-06-03T13:33:09.020543Z",
+     "shell.execute_reply": "2024-06-03T13:33:09.019839Z"
     }
    },
    "outputs": [],
@@ -471,10 +470,10 @@
    "id": "e3385ba5",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:26.042042Z",
-     "iopub.status.busy": "2024-05-29T16:53:26.041799Z",
-     "iopub.status.idle": "2024-05-29T16:53:26.054933Z",
-     "shell.execute_reply": "2024-05-29T16:53:26.054265Z"
+     "iopub.execute_input": "2024-06-03T13:33:09.023558Z",
+     "iopub.status.busy": "2024-06-03T13:33:09.023273Z",
+     "iopub.status.idle": "2024-06-03T13:33:09.036308Z",
+     "shell.execute_reply": "2024-06-03T13:33:09.035636Z"
     }
    },
    "outputs": [
@@ -482,10 +481,10 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Reconstructed expectation value: 0.68161559\n",
+      "Reconstructed expectation value: 0.69702762\n",
       "Exact expectation value: 0.56254612\n",
-      "Error in estimation: 0.11906947\n",
-      "Relative error in estimation: 0.2116617\n"
+      "Error in estimation: 0.1344815\n",
+      "Relative error in estimation: 0.23905862\n"
      ]
     }
    ],
diff --git a/circuit_cutting/tutorials/02_gate_cutting_to_reduce_circuit_depth.html b/circuit_cutting/tutorials/02_gate_cutting_to_reduce_circuit_depth.html
index 3f151fe2c..247d91146 100644
--- a/circuit_cutting/tutorials/02_gate_cutting_to_reduce_circuit_depth.html
+++ b/circuit_cutting/tutorials/02_gate_cutting_to_reduce_circuit_depth.html
@@ -594,10 +594,10 @@ <h2>Compare the reconstructed expectation values with the exact expectation valu
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-Reconstructed expectation value: 0.73120117
+Reconstructed expectation value: 0.64086914
 Exact expectation value: 0.50497603
-Error in estimation: 0.22622514
-Relative error in estimation: 0.44799184
+Error in estimation: 0.13589311
+Relative error in estimation: 0.26910804
 </pre></div></div>
 </div>
 </section>
diff --git a/circuit_cutting/tutorials/02_gate_cutting_to_reduce_circuit_depth.ipynb b/circuit_cutting/tutorials/02_gate_cutting_to_reduce_circuit_depth.ipynb
index cc02faa15..68624ae7b 100644
--- a/circuit_cutting/tutorials/02_gate_cutting_to_reduce_circuit_depth.ipynb
+++ b/circuit_cutting/tutorials/02_gate_cutting_to_reduce_circuit_depth.ipynb
@@ -30,10 +30,10 @@
    "id": "54ed0f13",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:28.305992Z",
-     "iopub.status.busy": "2024-05-29T16:53:28.305780Z",
-     "iopub.status.idle": "2024-05-29T16:53:29.382101Z",
-     "shell.execute_reply": "2024-05-29T16:53:29.381342Z"
+     "iopub.execute_input": "2024-06-03T13:33:11.596740Z",
+     "iopub.status.busy": "2024-06-03T13:33:11.596532Z",
+     "iopub.status.idle": "2024-06-03T13:33:12.675822Z",
+     "shell.execute_reply": "2024-06-03T13:33:12.674977Z"
     }
    },
    "outputs": [
@@ -71,10 +71,10 @@
    "id": "105e858d",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:29.385007Z",
-     "iopub.status.busy": "2024-05-29T16:53:29.384696Z",
-     "iopub.status.idle": "2024-05-29T16:53:29.388760Z",
-     "shell.execute_reply": "2024-05-29T16:53:29.388212Z"
+     "iopub.execute_input": "2024-06-03T13:33:12.679123Z",
+     "iopub.status.busy": "2024-06-03T13:33:12.678353Z",
+     "iopub.status.idle": "2024-06-03T13:33:12.683236Z",
+     "shell.execute_reply": "2024-06-03T13:33:12.682467Z"
     }
    },
    "outputs": [],
@@ -100,10 +100,10 @@
    "id": "756f2130-6947-479a-9fe7-97443c87a904",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:29.391525Z",
-     "iopub.status.busy": "2024-05-29T16:53:29.391073Z",
-     "iopub.status.idle": "2024-05-29T16:53:29.916289Z",
-     "shell.execute_reply": "2024-05-29T16:53:29.915687Z"
+     "iopub.execute_input": "2024-06-03T13:33:12.686112Z",
+     "iopub.status.busy": "2024-06-03T13:33:12.685680Z",
+     "iopub.status.idle": "2024-06-03T13:33:13.232914Z",
+     "shell.execute_reply": "2024-06-03T13:33:13.232264Z"
     }
    },
    "outputs": [],
@@ -129,10 +129,10 @@
    "id": "b394da7a",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:29.919494Z",
-     "iopub.status.busy": "2024-05-29T16:53:29.919175Z",
-     "iopub.status.idle": "2024-05-29T16:53:29.953946Z",
-     "shell.execute_reply": "2024-05-29T16:53:29.953273Z"
+     "iopub.execute_input": "2024-06-03T13:33:13.236165Z",
+     "iopub.status.busy": "2024-06-03T13:33:13.235831Z",
+     "iopub.status.idle": "2024-06-03T13:33:13.275847Z",
+     "shell.execute_reply": "2024-06-03T13:33:13.275099Z"
     }
    },
    "outputs": [
@@ -161,10 +161,10 @@
    "id": "4fe4af43",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:29.956530Z",
-     "iopub.status.busy": "2024-05-29T16:53:29.956138Z",
-     "iopub.status.idle": "2024-05-29T16:53:30.684077Z",
-     "shell.execute_reply": "2024-05-29T16:53:30.683355Z"
+     "iopub.execute_input": "2024-06-03T13:33:13.278658Z",
+     "iopub.status.busy": "2024-06-03T13:33:13.278149Z",
+     "iopub.status.idle": "2024-06-03T13:33:14.032352Z",
+     "shell.execute_reply": "2024-06-03T13:33:14.031614Z"
     }
    },
    "outputs": [
@@ -200,10 +200,10 @@
    "id": "12e73c69",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:30.687138Z",
-     "iopub.status.busy": "2024-05-29T16:53:30.686636Z",
-     "iopub.status.idle": "2024-05-29T16:53:31.007055Z",
-     "shell.execute_reply": "2024-05-29T16:53:31.006306Z"
+     "iopub.execute_input": "2024-06-03T13:33:14.035456Z",
+     "iopub.status.busy": "2024-06-03T13:33:14.034892Z",
+     "iopub.status.idle": "2024-06-03T13:33:14.353638Z",
+     "shell.execute_reply": "2024-06-03T13:33:14.352912Z"
     }
    },
    "outputs": [
@@ -255,10 +255,10 @@
    "id": "83b1efed-bafa-48c4-bbf0-cf7eb9027ac5",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:31.010164Z",
-     "iopub.status.busy": "2024-05-29T16:53:31.009675Z",
-     "iopub.status.idle": "2024-05-29T16:53:31.687797Z",
-     "shell.execute_reply": "2024-05-29T16:53:31.687130Z"
+     "iopub.execute_input": "2024-06-03T13:33:14.356590Z",
+     "iopub.status.busy": "2024-06-03T13:33:14.356085Z",
+     "iopub.status.idle": "2024-06-03T13:33:15.041972Z",
+     "shell.execute_reply": "2024-06-03T13:33:15.041215Z"
     }
    },
    "outputs": [],
@@ -290,10 +290,10 @@
    "id": "c7b28e2c",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:31.690906Z",
-     "iopub.status.busy": "2024-05-29T16:53:31.690447Z",
-     "iopub.status.idle": "2024-05-29T16:53:31.694550Z",
-     "shell.execute_reply": "2024-05-29T16:53:31.693892Z"
+     "iopub.execute_input": "2024-06-03T13:33:15.045010Z",
+     "iopub.status.busy": "2024-06-03T13:33:15.044764Z",
+     "iopub.status.idle": "2024-06-03T13:33:15.048610Z",
+     "shell.execute_reply": "2024-06-03T13:33:15.047987Z"
     }
    },
    "outputs": [
@@ -325,10 +325,10 @@
    "id": "70e2f1b6",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:31.697179Z",
-     "iopub.status.busy": "2024-05-29T16:53:31.696762Z",
-     "iopub.status.idle": "2024-05-29T16:53:32.183501Z",
-     "shell.execute_reply": "2024-05-29T16:53:32.182712Z"
+     "iopub.execute_input": "2024-06-03T13:33:15.051264Z",
+     "iopub.status.busy": "2024-06-03T13:33:15.050846Z",
+     "iopub.status.idle": "2024-06-03T13:33:15.548603Z",
+     "shell.execute_reply": "2024-06-03T13:33:15.547883Z"
     }
    },
    "outputs": [
@@ -379,10 +379,10 @@
    "id": "16968c09-13f0-499b-91d0-91b58f1ce6eb",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:32.186541Z",
-     "iopub.status.busy": "2024-05-29T16:53:32.186077Z",
-     "iopub.status.idle": "2024-05-29T16:53:40.995280Z",
-     "shell.execute_reply": "2024-05-29T16:53:40.993903Z"
+     "iopub.execute_input": "2024-06-03T13:33:15.551403Z",
+     "iopub.status.busy": "2024-06-03T13:33:15.550912Z",
+     "iopub.status.idle": "2024-06-03T13:33:24.411020Z",
+     "shell.execute_reply": "2024-06-03T13:33:24.409844Z"
     }
    },
    "outputs": [],
@@ -405,10 +405,10 @@
    "id": "a83922bc-0489-4ee5-a2b6-796103aae9bb",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:53:40.999996Z",
-     "iopub.status.busy": "2024-05-29T16:53:40.999364Z",
-     "iopub.status.idle": "2024-05-29T16:54:05.877181Z",
-     "shell.execute_reply": "2024-05-29T16:54:05.876480Z"
+     "iopub.execute_input": "2024-06-03T13:33:24.415276Z",
+     "iopub.status.busy": "2024-06-03T13:33:24.414791Z",
+     "iopub.status.idle": "2024-06-03T13:33:47.323189Z",
+     "shell.execute_reply": "2024-06-03T13:33:47.322455Z"
     }
    },
    "outputs": [],
@@ -433,10 +433,10 @@
    "id": "ace12f7f",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:54:05.881367Z",
-     "iopub.status.busy": "2024-05-29T16:54:05.881080Z",
-     "iopub.status.idle": "2024-05-29T16:54:08.202733Z",
-     "shell.execute_reply": "2024-05-29T16:54:08.202106Z"
+     "iopub.execute_input": "2024-06-03T13:33:47.326909Z",
+     "iopub.status.busy": "2024-06-03T13:33:47.326667Z",
+     "iopub.status.idle": "2024-06-03T13:33:49.673828Z",
+     "shell.execute_reply": "2024-06-03T13:33:49.673160Z"
     }
    },
    "outputs": [],
@@ -466,10 +466,10 @@
    "id": "4928e703",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:54:08.205840Z",
-     "iopub.status.busy": "2024-05-29T16:54:08.205584Z",
-     "iopub.status.idle": "2024-05-29T16:54:08.219025Z",
-     "shell.execute_reply": "2024-05-29T16:54:08.218417Z"
+     "iopub.execute_input": "2024-06-03T13:33:49.676877Z",
+     "iopub.status.busy": "2024-06-03T13:33:49.676639Z",
+     "iopub.status.idle": "2024-06-03T13:33:49.689682Z",
+     "shell.execute_reply": "2024-06-03T13:33:49.689090Z"
     }
    },
    "outputs": [
@@ -477,10 +477,10 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Reconstructed expectation value: 0.73120117\n",
+      "Reconstructed expectation value: 0.64086914\n",
       "Exact expectation value: 0.50497603\n",
-      "Error in estimation: 0.22622514\n",
-      "Relative error in estimation: 0.44799184\n"
+      "Error in estimation: 0.13589311\n",
+      "Relative error in estimation: 0.26910804\n"
      ]
     }
    ],
diff --git a/circuit_cutting/tutorials/03_wire_cutting_via_move_instruction.html b/circuit_cutting/tutorials/03_wire_cutting_via_move_instruction.html
index 0636596d0..d12bf4d4c 100644
--- a/circuit_cutting/tutorials/03_wire_cutting_via_move_instruction.html
+++ b/circuit_cutting/tutorials/03_wire_cutting_via_move_instruction.html
@@ -348,7 +348,7 @@ <h2>Create a circuit to cut<a class="headerlink" href="#Create-a-circuit-to-cut"
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-&lt;qiskit.circuit.instructionset.InstructionSet at 0x7f3210fdab50&gt;
+&lt;qiskit.circuit.instructionset.InstructionSet at 0x7fe1746c0880&gt;
 </pre></div></div>
 </div>
 <div class="nbinput docutils container">
@@ -584,11 +584,10 @@ <h2>Run the subexperiments using the Qiskit Runtime Sampler primitive<a class="h
 </div>
 <div class="input_area highlight-ipython3 notranslate"><div class="highlight"><pre><span></span><span class="kn">from</span> <span class="nn">qiskit_ibm_runtime</span> <span class="kn">import</span> <span class="n">SamplerV2</span><span class="p">,</span> <span class="n">Batch</span>
 
-<span class="c1"># Set up the Qiskit Runtime Sampler primitive</span>
-<span class="n">sampler</span> <span class="o">=</span> <span class="n">SamplerV2</span><span class="p">(</span><span class="n">backend</span><span class="o">=</span><span class="n">backend</span><span class="p">)</span>
-
-<span class="c1"># Submit each partition&#39;s subexperiments as a single batch</span>
-<span class="k">with</span> <span class="n">Batch</span><span class="p">(</span><span class="n">backend</span><span class="o">=</span><span class="n">backend</span><span class="p">):</span>
+<span class="c1"># Submit each partition&#39;s subexperiments to the Qiskit Runtime Sampler</span>
+<span class="c1"># primitive, in a single batch so that the jobs will run back-to-back.</span>
+<span class="k">with</span> <span class="n">Batch</span><span class="p">(</span><span class="n">backend</span><span class="o">=</span><span class="n">backend</span><span class="p">)</span> <span class="k">as</span> <span class="n">batch</span><span class="p">:</span>
+    <span class="n">sampler</span> <span class="o">=</span> <span class="n">SamplerV2</span><span class="p">(</span><span class="n">session</span><span class="o">=</span><span class="n">batch</span><span class="p">)</span>
     <span class="n">jobs</span> <span class="o">=</span> <span class="p">{</span>
         <span class="n">label</span><span class="p">:</span> <span class="n">sampler</span><span class="o">.</span><span class="n">run</span><span class="p">(</span><span class="n">subsystem_subexpts</span><span class="p">,</span> <span class="n">shots</span><span class="o">=</span><span class="mi">2</span><span class="o">**</span><span class="mi">12</span><span class="p">)</span>
         <span class="k">for</span> <span class="n">label</span><span class="p">,</span> <span class="n">subsystem_subexpts</span> <span class="ow">in</span> <span class="n">isa_subexperiments</span><span class="o">.</span><span class="n">items</span><span class="p">()</span>
@@ -658,10 +657,10 @@ <h2>Compare the reconstructed expectation values with the exact expectation valu
 </div>
 <div class="output_area docutils container">
 <div class="highlight"><pre>
-Reconstructed expectation value: 1.56147528
+Reconstructed expectation value: 1.54485381
 Exact expectation value: 1.59099026
-Error in estimation: -0.02951498
-Relative error in estimation: -0.01855133
+Error in estimation: -0.04613645
+Relative error in estimation: -0.02899858
 </pre></div></div>
 </div>
 </section>
diff --git a/circuit_cutting/tutorials/03_wire_cutting_via_move_instruction.ipynb b/circuit_cutting/tutorials/03_wire_cutting_via_move_instruction.ipynb
index 6275a59f4..e547d148e 100644
--- a/circuit_cutting/tutorials/03_wire_cutting_via_move_instruction.ipynb
+++ b/circuit_cutting/tutorials/03_wire_cutting_via_move_instruction.ipynb
@@ -32,17 +32,17 @@
    "id": "3bcae0ed-4308-4686-b85c-8595c6e916bc",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:34.850206Z",
-     "iopub.status.busy": "2024-05-29T16:52:34.849923Z",
-     "iopub.status.idle": "2024-05-29T16:52:35.362329Z",
-     "shell.execute_reply": "2024-05-29T16:52:35.361468Z"
+     "iopub.execute_input": "2024-06-03T13:32:16.751254Z",
+     "iopub.status.busy": "2024-06-03T13:32:16.750915Z",
+     "iopub.status.idle": "2024-06-03T13:32:17.202208Z",
+     "shell.execute_reply": "2024-06-03T13:32:17.201378Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<qiskit.circuit.instructionset.InstructionSet at 0x7f3210fdab50>"
+       "<qiskit.circuit.instructionset.InstructionSet at 0x7fe1746c0880>"
       ]
      },
      "execution_count": 1,
@@ -74,10 +74,10 @@
    "id": "1dcaff2d-2d1b-4cc0-87d1-0f4f5de823ff",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:35.365424Z",
-     "iopub.status.busy": "2024-05-29T16:52:35.364822Z",
-     "iopub.status.idle": "2024-05-29T16:52:36.074403Z",
-     "shell.execute_reply": "2024-05-29T16:52:36.073594Z"
+     "iopub.execute_input": "2024-06-03T13:32:17.205405Z",
+     "iopub.status.busy": "2024-06-03T13:32:17.204820Z",
+     "iopub.status.idle": "2024-06-03T13:32:17.929835Z",
+     "shell.execute_reply": "2024-06-03T13:32:17.928937Z"
     }
    },
    "outputs": [
@@ -111,10 +111,10 @@
    "id": "b791aa42-c485-453b-a110-3c790194adaf",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:36.077539Z",
-     "iopub.status.busy": "2024-05-29T16:52:36.076986Z",
-     "iopub.status.idle": "2024-05-29T16:52:36.081006Z",
-     "shell.execute_reply": "2024-05-29T16:52:36.080288Z"
+     "iopub.execute_input": "2024-06-03T13:32:17.932670Z",
+     "iopub.status.busy": "2024-06-03T13:32:17.932395Z",
+     "iopub.status.idle": "2024-06-03T13:32:17.936304Z",
+     "shell.execute_reply": "2024-06-03T13:32:17.935588Z"
     }
    },
    "outputs": [],
@@ -144,10 +144,10 @@
    "id": "22f19d29-a182-4758-b5d0-6b66f9a946be",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:36.083889Z",
-     "iopub.status.busy": "2024-05-29T16:52:36.083656Z",
-     "iopub.status.idle": "2024-05-29T16:52:36.438580Z",
-     "shell.execute_reply": "2024-05-29T16:52:36.437701Z"
+     "iopub.execute_input": "2024-06-03T13:32:17.939329Z",
+     "iopub.status.busy": "2024-06-03T13:32:17.938609Z",
+     "iopub.status.idle": "2024-06-03T13:32:18.288569Z",
+     "shell.execute_reply": "2024-06-03T13:32:18.287730Z"
     }
    },
    "outputs": [
@@ -200,10 +200,10 @@
    "id": "d33d5580-879f-466f-ac87-dcc6a19fbab6",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:36.441543Z",
-     "iopub.status.busy": "2024-05-29T16:52:36.441047Z",
-     "iopub.status.idle": "2024-05-29T16:52:36.444980Z",
-     "shell.execute_reply": "2024-05-29T16:52:36.444281Z"
+     "iopub.execute_input": "2024-06-03T13:32:18.291755Z",
+     "iopub.status.busy": "2024-06-03T13:32:18.291164Z",
+     "iopub.status.idle": "2024-06-03T13:32:18.295424Z",
+     "shell.execute_reply": "2024-06-03T13:32:18.294758Z"
     }
    },
    "outputs": [],
@@ -227,10 +227,10 @@
    "id": "fc3738c7-2bb2-4d67-ae2b-7a3090b31e6a",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:36.448013Z",
-     "iopub.status.busy": "2024-05-29T16:52:36.447413Z",
-     "iopub.status.idle": "2024-05-29T16:52:36.462045Z",
-     "shell.execute_reply": "2024-05-29T16:52:36.461285Z"
+     "iopub.execute_input": "2024-06-03T13:32:18.298031Z",
+     "iopub.status.busy": "2024-06-03T13:32:18.297642Z",
+     "iopub.status.idle": "2024-06-03T13:32:18.307849Z",
+     "shell.execute_reply": "2024-06-03T13:32:18.307176Z"
     }
    },
    "outputs": [],
@@ -259,10 +259,10 @@
    "id": "9c53a862-f762-471a-bda7-b27e88292ac9",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:36.465102Z",
-     "iopub.status.busy": "2024-05-29T16:52:36.464523Z",
-     "iopub.status.idle": "2024-05-29T16:52:36.470397Z",
-     "shell.execute_reply": "2024-05-29T16:52:36.469714Z"
+     "iopub.execute_input": "2024-06-03T13:32:18.310710Z",
+     "iopub.status.busy": "2024-06-03T13:32:18.310147Z",
+     "iopub.status.idle": "2024-06-03T13:32:18.315761Z",
+     "shell.execute_reply": "2024-06-03T13:32:18.315082Z"
     }
    },
    "outputs": [
@@ -288,10 +288,10 @@
    "id": "69df912e-6709-45bb-8eb3-c66a70edefdc",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:36.473215Z",
-     "iopub.status.busy": "2024-05-29T16:52:36.472727Z",
-     "iopub.status.idle": "2024-05-29T16:52:36.746236Z",
-     "shell.execute_reply": "2024-05-29T16:52:36.745363Z"
+     "iopub.execute_input": "2024-06-03T13:32:18.318803Z",
+     "iopub.status.busy": "2024-06-03T13:32:18.318601Z",
+     "iopub.status.idle": "2024-06-03T13:32:18.593155Z",
+     "shell.execute_reply": "2024-06-03T13:32:18.592360Z"
     }
    },
    "outputs": [
@@ -317,10 +317,10 @@
    "id": "d851adcb-e524-48c8-8adc-0d1606613c8d",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:36.749341Z",
-     "iopub.status.busy": "2024-05-29T16:52:36.749020Z",
-     "iopub.status.idle": "2024-05-29T16:52:36.923820Z",
-     "shell.execute_reply": "2024-05-29T16:52:36.922969Z"
+     "iopub.execute_input": "2024-06-03T13:32:18.596845Z",
+     "iopub.status.busy": "2024-06-03T13:32:18.596526Z",
+     "iopub.status.idle": "2024-06-03T13:32:18.810454Z",
+     "shell.execute_reply": "2024-06-03T13:32:18.809769Z"
     }
    },
    "outputs": [
@@ -358,10 +358,10 @@
    "id": "7af74c54-3e68-4d58-a2e6-02bc212d911d",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:36.928776Z",
-     "iopub.status.busy": "2024-05-29T16:52:36.928506Z",
-     "iopub.status.idle": "2024-05-29T16:52:36.933017Z",
-     "shell.execute_reply": "2024-05-29T16:52:36.932282Z"
+     "iopub.execute_input": "2024-06-03T13:32:18.813842Z",
+     "iopub.status.busy": "2024-06-03T13:32:18.813622Z",
+     "iopub.status.idle": "2024-06-03T13:32:18.817386Z",
+     "shell.execute_reply": "2024-06-03T13:32:18.816726Z"
     }
    },
    "outputs": [
@@ -395,10 +395,10 @@
    "id": "d28a8b82-8405-47b2-8142-62d56266409a",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:36.938193Z",
-     "iopub.status.busy": "2024-05-29T16:52:36.937780Z",
-     "iopub.status.idle": "2024-05-29T16:52:37.005512Z",
-     "shell.execute_reply": "2024-05-29T16:52:37.004742Z"
+     "iopub.execute_input": "2024-06-03T13:32:18.821459Z",
+     "iopub.status.busy": "2024-06-03T13:32:18.820965Z",
+     "iopub.status.idle": "2024-06-03T13:32:18.883326Z",
+     "shell.execute_reply": "2024-06-03T13:32:18.882512Z"
     }
    },
    "outputs": [],
@@ -426,10 +426,10 @@
    "id": "6944546f-e3e0-4863-9049-9feed1086e68",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:37.009051Z",
-     "iopub.status.busy": "2024-05-29T16:52:37.008840Z",
-     "iopub.status.idle": "2024-05-29T16:52:37.638074Z",
-     "shell.execute_reply": "2024-05-29T16:52:37.637373Z"
+     "iopub.execute_input": "2024-06-03T13:32:18.886278Z",
+     "iopub.status.busy": "2024-06-03T13:32:18.886052Z",
+     "iopub.status.idle": "2024-06-03T13:32:19.449681Z",
+     "shell.execute_reply": "2024-06-03T13:32:19.448886Z"
     }
    },
    "outputs": [],
@@ -455,10 +455,10 @@
    "id": "0229e6f2-a637-481d-ac76-84dfaadc264f",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:37.650550Z",
-     "iopub.status.busy": "2024-05-29T16:52:37.649964Z",
-     "iopub.status.idle": "2024-05-29T16:52:40.699194Z",
-     "shell.execute_reply": "2024-05-29T16:52:40.698343Z"
+     "iopub.execute_input": "2024-06-03T13:32:19.452994Z",
+     "iopub.status.busy": "2024-06-03T13:32:19.452440Z",
+     "iopub.status.idle": "2024-06-03T13:32:22.301317Z",
+     "shell.execute_reply": "2024-06-03T13:32:22.300526Z"
     }
    },
    "outputs": [],
@@ -487,10 +487,10 @@
    "id": "bdf3bd2f-e10a-4148-a7ad-f354492614cc",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:40.702559Z",
-     "iopub.status.busy": "2024-05-29T16:52:40.702110Z",
-     "iopub.status.idle": "2024-05-29T16:52:41.019293Z",
-     "shell.execute_reply": "2024-05-29T16:52:40.980383Z"
+     "iopub.execute_input": "2024-06-03T13:32:22.305332Z",
+     "iopub.status.busy": "2024-06-03T13:32:22.304798Z",
+     "iopub.status.idle": "2024-06-03T13:32:22.615552Z",
+     "shell.execute_reply": "2024-06-03T13:32:22.605329Z"
     }
    },
    "outputs": [
@@ -506,11 +506,10 @@
    "source": [
     "from qiskit_ibm_runtime import SamplerV2, Batch\n",
     "\n",
-    "# Set up the Qiskit Runtime Sampler primitive\n",
-    "sampler = SamplerV2(backend=backend)\n",
-    "\n",
-    "# Submit each partition's subexperiments as a single batch\n",
-    "with Batch(backend=backend):\n",
+    "# Submit each partition's subexperiments to the Qiskit Runtime Sampler\n",
+    "# primitive, in a single batch so that the jobs will run back-to-back.\n",
+    "with Batch(backend=backend) as batch:\n",
+    "    sampler = SamplerV2(session=batch)\n",
     "    jobs = {\n",
     "        label: sampler.run(subsystem_subexpts, shots=2**12)\n",
     "        for label, subsystem_subexpts in isa_subexperiments.items()\n",
@@ -523,10 +522,10 @@
    "id": "abb436de-9662-4c47-92b1-659ee0334adc",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:41.038856Z",
-     "iopub.status.busy": "2024-05-29T16:52:41.038393Z",
-     "iopub.status.idle": "2024-05-29T16:52:51.466764Z",
-     "shell.execute_reply": "2024-05-29T16:52:51.466091Z"
+     "iopub.execute_input": "2024-06-03T13:32:22.656806Z",
+     "iopub.status.busy": "2024-06-03T13:32:22.655224Z",
+     "iopub.status.idle": "2024-06-03T13:32:32.750545Z",
+     "shell.execute_reply": "2024-06-03T13:32:32.749843Z"
     }
    },
    "outputs": [],
@@ -551,10 +550,10 @@
    "id": "a1904c54-27fa-45e0-a9dd-727b4542db71",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:51.470326Z",
-     "iopub.status.busy": "2024-05-29T16:52:51.469737Z",
-     "iopub.status.idle": "2024-05-29T16:52:54.191599Z",
-     "shell.execute_reply": "2024-05-29T16:52:54.190856Z"
+     "iopub.execute_input": "2024-06-03T13:32:32.753956Z",
+     "iopub.status.busy": "2024-06-03T13:32:32.753730Z",
+     "iopub.status.idle": "2024-06-03T13:32:35.403913Z",
+     "shell.execute_reply": "2024-06-03T13:32:35.403224Z"
     }
    },
    "outputs": [],
@@ -583,10 +582,10 @@
    "id": "6e3d63e4-a510-4712-bc43-48df6e2f7ded",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:54.195056Z",
-     "iopub.status.busy": "2024-05-29T16:52:54.194514Z",
-     "iopub.status.idle": "2024-05-29T16:52:54.209202Z",
-     "shell.execute_reply": "2024-05-29T16:52:54.208465Z"
+     "iopub.execute_input": "2024-06-03T13:32:35.406926Z",
+     "iopub.status.busy": "2024-06-03T13:32:35.406457Z",
+     "iopub.status.idle": "2024-06-03T13:32:35.421143Z",
+     "shell.execute_reply": "2024-06-03T13:32:35.420511Z"
     }
    },
    "outputs": [
@@ -594,10 +593,10 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Reconstructed expectation value: 1.56147528\n",
+      "Reconstructed expectation value: 1.54485381\n",
       "Exact expectation value: 1.59099026\n",
-      "Error in estimation: -0.02951498\n",
-      "Relative error in estimation: -0.01855133\n"
+      "Error in estimation: -0.04613645\n",
+      "Relative error in estimation: -0.02899858\n"
      ]
     }
    ],
diff --git a/circuit_cutting/tutorials/04_automatic_cut_finding.ipynb b/circuit_cutting/tutorials/04_automatic_cut_finding.ipynb
index dbe5124b7..8e1a9f6e4 100644
--- a/circuit_cutting/tutorials/04_automatic_cut_finding.ipynb
+++ b/circuit_cutting/tutorials/04_automatic_cut_finding.ipynb
@@ -19,10 +19,10 @@
    "execution_count": 1,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:57.281925Z",
-     "iopub.status.busy": "2024-05-29T16:52:57.281513Z",
-     "iopub.status.idle": "2024-05-29T16:52:58.504099Z",
-     "shell.execute_reply": "2024-05-29T16:52:58.503221Z"
+     "iopub.execute_input": "2024-06-03T13:32:38.299864Z",
+     "iopub.status.busy": "2024-06-03T13:32:38.299160Z",
+     "iopub.status.idle": "2024-06-03T13:32:39.535564Z",
+     "shell.execute_reply": "2024-06-03T13:32:39.534688Z"
     }
    },
    "outputs": [
@@ -62,10 +62,10 @@
    "execution_count": 2,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:58.507746Z",
-     "iopub.status.busy": "2024-05-29T16:52:58.507439Z",
-     "iopub.status.idle": "2024-05-29T16:52:58.968507Z",
-     "shell.execute_reply": "2024-05-29T16:52:58.967729Z"
+     "iopub.execute_input": "2024-06-03T13:32:39.538829Z",
+     "iopub.status.busy": "2024-06-03T13:32:39.538211Z",
+     "iopub.status.idle": "2024-06-03T13:32:40.001930Z",
+     "shell.execute_reply": "2024-06-03T13:32:40.000956Z"
     }
    },
    "outputs": [
@@ -125,10 +125,10 @@
    "execution_count": 3,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:58.972270Z",
-     "iopub.status.busy": "2024-05-29T16:52:58.971927Z",
-     "iopub.status.idle": "2024-05-29T16:52:59.358923Z",
-     "shell.execute_reply": "2024-05-29T16:52:59.358040Z"
+     "iopub.execute_input": "2024-06-03T13:32:40.005657Z",
+     "iopub.status.busy": "2024-06-03T13:32:40.005424Z",
+     "iopub.status.idle": "2024-06-03T13:32:40.344208Z",
+     "shell.execute_reply": "2024-06-03T13:32:40.343471Z"
     }
    },
    "outputs": [
@@ -164,10 +164,10 @@
    "execution_count": 4,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:59.362295Z",
-     "iopub.status.busy": "2024-05-29T16:52:59.361722Z",
-     "iopub.status.idle": "2024-05-29T16:52:59.375500Z",
-     "shell.execute_reply": "2024-05-29T16:52:59.374736Z"
+     "iopub.execute_input": "2024-06-03T13:32:40.347137Z",
+     "iopub.status.busy": "2024-06-03T13:32:40.346687Z",
+     "iopub.status.idle": "2024-06-03T13:32:40.358001Z",
+     "shell.execute_reply": "2024-06-03T13:32:40.357389Z"
     }
    },
    "outputs": [
@@ -197,10 +197,10 @@
    "execution_count": 5,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:59.378332Z",
-     "iopub.status.busy": "2024-05-29T16:52:59.377828Z",
-     "iopub.status.idle": "2024-05-29T16:52:59.384549Z",
-     "shell.execute_reply": "2024-05-29T16:52:59.383920Z"
+     "iopub.execute_input": "2024-06-03T13:32:40.360508Z",
+     "iopub.status.busy": "2024-06-03T13:32:40.360154Z",
+     "iopub.status.idle": "2024-06-03T13:32:40.364790Z",
+     "shell.execute_reply": "2024-06-03T13:32:40.364238Z"
     }
    },
    "outputs": [
@@ -225,10 +225,10 @@
    "execution_count": 6,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:59.387957Z",
-     "iopub.status.busy": "2024-05-29T16:52:59.387435Z",
-     "iopub.status.idle": "2024-05-29T16:52:59.634661Z",
-     "shell.execute_reply": "2024-05-29T16:52:59.633816Z"
+     "iopub.execute_input": "2024-06-03T13:32:40.367201Z",
+     "iopub.status.busy": "2024-06-03T13:32:40.366976Z",
+     "iopub.status.idle": "2024-06-03T13:32:40.611862Z",
+     "shell.execute_reply": "2024-06-03T13:32:40.610883Z"
     }
    },
    "outputs": [
@@ -253,10 +253,10 @@
    "execution_count": 7,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:59.638289Z",
-     "iopub.status.busy": "2024-05-29T16:52:59.637999Z",
-     "iopub.status.idle": "2024-05-29T16:52:59.867443Z",
-     "shell.execute_reply": "2024-05-29T16:52:59.866629Z"
+     "iopub.execute_input": "2024-06-03T13:32:40.615412Z",
+     "iopub.status.busy": "2024-06-03T13:32:40.614758Z",
+     "iopub.status.idle": "2024-06-03T13:32:40.916804Z",
+     "shell.execute_reply": "2024-06-03T13:32:40.915975Z"
     }
    },
    "outputs": [
@@ -288,10 +288,10 @@
    "execution_count": 8,
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-29T16:52:59.870481Z",
-     "iopub.status.busy": "2024-05-29T16:52:59.870229Z",
-     "iopub.status.idle": "2024-05-29T16:52:59.938550Z",
-     "shell.execute_reply": "2024-05-29T16:52:59.937829Z"
+     "iopub.execute_input": "2024-06-03T13:32:40.919833Z",
+     "iopub.status.busy": "2024-06-03T13:32:40.919571Z",
+     "iopub.status.idle": "2024-06-03T13:32:40.976833Z",
+     "shell.execute_reply": "2024-06-03T13:32:40.975917Z"
     }
    },
    "outputs": [
diff --git a/plot_directive/circuit_cutting/explanation/index-1.svg b/plot_directive/circuit_cutting/explanation/index-1.svg
index 937425c37..6b1d1d8ea 100644
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index 46c7fc754..d4a885675 100644
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67], "wire_cut": [4, 5, 18, 25, 26, 28], "wire_cutting_evalu": 29, "wire_cutting_post_process": [24, 27], "wire_cutting_verif": [4, 5, 30], "wise": [59, 60], "wish": [8, 9, 17, 18], "within": [6, 16, 33, 43], "without": [6, 18], "woerner": 16, "work": [4, 5, 11, 13, 17, 18, 35], "workaround": 18, "workflow": [4, 5, 6, 9, 18], "worst": 52, "worth": 6, "would": [6, 8, 13, 18], "wrap": [9, 18, 23], "written": [6, 62], "www": [4, 5], "x": [4, 6, 8, 12, 18, 35, 47, 65], "x86": 17, "x86_venv": 17, "x_i": [55, 56, 57, 58], "xi": 11, "xixi": [11, 12], "xxminusyyg": 6, "xxplusyyg": 6, "y": [4, 6], "y_i": [55, 56, 57, 58], "yaml": 17, "year": 16, "yet": [6, 17, 18], "you": [4, 5, 6, 8, 12, 16, 17, 18], "your": [16, 17, 18], "z": [4, 6], "zenodo": 16, "zero": [8, 49], "zgate": 6, "zhang": 6, "zi": 11, "ziii": [9, 13, 14], "ziiii": 9, "ziiiiii": [9, 13, 14], "ziiiiiii": 13, "ziiiiiiii": 9, "zizz": [11, 12], "zx": 61, "zz": [6, 7, 11], "zzii": [11, 12], "zzxx": 61, "zzzz": 8}, "titles": ["Circuit Cutting", "Circuit Knitting Toolbox API References", "Utilities", "CutQC (legacy circuit cutting implementation)", "CutQC Tutorial 1: Circuit Cutting with Automatic Cut Finding", "CutQC Tutorial 2: Circuit Cutting with Manual Wire Cutting", "Explanatory material for the circuit cutting module", "How to generate exact quasiprobability distributions from Sampler", "How to generate exact sampling coefficients", "How to place wire cuts using a single-qubit <code class=\"docutils literal notranslate\"><span class=\"pre\">CutWire</span></code> instruction", "Circuit Cutting How-To Guides", "Gate Cutting to Reduce Circuit Width", "Gate Cutting to Reduce Circuit Depth", "Wire Cutting Phrased as a Two-Qubit <code class=\"docutils literal notranslate\"><span class=\"pre\">Move</span></code> Instruction", "Automatically find cuts using CKT", "Circuit Cutting Tutorials", "Circuit Knitting Toolbox", "Installation Instructions", "Release Notes", "circuit_knitting.cutting.DeviceConstraints", "circuit_knitting.cutting.OptimizationParameters", "circuit_knitting.cutting.PartitionedCuttingProblem", "circuit_knitting.cutting.cut_gates", "circuit_knitting.cutting.cut_wires", "circuit_knitting.cutting.cutqc.build", "circuit_knitting.cutting.cutqc.cut_circuit_wires", "circuit_knitting.cutting.cutqc.evaluate_subcircuits", "circuit_knitting.cutting.cutqc.generate_summation_terms", "circuit_knitting.cutting.cutqc.reconstruct_full_distribution", "circuit_knitting.cutting.cutqc.run_subcircuit_instances", "circuit_knitting.cutting.cutqc.verify", "circuit_knitting.cutting.expand_observables", "circuit_knitting.cutting.find_cuts", "circuit_knitting.cutting.generate_cutting_experiments", "circuit_knitting.cutting.instructions.CutWire", "circuit_knitting.cutting.instructions.Move", "circuit_knitting.cutting.partition_circuit_qubits", "circuit_knitting.cutting.partition_problem", "circuit_knitting.cutting.qpd.BaseQPDGate", "circuit_knitting.cutting.qpd.QPDBasis", 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\ No newline at end of file
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12, 13, 16, 17, 18], "With": [6, 18], "_": 65, "__init__": [59, 60, 62, 66, 67], "_i": 6, "_min_nonzero": 8, "_run_subcircuit": 28, "a_1": 6, "a_2": 6, "a_3": 6, "a_4": 6, "a_5": 6, "a_6": 6, "a_i": 6, "aaaabbbb": 13, "aabb": [8, 11], "ab": [6, 7], "abba": 65, "abc": 53, "abl": [9, 13, 18], "about": [4, 5, 16, 23, 29], "abov": [4, 5, 6, 8, 13, 44, 54, 62], "absolut": [4, 5, 6, 8, 44, 55], "abstract": 6, "abstractli": 6, "accept": [11, 12, 13], "access": [4, 5, 17, 18, 43], "accord": [16, 31, 43, 65], "account": [4, 13], "achiev": 8, "acquir": 17, "across": 17, "act": [6, 22, 32, 36, 37, 38, 41], "activ": 17, "actual": [6, 9, 54, 55, 56, 57, 58], "ad": [6, 9, 13, 18], "adapt": 18, "add": [18, 27], "addit": [6, 9, 13, 18], "addition": 18, "adjust": 17, "aer": [18, 62], "affect": 36, "aforement": 35, "after": [6, 31], "again": 6, "against": [4, 5], "agata": 16, "al": [4, 5, 50], "albeit": 18, "algorithm": [18, 32], "all": [4, 6, 10, 17, 18, 23, 27, 29, 36, 37, 43, 45, 49, 52, 62, 63], "alloc": [9, 13, 23], "allow": [4, 5, 6, 13, 17, 18, 25, 33], "almudena": 16, "along": [9, 37, 63], "alreadi": 18, "also": [4, 6, 12, 18, 33, 45], "alter": [4, 5], "altern": [4, 5, 13], "alwai": [18, 33], "ambigu": 6, "amend": [4, 5], "amount": 6, "an": [4, 16, 17, 18, 34, 37, 38, 39, 43, 46, 54], "ancillari": 4, "angl": 6, "ani": [4, 5, 6, 8, 9, 11, 12, 13, 18, 25, 26, 27, 29, 37, 39], "anoth": [12, 13, 35], "anywher": 62, "apach": [4, 5], "api": [6, 16, 18], "appear": [4, 5], "append": [9, 13, 33, 35], "appendix": [6, 23], "appl": 17, "appli": [11, 12, 43], "applic": [6, 18], "appropri": [17, 18, 31, 52], "approx": 6, "ar": [4, 5, 6, 9, 11, 12, 13, 16, 17, 18, 25, 31, 32, 33, 37, 43, 44, 45, 46, 52, 55, 56, 58, 60, 63], "arbitrari": 18, "arbitrarili": 12, "architectur": 12, "arg": [11, 13, 17, 66, 67], "argument": [4, 5, 6, 18, 25, 46], "arm": 17, "around": 18, "arrai": [2, 33, 48, 51, 54, 55, 56, 57, 58], "arxiv": [3, 6, 9, 13, 18], "asc": [4, 5], "ascend": 18, "assign": [38, 39, 40, 60], "assign_paramet": [4, 8, 11, 12], "associ": [6, 18, 33, 42, 46], "assum": 18, "attribut": [19, 20, 21, 34, 35, 38, 39, 40, 41, 42, 59, 60, 62, 64, 66, 67], "attributeerror": 18, "author": 16, "autom": [3, 4, 5, 18, 24, 25, 26, 27, 28, 29, 30], "automat": [3, 5, 9, 13, 15, 16, 17, 18, 25, 37, 60], "automated_cut_find": [14, 18], "avail": [6, 14, 16, 17, 18, 35], "avoid": [6, 18], "awai": 18, "b": [8, 11, 13, 65], "baac": 65, "back": [11, 13], "backend": [4, 5, 6, 18, 26, 29], "backend_nam": [4, 5, 26, 29], "backjump": 18, "backward": 18, "base": [4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 19, 20, 21, 34, 35, 37, 38, 39, 40, 41, 42, 43, 64], "baseqpdg": [6, 18, 32, 40, 41, 43], "basesampl": [7, 18], "basesamplerv2": 18, "basi": [6, 11, 12, 13, 14, 18, 38, 39, 40, 41, 44], "basic": [4, 5, 6], "basis_id": [38, 40, 41], "batch": [6, 11, 13], "becaus": [4, 6, 9], "becom": 13, "been": [4, 5, 6, 9, 12, 18, 35], "befor": [11, 13, 17, 18, 22, 36, 46], "begin": 13, "behavior": [18, 32], "being": 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17, 62], "combin": [4, 6, 8, 11, 12, 13], "come": 18, "command": 17, "common": [11, 13, 17, 43, 56], "commun": 6, "commut": [9, 59, 60], "commuting_observ": 59, "commutingobservablegroup": 60, "compar": [2, 30], "comparison": [4, 5, 52], "compat": [18, 31], "compil": 17, "complete_path_map": [4, 27], "compon": [17, 65], "compos": 17, "compris": [4, 5, 43], "comput": [4, 5, 6, 24, 51, 54, 55, 56, 57, 58], "conceptu": 13, "conda": 17, "conda_subdir": 17, "condit": 18, "conduct": 2, "configur": [4, 5, 17], "connect": [9, 18, 26, 37], "consecut": [11, 12, 13, 18, 37, 65], "consid": 6, "consist": 6, "consolid": 66, "consolidatereset": 18, "constraint": [6, 19, 32], "construct": [6, 52], "consult": 17, "contain": [5, 6, 9, 10, 12, 16, 17, 18, 22, 24, 25, 26, 27, 29, 30, 32, 33, 35, 36, 37, 43, 46, 48, 63, 65], "container": 17, "continu": 6, "contrast": [13, 52], "contribut": [6, 16, 44, 46], "control": [6, 11, 12, 13, 20, 32, 44], "conveni": 9, "convent": 6, "convers": 45, "convert": [2, 6, 48, 49, 50, 51], "copi": [4, 5, 17, 22, 36, 52, 53], "copyright": [4, 5], "core": [4, 5], "correctli": 13, "correl": 57, "correspond": [4, 6, 11, 13, 31, 33, 35, 37, 43, 44, 46, 64], "cost": [4, 6, 17], "could": [4, 5, 40], "count": [6, 47], "counter": 4, "coupl": 18, "cphaseg": [6, 18], "cplex": [17, 18], "creat": [17, 18, 21, 34, 35, 64], "creg": 43, "criteria": 4, "cross": [4, 5, 58], "crxgate": [6, 18], "crygat": [6, 18], "crzgate": [6, 18], "csdggate": [6, 18], "csgate": [6, 18], "csxgate": [6, 18], "current": [16, 18, 32, 62], "cut": [1, 7, 17, 18], "cut_circuit": 14, "cut_circuit_wir": [4, 5], "cut_gat": [12, 18], "cut_id": 32, "cut_indic": 12, "cut_typ": 32, "cut_wir": [6, 9, 13, 14], "cutqc": [16, 17, 18], "cutter": [4, 5], "cutting_decomposit": 18, "cutting_evalu": 18, "cutting_execut": 18, "cutting_experi": 18, "cutting_reconstruct": 18, "cutwir": [6, 10, 13, 16, 23], "cx": [5, 7, 9, 13, 65], "cxgate": [6, 8], "cygat": [6, 18], "czgate": 6, "czyk": 16, "d": [16, 17], "dag": [25, 27], "dagger": 6, "daniel": 16, "data": [4, 5, 9, 11, 12, 13, 32], "david": 6, "dcxgate": [6, 18], "decompos": [6, 8, 12, 16, 18, 21, 22, 25, 37, 38, 39, 40, 41, 43, 45], "decompose_g": 18, "decompose_qpd_instruct": 18, "decomposit": [8, 11, 12, 16, 18, 38, 40, 41, 43, 44], "decreas": 15, "deep": 56, "deeper": [12, 18], "def": 8, "default": [4, 5, 18, 62], "defin": [6, 39, 50, 54, 55, 57, 58], "definit": 18, "demonstr": [9, 18, 35], "denot": [6, 22, 34, 36, 37, 46], "depend": [6, 17, 18], "deprec": [3, 4, 5, 16, 24, 25, 26, 27, 28, 29, 30, 48, 49, 50, 51, 54, 55, 56, 57, 58], "deprecationwarn": [4, 5], "depth": [6, 15, 16], "deriv": [4, 5], "describ": [3, 6, 11, 12, 13, 18, 32, 39, 40], "deseri": 18, "design": 31, "desin": 35, "desir": [6, 18, 35], "destin": [13, 35, 37], "detail": [4, 6, 13, 16, 18], "determin": [8, 9, 17, 18, 37], "detin": 13, "dev": 17, "develop": 17, "devic": [4, 5, 32], "device_constraint": 14, "deviceconstraint": [14, 32], "dharmashankar": 16, "dict": [4, 5, 21, 24, 25, 26, 27, 28, 29, 30, 32, 33, 44, 46, 52, 55, 56, 58, 62, 63, 64], "dict_kei": [4, 65], "dictionari": [4, 11, 13, 18, 25, 26, 29, 32, 33, 37, 46, 48, 57], "did": 31, "differ": [6, 17, 23, 30, 31, 37, 43, 55, 58], "dijkstra": [18, 32], "direct": [6, 18], "directli": [13, 18], "directori": [4, 5, 17], "discard": [6, 13], "disconnect": [6, 65], "discuss": 16, "disregard": 6, "dist": 49, "distanc": [2, 56, 57], "distant": 6, "distribut": [2, 4, 5, 6, 8, 10, 11, 12, 13, 16, 18, 24, 30, 33, 43, 44, 48, 49, 50, 51, 58], "distribution_dict": 48, "do": [4, 6, 7, 13, 17, 18, 46, 62], "doc": [11, 13, 17], "docker": 16, "dockerfil": 17, "docplex": 18, "document": [4, 5, 6, 16, 18], "doe": [9, 13, 16, 18, 25, 36, 37, 43, 49, 65], "doi": 16, "done": 9, "dot": [9, 11, 12, 13], "draw": [4, 5, 8, 9, 11, 12, 13, 14, 33, 35], "driver": 18, "due": [6, 17, 18], "duplic": 66, "dure": [6, 11, 12], "dynam": 18, "e": [4, 6, 11, 13, 17, 18, 27, 35, 45], "e4a04564eb39": 17, "each": [4, 5, 6, 8, 9, 11, 12, 13, 16, 17, 18, 22, 25, 26, 28, 29, 32, 33, 35, 36, 37, 39, 43, 44, 46, 60, 61, 62, 63, 64, 65], "earlier": [16, 18], "easi": 18, "ecrgat": [6, 18], "edwin": 16, "effect": [6, 13, 18, 35], "effici": [4, 6, 60], "efficientsu2": [4, 8, 11, 12], "egger": 16, "eigenst": [4, 5], "either": [5, 6, 12, 17, 44, 51], "electronicstructureproblem": 18, "element": [6, 18, 27, 43, 44, 46, 52, 64], "emul": 17, "enabl": [6, 18], "encourag": [17, 18], "end": [6, 65], "engin": [6, 18], "enhanc": 18, "enough": [4, 5], "ensur": [6, 18, 35], "entangl": [4, 8, 11, 12, 13, 16, 18, 35], "entanglement_forg": 18, "entanglementforginggroundstatesolv": 18, "entanglementforgingresult": 18, "enter": 17, "entir": 6, "entri": 27, "entropi": [4, 5, 58], "enum": 42, "enumer": [4, 5, 12], "environ": 17, "epsilon": 6, "eq": 6, "equal": [6, 18, 36, 37, 41, 43, 46, 52, 64, 65], "equat": 6, "equival": [6, 8, 9, 13], "error": [4, 5, 6, 9, 11, 12, 13, 18, 55, 56], "essenti": 6, "estim": [6, 9, 11, 12, 13], "estimatorv2": [9, 11, 12, 13], "et": [4, 5, 50], "ev": [9, 11, 12, 13], "evalu": [6, 8, 12, 18, 26, 28, 30, 33, 44], "evaluate_subcircuit": [4, 5], "even": 18, "everi": [18, 23, 33, 46], "everyth": 17, "evolv": 16, "exact": [4, 5, 9, 10, 16, 18, 30, 44, 62], "exact_dict_bitstr": [4, 5], "exact_distribut": [4, 5], "exact_expv": [9, 11, 12, 13], "exact_prob": [4, 5], "exact_sampl": 7, "exactli": [4, 5, 6, 18, 44], "exactsampl": [7, 10], "exampl": [4, 5, 8, 12, 13, 16, 18, 54, 55, 56, 57, 58], "except": [55, 56, 57, 58], "execut": [4, 5, 6, 11, 12, 13, 16, 18, 24, 29, 30, 48, 52], "execute_experi": 18, "exist": [6, 13, 16, 31], "exp": 6, "expand": [6, 18, 31], "expand_observ": [9, 14], "expect": [4, 5, 6, 8, 18, 33, 35, 46], "experi": [4, 5, 6, 11, 16, 18, 33, 46, 54], "explain": [6, 18], "explan": 18, "explanatori": [11, 12, 13, 16, 18], "explicit": [6, 18], "explicitli": [6, 9, 18, 37], "exponenti": [6, 18], "extens": [16, 17, 18], "extra": 13, "extran": 18, "f": [6, 8, 9, 11, 12, 13, 14], "f401": 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[4, 5, 18, 25, 26, 28], "wire_cutting_evalu": 29, "wire_cutting_post_process": [24, 27], "wire_cutting_verif": [4, 5, 30], "wise": [59, 60], "wish": [8, 9, 17, 18], "within": [6, 16, 33, 43], "without": [6, 18], "woerner": 16, "work": [4, 5, 11, 13, 17, 18, 35], "workaround": 18, "workflow": [4, 5, 6, 9, 18], "worst": 52, "worth": 6, "would": [6, 8, 13, 18], "wrap": [9, 18, 23], "written": [6, 62], "www": [4, 5], "x": [4, 6, 8, 12, 18, 35, 47, 65], "x86": 17, "x86_venv": 17, "x_i": [55, 56, 57, 58], "xi": 11, "xixi": [11, 12], "xxminusyyg": 6, "xxplusyyg": 6, "y": [4, 6], "y_i": [55, 56, 57, 58], "yaml": 17, "year": 16, "yet": [6, 17, 18], "you": [4, 5, 6, 8, 12, 16, 17, 18], "your": [16, 17, 18], "z": [4, 6], "zenodo": 16, "zero": [8, 49], "zgate": 6, "zhang": 6, "zi": 11, "ziii": [9, 13, 14], "ziiii": 9, "ziiiiii": [9, 13, 14], "ziiiiiii": 13, "ziiiiiiii": 9, "zizz": [11, 12], "zx": 61, "zz": [6, 7, 11], "zzii": [11, 12], "zzxx": 61, "zzzz": 8}, "titles": ["Circuit Cutting", "Circuit Knitting Toolbox API References", "Utilities", "CutQC (legacy circuit cutting implementation)", "CutQC Tutorial 1: Circuit Cutting with Automatic Cut Finding", "CutQC Tutorial 2: Circuit Cutting with Manual Wire Cutting", "Explanatory material for the circuit cutting module", "How to generate exact quasiprobability distributions from Sampler", "How to generate exact sampling coefficients", "How to place wire cuts using a single-qubit <code class=\"docutils literal notranslate\"><span class=\"pre\">CutWire</span></code> instruction", "Circuit Cutting How-To Guides", "Gate Cutting to Reduce Circuit Width", "Gate Cutting to Reduce Circuit Depth", "Wire Cutting Phrased as a Two-Qubit <code class=\"docutils literal notranslate\"><span class=\"pre\">Move</span></code> Instruction", "Automatically find cuts using CKT", "Circuit Cutting Tutorials", "Circuit Knitting Toolbox", "Installation Instructions", "Release Notes", "circuit_knitting.cutting.DeviceConstraints", "circuit_knitting.cutting.OptimizationParameters", "circuit_knitting.cutting.PartitionedCuttingProblem", "circuit_knitting.cutting.cut_gates", "circuit_knitting.cutting.cut_wires", "circuit_knitting.cutting.cutqc.build", "circuit_knitting.cutting.cutqc.cut_circuit_wires", "circuit_knitting.cutting.cutqc.evaluate_subcircuits", "circuit_knitting.cutting.cutqc.generate_summation_terms", "circuit_knitting.cutting.cutqc.reconstruct_full_distribution", "circuit_knitting.cutting.cutqc.run_subcircuit_instances", "circuit_knitting.cutting.cutqc.verify", "circuit_knitting.cutting.expand_observables", "circuit_knitting.cutting.find_cuts", "circuit_knitting.cutting.generate_cutting_experiments", "circuit_knitting.cutting.instructions.CutWire", "circuit_knitting.cutting.instructions.Move", "circuit_knitting.cutting.partition_circuit_qubits", "circuit_knitting.cutting.partition_problem", "circuit_knitting.cutting.qpd.BaseQPDGate", "circuit_knitting.cutting.qpd.QPDBasis", 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"circuit_knitting.utils.observable_grouping.CommutingObservableGroup", "circuit_knitting.utils.observable_grouping.ObservableCollection", "circuit_knitting.utils.observable_grouping.observables_restricted_to_subsystem", "circuit_knitting.utils.simulation.ExactSampler", "circuit_knitting.utils.simulation.simulate_statevector_outcomes", "circuit_knitting.utils.transforms.SeparatedCircuits", "circuit_knitting.utils.transforms.separate_circuit", "circuit_knitting.utils.transpiler_passes.ConsolidateResets", "circuit_knitting.utils.transpiler_passes.RemoveFinalReset"], "titleterms": {"0": 18, "1": [4, 17, 18], "2": [5, 8, 17, 18], "3": [17, 18], "4": [14, 18], "5": 18, "6": 18, "7": 18, "To": 10, "accord": 11, "account": [9, 14], "add": 14, "after": 12, "against": 9, "all": 8, "an": [6, 9, 11, 12, 13], "ancilla": 14, "api": 1, "ar": 8, "automat": [0, 4, 14], "backend": [11, 12, 13, 14], "baseqpdg": 38, "been": 13, "bit_count": 47, "bitwis": [2, 47], "bug": 18, "build": 24, "calcul": [11, 12, 13, 14], "can": 14, "chi2_dist": 57, "choos": [11, 13], "chosen": [11, 12, 13], "circuit": [0, 1, 3, 4, 5, 6, 9, 10, 11, 12, 13, 14, 15, 16], "circuit_knit": [2, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67], "cite": 16, "ckt": [6, 14], "cnot": 8, "coeffici": 8, "commutingobservablegroup": 59, "compar": [9, 11, 12, 13], "consolidatereset": 66, "content": 16, "convers": [2, 48, 49, 50, 51], "creat": [4, 5, 11, 12, 13, 14], "cross_entropi": 58, "crzgate": 14, "current": 6, "cut": [0, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46], "cut_circuit_wir": 25, "cut_gat": 22, "cut_wir": 23, "cutqc": [0, 3, 4, 5, 24, 25, 26, 27, 28, 29, 30], "cutwir": [9, 34], "decompos": [4, 5, 9, 11, 13], "decompose_qpd_instruct": 43, "decomposit": [0, 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41, 42, 43, 44, 45], "qpdbasi": 39, "qpdbasis_from_instruct": 45, "quantum": [4, 5], "quasi": 0, "quasi_to_r": 51, "quasiprob": [6, 7], "qubit": [6, 9, 11, 13, 14], "reconstruct": [4, 5, 9, 11, 12, 13], "reconstruct_expectation_valu": 46, "reconstruct_full_distribut": 28, "recov": 9, "reduc": [11, 12], "refer": [1, 6, 16], "releas": 18, "removefinalreset": 67, "replac": 12, "result": [4, 5], "retriev": 8, "return": 8, "run": [9, 11, 12, 13, 14], "run_subcircuit_inst": 29, "runtim": [11, 12, 13], "rzzgate": 6, "sampl": [6, 8, 11, 12, 13, 14], "sampler": [7, 11, 12, 13], "separ": [9, 11, 13, 14], "separate_circuit": 65, "separatedcircuit": 64, "shallow": 12, "simul": [2, 62, 63], "simulate_statevector_outcom": 63, "singl": [9, 14], "singlequbitqpdg": 40, "sourc": 17, "specifi": [9, 11, 12, 13], "subcircuit": [4, 5, 14], "subexperi": [11, 12, 13], "subobserv": 14, "support": 17, "swap": 12, "tabl": 6, "term": [6, 9], "them": 12, "thi": [14, 16], "toolbox": [1, 16], "transform": [2, 9, 64, 65], "transpil": [2, 12], "transpiler_pass": [2, 66, 67], "tutori": [3, 4, 5, 15], "two": [6, 13, 14], "twoqubitqpdg": [12, 41], "uncut": 9, "unique_by_eq": 52, "unique_by_id": 53, "updat": 9, "upgrad": 18, "us": [9, 11, 12, 13, 14, 17], "util": [2, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67], "valu": [9, 11, 12, 13], "verifi": [4, 5, 30], "via": 6, "visual": [9, 11, 12, 13], "weight": [6, 8], "weighttyp": [8, 42], "where": 13, "width": 11, "wire": [4, 5, 6, 9, 13, 14], "within": 17}})
\ No newline at end of file
diff --git a/stubs/circuit_knitting.utils.simulation.ExactSampler.html b/stubs/circuit_knitting.utils.simulation.ExactSampler.html
index 46c6ea397..9fb368fa6 100644
--- a/stubs/circuit_knitting.utils.simulation.ExactSampler.html
+++ b/stubs/circuit_knitting.utils.simulation.ExactSampler.html
@@ -322,7 +322,7 @@ <h1>circuit_knitting.utils.simulation.ExactSampler<a class="headerlink" href="#c
 <li><p>classical bits can be written more than once</p></li>
 </ul>
 <p>The samplers provided by <a class="reference external" href="https://docs.quantum.ibm.com/api/qiskit/primitives#module-qiskit.primitives" title="(in Qiskit v1.1)"><code class="xref py py-mod docutils literal notranslate"><span class="pre">qiskit.primitives</span></code></a> and
-<a class="reference external" href="https://qiskit.github.io/qiskit-aer/apidocs/aer_primitives.html#module-qiskit_aer.primitives" title="(in Qiskit Aer v0.14.1)"><code class="xref py py-mod docutils literal notranslate"><span class="pre">qiskit_aer.primitives</span></code></a> do not currently support all of the above
+<a class="reference external" href="https://qiskit.github.io/qiskit-aer/apidocs/aer_primitives.html#module-qiskit_aer.primitives" title="(in Qiskit Aer v0.14.2)"><code class="xref py py-mod docutils literal notranslate"><span class="pre">qiskit_aer.primitives</span></code></a> do not currently support all of the above
 functionality.  Related upstream issues:</p>
 <ul class="simple">
 <li><p><a class="reference external" href="https://github.com/Qiskit/qiskit-terra/issues/9657">https://github.com/Qiskit/qiskit-terra/issues/9657</a></p></li>