From 8ac20d2b13824877cad7c21ea518e2c65ca650f5 Mon Sep 17 00:00:00 2001 From: SimoneGasperini Date: Mon, 13 Jan 2025 21:23:57 +0100 Subject: [PATCH] Fix README example removing reference to the symbolic Operator class --- README.md | 22 +++++++++++----------- img/example_circuit.png | Bin 5880 -> 5845 bytes img/medium.png | Bin 41855 -> 43674 bytes 3 files changed, 11 insertions(+), 11 deletions(-) diff --git a/README.md b/README.md index 99f6918..435dd97 100644 --- a/README.md +++ b/README.md @@ -25,11 +25,11 @@ # Introduction -The `qiskit-symb` package is meant to be a Python tool to enable the symbolic evaluation of parametric quantum states and operators defined in [Qiskit](https://github.com/Qiskit/qiskit) by parameterized quantum circuits. +The `qiskit-symb` package is meant to be a Python tool to enable the symbolic evaluation of parametric quantum states defined by [Qiskit](https://github.com/Qiskit/qiskit) by parameterized quantum circuits. A Parameterized Quantum Circuit (PQC) is a quantum circuit where we have at least one free parameter (e.g. a rotation angle $\theta$). PQCs are particularly relevant in Quantum Machine Learning (QML) models, where the values of these parameters can be learned during training to reach the desired output. -In particular, `qiskit-symb` can be used to create a symbolic representation of a parametric quantum state or operator directly from the Qiskit quantum circuit. This has been achieved through the re-implementation of some basic classes defined in the [`qiskit/quantum_info/`](https://github.com/Qiskit/qiskit/tree/main/qiskit/quantum_info) module by using [sympy](https://github.com/sympy/sympy) as a backend for symbolic expressions manipulation. +In particular, `qiskit-symb` can be used to create a symbolic representation of a parametric quantum state directly from the Qiskit quantum circuit. This has been achieved through the re-implementation of some basic classes defined in the [`qiskit/quantum_info/`](https://github.com/Qiskit/qiskit/tree/main/qiskit/quantum_info) module by using [sympy](https://github.com/sympy/sympy) as a backend for symbolic expressions manipulation. # Installation @@ -63,30 +63,30 @@ p = ParameterVector('p', length=2) pqc = QuantumCircuit(2) pqc.ry(y, 0) pqc.cx(0, 1) -pqc.u(0, *p, 1) +pqc.u(p[0], 0, p[1], 1) pqc.draw('mpl') ``` ![](/img/example_circuit.png) -To get the *sympy* representation of the unitary matrix corresponding to the parameterized circuit, we just have to create the symbolic `Operator` instance and call the `to_sympy()` method: +To get the *sympy* representation of the unit-norm complex vector prepared by the parameterized circuit, we just have to create the symbolic `Statevector` instance and call the `to_sympy()` method: ```python -from qiskit_symb.quantum_info import Operator +from qiskit_symb.quantum_info import Statevector -op = Operator(pqc) -op.to_sympy() +psi = Statevector(pqc) +psi.to_sympy() ``` ```math -\left[\begin{matrix}\cos{\left(\frac{y}{2} \right)} & - \sin{\left(\frac{y}{2} \right)} & 0 & 0\\0 & 0 & \sin{\left(\frac{y}{2} \right)} & \cos{\left(\frac{y}{2} \right)}\\0 & 0 & e^{i \left(p[0] + p[1]\right)} \cos{\left(\frac{y}{2} \right)} & - e^{i \left(p[0] + p[1]\right)} \sin{\left(\frac{y}{2} \right)}\\e^{i \left(p[0] + p[1]\right)} \sin{\left(\frac{y}{2} \right)} & e^{i \left(p[0] + p[1]\right)} \cos{\left(\frac{y}{2} \right)} & 0 & 0\end{matrix}\right] +\left[\begin{matrix}\cos{\left(\frac{p[0]}{2} \right)} \cos{\left(\frac{y}{2} \right)} & - e^{1.0 i p[1]} \sin{\left(\frac{p[0]}{2} \right)} \sin{\left(\frac{y}{2} \right)} & \sin{\left(\frac{p[0]}{2} \right)} \cos{\left(\frac{y}{2} \right)} & e^{1.0 i p[1]} \sin{\left(\frac{y}{2} \right)} \cos{\left(\frac{p[0]}{2} \right)}\end{matrix}\right] ``` If you want then to assign a value to some specific parameter, you can use the `subs()` method passing a dictionary that maps each parameter to the desired corresponding value: ```python -new_op = op.subs({p: [-1, 2]}) -new_op.to_sympy() +new_psi = psi.subs({p: [-1, 2]}) +new_psi.to_sympy() ``` ```math -\left[\begin{matrix}\cos{\left(\frac{y}{2} \right)} & - \sin{\left(\frac{y}{2} \right)} & 0 & 0\\0 & 0 & \sin{\left(\frac{y}{2} \right)} & \cos{\left(\frac{y}{2} \right)}\\0 & 0 & e^{i} \cos{\left(\frac{y}{2} \right)} & - e^{i} \sin{\left(\frac{y}{2} \right)}\\e^{i} \sin{\left(\frac{y}{2} \right)} & e^{i} \cos{\left(\frac{y}{2} \right)} & 0 & 0\end{matrix}\right] +\left[\begin{matrix}\cos{\left(\frac{1}{2} \right)} \cos{\left(\frac{y}{2} \right)} & e^{2.0 i} \sin{\left(\frac{1}{2} \right)} \sin{\left(\frac{y}{2} \right)} & - \sin{\left(\frac{1}{2} \right)} \cos{\left(\frac{y}{2} \right)} & e^{2.0 i} \sin{\left(\frac{y}{2} \right)} \cos{\left(\frac{1}{2} \right)}\end{matrix}\right] ``` ### _Lambdify_ a Qiskit circuit diff --git a/img/example_circuit.png b/img/example_circuit.png 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