rzx_zz3.py

# This code is part of Qiskit.
#
# (C) Copyright IBM 2021.
#
# This code is licensed under the Apache License, Version 2.0. You may
# obtain a copy of this license in the LICENSE.txt file in the root directory
# of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.
#
# Any modifications or derivative works of this code must retain this
# copyright notice, and modified files need to carry a notice indicating
# that they have been altered from the originals.

"""
RZX based template for CX - RZGate - CX
.. parsed-literal::
                                                                            »
q_0: ──■─────────────■──────────────────────────────────────────────────────»
     ┌─┴─┐┌───────┐┌─┴─┐┌────────┐┌─────────┐┌─────────┐┌─────────┐┌───────┐»
q_1: ┤ X ├┤ RZ(ϴ) ├┤ X ├┤ RZ(-ϴ) ├┤ RZ(π/2) ├┤ RX(π/2) ├┤ RZ(π/2) ├┤ RX(ϴ) ├»
     └───┘└───────┘└───┘└────────┘└─────────┘└─────────┘└─────────┘└───────┘»
«     ┌──────────┐
«q_0: ┤0         ├─────────────────────────────────
«     │  RZX(-ϴ) │┌─────────┐┌─────────┐┌─────────┐
«q_1: ┤1         ├┤ RZ(π/2) ├┤ RX(π/2) ├┤ RZ(π/2) ├
«     └──────────┘└─────────┘└─────────┘└─────────┘
"""
from __future__ import annotations

import numpy as np

from qiskit.circuit import Parameter, QuantumCircuit
from qiskit.circuit.parameterexpression import ParameterValueType


def rzx_zz3(theta: ParameterValueType | None = None):
    """Template for CX - RZGate - CX."""
    if theta is None:
        theta = Parameter("ϴ")

    qc = QuantumCircuit(2)
    qc.cx(0, 1)
    qc.rz(theta, 1)
    qc.cx(0, 1)
    qc.rz(-1 * theta, 1)
    # Hadamard
    qc.rz(np.pi / 2, 1)
    qc.rx(np.pi / 2, 1)
    qc.rz(np.pi / 2, 1)

    qc.rx(theta, 1)
    qc.rzx(-1 * theta, 0, 1)
    # Hadamard
    qc.rz(np.pi / 2, 1)
    qc.rx(np.pi / 2, 1)
    qc.rz(np.pi / 2, 1)

    return qc