qiskit.circuit.library.standard_gates.u2 のソースコード

# This code is part of Qiskit.
# (C) Copyright IBM 2017.
# 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
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"""One-pulse single-qubit gate."""
from math import sqrt
from cmath import exp
from typing import Optional
import numpy
from qiskit.qasm import pi
from qiskit.circuit.gate import Gate
from qiskit.circuit.parameterexpression import ParameterValueType
from qiskit.circuit.quantumregister import QuantumRegister

[ドキュメント]class U2Gate(Gate): r"""Single-qubit rotation about the X+Z axis. Implemented using one X90 pulse on IBM Quantum systems: .. warning:: This gate is deprecated. Instead, the following replacements should be used .. math:: U2(\phi, \lambda) = U\left(\frac{\pi}{2}, \phi, \lambda\right) .. code-block:: python circuit = QuantumCircuit(1) circuit.u(pi/2, phi, lambda) **Circuit symbol:** .. parsed-literal:: ┌─────────┐ q_0: ┤ U2(φ,λ) ├ └─────────┘ **Matrix Representation:** .. math:: U2(\phi, \lambda) = \frac{1}{\sqrt{2}} \begin{pmatrix} 1 & -e^{i\lambda} \\ e^{i\phi} & e^{i(\phi+\lambda)} \end{pmatrix} **Examples:** .. math:: U2(\phi,\lambda) = e^{i \frac{\phi + \lambda}{2}}RZ(\phi) RY\left(\frac{\pi}{2}\right) RZ(\lambda) = e^{- i\frac{\pi}{4}} P\left(\frac{\pi}{2} + \phi\right) \sqrt{X} P\left(\lambda- \frac{\pi}{2}\right) .. math:: U2(0, \pi) = H .. math:: U2(0, 0) = RY(\pi/2) .. math:: U2(-\pi/2, \pi/2) = RX(\pi/2) .. seealso:: :class:`~qiskit.circuit.library.standard_gates.U3Gate`: U3 is a generalization of U2 that covers all single-qubit rotations, using two X90 pulses. """ def __init__( self, phi: ParameterValueType, lam: ParameterValueType, label: Optional[str] = None ): """Create new U2 gate.""" super().__init__("u2", 1, [phi, lam], label=label) def _define(self): # pylint: disable=cyclic-import from qiskit.circuit.quantumcircuit import QuantumCircuit from .u3 import U3Gate q = QuantumRegister(1, "q") qc = QuantumCircuit(q, name=self.name) rules = [(U3Gate(pi / 2, self.params[0], self.params[1]), [q[0]], [])] for instr, qargs, cargs in rules: qc._append(instr, qargs, cargs) self.definition = qc
[ドキュメント] def inverse(self): r"""Return inverted U2 gate. :math:`U2(\phi, \lambda)^{\dagger} =U2(-\lambda-\pi, -\phi+\pi)`) """ return U2Gate(-self.params[1] - pi, -self.params[0] + pi)
def __array__(self, dtype=complex): """Return a Numpy.array for the U2 gate.""" isqrt2 = 1 / sqrt(2) phi, lam = self.params phi, lam = float(phi), float(lam) return numpy.array( [ [isqrt2, -exp(1j * lam) * isqrt2], [exp(1j * phi) * isqrt2, exp(1j * (phi + lam)) * isqrt2], ], dtype=dtype, )