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This code is part of Qiskit.","#","# (C) Copyright IBM 2017, 2020","#","# 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.","","\"\"\"Rotation around an arbitrary axis on the Bloch sphere.\"\"\"","","import numpy","from qiskit.circuit.gate import Gate","from qiskit.circuit.exceptions import CircuitError","","","class RVGate(Gate):"," r\"\"\"Rotation around arbitrary rotation axis :math:`v` where :math:`|v|` is"," angle of rotation in radians.",""," Can be applied to a :class:`~qiskit.circuit.QuantumCircuit`"," with the :meth:`~qiskit.circuit.QuantumCircuit.rv` method.",""," **Circuit symbol:**",""," .. parsed-literal::",""," ┌─────────────────┐"," q_0: ┤ RV(v_x,v_y,v_z) ├"," └─────────────────┘",""," **Matrix Representation:**",""," .. math::",""," \\newcommand{\\rotationangle}{|\\vec{v}|}"," \\newcommand{\\sinc}{\\text{sinc}}"," R(\\vec{v}) = e^{-i \\vec{v}\\cdot\\vec{\\sigma}} ="," \\begin{pmatrix}"," \\cos\\left(\\rotationangle\\right) -i v_z \\sinc\\left(\\rotationangle\\right)"," & -(i v_x + v_y) \\sinc\\left(\\rotationangle\\right) \\\\"," -(i v_x - v_y) \\sinc\\left(\\rotationangle\\right)"," & \\cos\\left(\\rotationangle\\right) + i v_z \\sinc\\left(\\rotationangle\\right)"," \\end{pmatrix}"," \"\"\"",""," def __init__(self, v_x, v_y, v_z, basis=\"U\"):"," \"\"\"Create new rv single-qubit gate.",""," Args:"," v_x (float): x-component"," v_y (float): y-component"," v_z (float): z-component"," basis (str, optional): basis (see"," :class:`~qiskit.synthesis.one_qubit.one_qubit_decompose.OneQubitEulerDecomposer`)"," \"\"\""," # pylint: disable=cyclic-import"," from qiskit.synthesis.one_qubit.one_qubit_decompose import OneQubitEulerDecomposer",""," super().__init__(\"rv\", 1, [v_x, v_y, v_z])"," self._decomposer = 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