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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.","","\"\"\"iSWAP gate.\"\"\"","","from typing import Optional","","import numpy as np","","from qiskit.circuit.singleton import SingletonGate, stdlib_singleton_key","from qiskit.circuit.quantumregister import QuantumRegister","from qiskit.circuit._utils import with_gate_array","","from .xx_plus_yy import XXPlusYYGate","","","@with_gate_array([[1, 0, 0, 0], [0, 0, 1j, 0], [0, 1j, 0, 0], [0, 0, 0, 1]])","class iSwapGate(SingletonGate):"," r\"\"\"iSWAP gate.",""," A 2-qubit XX+YY interaction."," This is a Clifford and symmetric gate. Its action is to swap two qubit"," states and phase the :math:`|01\\rangle` and :math:`|10\\rangle`"," amplitudes by i.",""," Can be applied to a :class:`~qiskit.circuit.QuantumCircuit`"," with the :meth:`~qiskit.circuit.QuantumCircuit.iswap` method.",""," **Circuit Symbol:**",""," .. parsed-literal::",""," q_0: ─⨂─"," │"," q_1: ─⨂─",""," **Reference Implementation:**",""," .. parsed-literal::",""," ┌───┐┌───┐ ┌───┐"," q_0: ┤ S ├┤ H ├──■──┤ X ├─────"," ├───┤└───┘┌─┴─┐└─┬─┘┌───┐"," q_1: ┤ S ├─────┤ X ├──■──┤ H ├"," └───┘ └───┘ └───┘",""," **Matrix Representation:**",""," .. math::",""," iSWAP = R_{XX+YY}\\left(-\\frac{\\pi}{2}\\right)"," = \\exp\\left(i \\frac{\\pi}{4} \\left(X{\\otimes}X+Y{\\otimes}Y\\right)\\right) ="," \\begin{pmatrix}"," 1 & 0 & 0 & 0 \\\\"," 0 & 0 & i & 0 \\\\"," 0 & i & 0 & 0 \\\\"," 0 & 0 & 0 & 1"," \\end{pmatrix}",""," This gate is equivalent to a SWAP up to a diagonal.",""," .. math::",""," iSWAP ="," \\begin{pmatrix}"," 1 & 0 & 0 & 0 \\\\"," 0 & 0 & 1 & 0 \\\\"," 0 & 1 & 0 & 0 \\\\"," 0 & 0 & 0 & 1"," \\end{pmatrix}"," . \\begin{pmatrix}"," 1 & 0 & 0 & 0 \\\\"," 0 & i & 0 & 0 \\\\"," 0 & 0 & i & 0 \\\\"," 0 & 0 & 0 & 1"," \\end{pmatrix}"," \"\"\"",""," def __init__(self, label: Optional[str] = None, *, duration=None, unit=\"dt\"):"," \"\"\"Create new iSwap gate.\"\"\""," super().__init__(\"iswap\", 2, [], label=label, duration=duration, unit=unit)",""," _singleton_lookup_key = stdlib_singleton_key()",""," def _define(self):"," \"\"\""," gate iswap a,b {"," s q[0];"," s q[1];"," h q[0];"," cx q[0],q[1];"," cx q[1],q[0];"," h q[1];"," }"," \"\"\""," # pylint: disable=cyclic-import"," from qiskit.circuit.quantumcircuit import QuantumCircuit",""," from .h import HGate"," from .s import SGate"," from .x import CXGate",""," q = QuantumRegister(2, \"q\")"," qc = QuantumCircuit(q, name=self.name)"," rules = ["," (SGate(), [q[0]], []),"," (SGate(), [q[1]], []),"," (HGate(), [q[0]], []),"," (CXGate(), [q[0], q[1]], []),"," (CXGate(), [q[1], 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