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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","# copyright notice, and modified files need to carry a notice indicating","# that they have been altered from the originals.","","\"\"\"Swap gate.\"\"\"","","from typing import Optional, Union","import numpy","from qiskit.circuit.singleton import SingletonGate, SingletonControlledGate, stdlib_singleton_key","from qiskit.circuit.quantumregister import QuantumRegister","from qiskit.circuit._utils import with_gate_array, with_controlled_gate_array","","","_SWAP_ARRAY = numpy.array([[1, 0, 0, 0], [0, 0, 1, 0], [0, 1, 0, 0], [0, 0, 0, 1]])","","","@with_gate_array(_SWAP_ARRAY)","class SwapGate(SingletonGate):"," r\"\"\"The SWAP gate.",""," This is a symmetric and Clifford gate.",""," Can be applied to a :class:`~qiskit.circuit.QuantumCircuit`"," with the :meth:`~qiskit.circuit.QuantumCircuit.swap` method.",""," **Circuit symbol:**",""," .. parsed-literal::",""," q_0: ─X─"," │"," q_1: ─X─",""," **Matrix Representation:**",""," .. math::",""," SWAP ="," \\begin{pmatrix}"," 1 & 0 & 0 & 0 \\\\"," 0 & 0 & 1 & 0 \\\\"," 0 & 1 & 0 & 0 \\\\"," 0 & 0 & 0 & 1"," \\end{pmatrix}",""," The gate is equivalent to a state swap and is a classical logic gate.",""," .. math::",""," |a, b\\rangle \\rightarrow |b, a\\rangle"," \"\"\"",""," def __init__(self, label: Optional[str] = None, *, duration=None, unit=\"dt\"):"," \"\"\"Create new SWAP gate.\"\"\""," super().__init__(\"swap\", 2, [], label=label, duration=duration, unit=unit)",""," _singleton_lookup_key = stdlib_singleton_key()",""," def _define(self):"," \"\"\""," gate swap a,b { cx a,b; cx b,a; cx a,b; }"," \"\"\""," # pylint: disable=cyclic-import"," from qiskit.circuit.quantumcircuit import QuantumCircuit"," from .x import CXGate",""," q = QuantumRegister(2, \"q\")"," qc = QuantumCircuit(q, name=self.name)"," rules = ["," (CXGate(), [q[0], q[1]], []),"," (CXGate(), [q[1], q[0]], []),"," (CXGate(), [q[0], q[1]], []),"," ]"," for instr, qargs, cargs in rules:"," qc._append(instr, qargs, cargs)",""," self.definition = qc",""," def control("," self,"," num_ctrl_qubits: int = 1,"," label: Optional[str] = None,"," ctrl_state: Optional[Union[str, int]] = None,"," annotated: bool = False,"," ):"," \"\"\"Return a (multi-)controlled-SWAP gate.",""," One control returns a CSWAP (Fredkin) gate.",""," Args:"," num_ctrl_qubits: number of control qubits."," label: An optional label for the gate [Default: ``None``]"," ctrl_state: control state expressed as integer,"," string (e.g.``'110'``), or ``None``. If ``None``, use all 1s."," annotated: indicates whether the controlled gate can be implemented"," as an annotated gate.",""," Returns:"," ControlledGate: controlled version of this gate."," \"\"\""," if not annotated and num_ctrl_qubits == 1:"," gate = CSwapGate(label=label, ctrl_state=ctrl_state, _base_label=self.label)"," else:"," gate = super().control("," num_ctrl_qubits=num_ctrl_qubits,"," label=label,"," ctrl_state=ctrl_state,"," annotated=annotated,"," )"," return gate",""," def inverse(self, annotated: bool = False):"," \"\"\"Return inverse Swap gate (itself).",""," Args:"," annotated: when set to ``True``, this is typically used to return an"," :class:`.AnnotatedOperation` with an inverse modifier set instead of a concrete"," :class:`.Gate`. However, for this class this argument is ignored as this gate"," is self-inverse.",""," Returns:"," SwapGate: inverse gate (self-inverse)."," \"\"\""," return SwapGate() # self-inverse",""," def __eq__(self, other):"," return isinstance(other, SwapGate)","","","@with_controlled_gate_array(_SWAP_ARRAY, num_ctrl_qubits=1)","class CSwapGate(SingletonControlledGate):"," r\"\"\"Controlled-SWAP gate, also known as the Fredkin gate.",""," Can be applied to a :class:`~qiskit.circuit.QuantumCircuit`"," with the :meth:`~qiskit.circuit.QuantumCircuit.cswap` and"," :meth:`~qiskit.circuit.QuantumCircuit.fredkin` methods.",""," **Circuit symbol:**",""," .. parsed-literal::",""," q_0: ─■─"," │"," q_1: ─X─"," │"," q_2: ─X─","",""," **Matrix representation:**",""," .. math::",""," CSWAP\\ q_0, q_1, q_2 ="," I \\otimes I \\otimes |0 \\rangle \\langle 0| +"," SWAP \\otimes |1 \\rangle \\langle 1| ="," \\begin{pmatrix}"," 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\\\"," 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\\\"," 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\\\"," 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 \\\\"," 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 \\\\"," 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \\\\"," 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 \\\\"," 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 \\\\"," \\end{pmatrix}",""," .. note::",""," In Qiskit's convention, higher qubit indices are more significant"," (little endian convention). In many textbooks, controlled gates are"," presented with the assumption of more significant qubits as control,"," which in our case would be q_2. Thus a textbook matrix for this"," gate will be:",""," .. parsed-literal::",""," q_0: ─X─"," │"," q_1: ─X─"," │"," q_2: ─■─",""," .. math::",""," CSWAP\\ q_2, q_1, q_0 ="," |0 \\rangle \\langle 0| \\otimes I \\otimes I +"," |1 \\rangle \\langle 1| \\otimes SWAP ="," \\begin{pmatrix}"," 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\\\"," 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\\\"," 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\\\"," 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \\\\"," 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 \\\\"," 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 \\\\"," 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 \\\\"," 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 \\\\"," \\end{pmatrix}",""," In the computational basis, this gate swaps the states of"," the two target qubits if the control qubit is in the"," :math:`|1\\rangle` state.",""," .. math::"," |0, b, c\\rangle \\rightarrow |0, b, c\\rangle"," |1, b, c\\rangle \\rightarrow |1, c, b\\rangle"," \"\"\"",""," def __init__("," self,"," label: Optional[str] = None,"," ctrl_state: Optional[Union[str, int]] = None,"," *,"," duration=None,"," unit=\"dt\","," _base_label=None,"," ):"," \"\"\"Create new CSWAP gate.\"\"\""," if unit is None:"," unit = \"dt\""," super().__init__("," \"cswap\","," 3,"," [],"," num_ctrl_qubits=1,"," label=label,"," ctrl_state=ctrl_state,"," base_gate=SwapGate(label=_base_label),"," duration=duration,"," unit=unit,"," )",""," _singleton_lookup_key = stdlib_singleton_key(num_ctrl_qubits=1)",""," def _define(self):"," \"\"\""," gate cswap a,b,c"," { cx c,b;"," ccx a,b,c;"," cx c,b;"," }"," \"\"\""," # pylint: disable=cyclic-import"," from qiskit.circuit.quantumcircuit import QuantumCircuit"," from .x import CXGate, CCXGate",""," q = QuantumRegister(3, \"q\")"," qc = QuantumCircuit(q, name=self.name)"," rules = ["," (CXGate(), [q[2], q[1]], []),"," (CCXGate(), [q[0], q[1], q[2]], []),"," (CXGate(), [q[2], q[1]], []),"," ]"," for instr, qargs, cargs in rules:"," qc._append(instr, qargs, cargs)",""," self.definition = qc",""," def inverse(self, annotated: bool = False):"," \"\"\"Return inverse CSwap gate (itself).",""," Args:"," annotated: when set to ``True``, this is typically used to return an"," :class:`.AnnotatedOperation` with an inverse modifier set instead of a concrete"," :class:`.Gate`. However, for this class this argument is ignored as this gate"," is self-inverse.",""," Returns:"," CSwapGate: inverse gate (self-inverse)."," \"\"\""," return CSwapGate(ctrl_state=self.ctrl_state) # self-inverse",""," def __eq__(self, other):"," return isinstance(other, CSwapGate) and self.ctrl_state == 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