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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.","","\"\"\"Permutation circuit (the old way to specify permutations, which is required for","backward compatibility and which will be eventually deprecated) and the permutation","gate (the new way to specify permutations, allowing a variety of synthesis algorithms).","\"\"\"","","from __future__ import annotations","","import numpy as np","","from qiskit.circuit.quantumcircuit import QuantumCircuit","from qiskit.circuit.quantumcircuit import Gate","from qiskit.circuit.exceptions import CircuitError","","","class Permutation(QuantumCircuit):"," \"\"\"An n_qubit circuit that permutes qubits.\"\"\"",""," def __init__("," self,"," num_qubits: int,"," pattern: list[int] | np.ndarray | None = None,"," seed: int | None = None,"," ) -> None:"," \"\"\"Return an n_qubit permutation circuit implemented using SWAPs.",""," Args:"," num_qubits: circuit width."," pattern: permutation pattern, describing which qubits occupy the"," positions 0, 1, 2, etc. after applying the permutation, that"," is ``pattern[k] = m`` when the permutation maps qubit ``m``"," to position ``k``. As an example, the pattern ``[2, 4, 3, 0, 1]``"," means that qubit ``2`` goes to position ``0``, qubit ``4``"," goes to the position ``1``, etc. The pattern can also be ``None``,"," in which case a random permutation over ``num_qubits`` is"," created."," seed: random seed in case a random permutation is requested.",""," Raises:"," CircuitError: if permutation pattern is malformed.",""," Reference Circuit:"," .. plot::",""," from qiskit.circuit.library import Permutation"," A = [2,4,3,0,1]"," circuit = Permutation(5, A)"," circuit.draw('mpl')",""," Expanded Circuit:"," .. plot::",""," from qiskit.circuit.library import Permutation"," from qiskit.visualization.library import _generate_circuit_library_visualization"," A = [2,4,3,0,1]"," circuit = Permutation(5, A)"," _generate_circuit_library_visualization(circuit.decompose())"," \"\"\""," if pattern is not None:"," if sorted(pattern) != list(range(num_qubits)):"," raise CircuitError("," \"Permutation pattern must be some ordering of 0..num_qubits-1 in a list.\""," )"," pattern = np.array(pattern)"," else:"," rng = np.random.default_rng(seed)"," pattern = np.arange(num_qubits)"," rng.shuffle(pattern)",""," name = \"permutation_\" + np.array_str(pattern).replace(\" \", \",\")",""," circuit = QuantumCircuit(num_qubits, name=name)",""," super().__init__(num_qubits, name=name)",""," # pylint: disable=cyclic-import"," from qiskit.synthesis.permutation.permutation_utils import _get_ordered_swap",""," for i, j in _get_ordered_swap(pattern):"," circuit.swap(i, j)",""," all_qubits = self.qubits"," self.append(circuit.to_gate(), all_qubits)","","","class PermutationGate(Gate):"," \"\"\"A gate that permutes qubits.\"\"\"",""," def __init__("," self,"," pattern: list[int],"," ) -> None:"," \"\"\"Return a permutation gate.",""," Args:"," pattern: permutation pattern, describing which qubits occupy the"," positions 0, 1, 2, etc. after applying the permutation, that"," is ``pattern[k] = m`` when the permutation maps qubit ``m``"," to position ``k``. As an example, the pattern ``[2, 4, 3, 0, 1]``"," means that qubit ``2`` goes to position ``0``, qubit ``4``"," goes to the position ``1``, etc.",""," Raises:"," CircuitError: if permutation pattern is malformed.",""," Reference Circuit:"," .. plot::",""," from qiskit.circuit.quantumcircuit import QuantumCircuit"," from qiskit.circuit.library import PermutationGate"," A = [2,4,3,0,1]"," permutation = PermutationGate(A)"," circuit = QuantumCircuit(5)"," circuit.append(permutation, [0, 1, 2, 3, 4])"," circuit.draw('mpl')",""," Expanded Circuit:"," .. plot::",""," from qiskit.circuit.quantumcircuit import QuantumCircuit"," from qiskit.circuit.library import PermutationGate"," from qiskit.visualization.library import _generate_circuit_library_visualization"," A = [2,4,3,0,1]"," permutation = PermutationGate(A)"," circuit = QuantumCircuit(5)"," circuit.append(permutation, [0, 1, 2, 3, 4])",""," _generate_circuit_library_visualization(circuit.decompose())"," \"\"\""," num_qubits = len(pattern)"," if sorted(pattern) != list(range(num_qubits)):"," raise CircuitError("," \"Permutation pattern must be some ordering of 0..num_qubits-1 in a list.\""," )"," pattern = np.array(pattern)",""," super().__init__(name=\"permutation\", num_qubits=num_qubits, params=[pattern])",""," def __array__(self, dtype=None):"," \"\"\"Return a numpy.array for the Permutation gate.\"\"\""," nq = len(self.pattern)"," mat = np.zeros((2**nq, 2**nq), dtype=dtype)",""," for r in range(2**nq):"," # convert row to bitstring, reverse, apply permutation pattern, reverse again,"," # and convert to row"," bit = bin(r)[2:].zfill(nq)[::-1]"," permuted_bit = \"\".join([bit[j] for j in self.pattern])"," pr = int(permuted_bit[::-1], 2)"," mat[pr, r] = 1",""," return mat",""," def validate_parameter(self, parameter):"," \"\"\"Parameter validation.\"\"\""," return parameter",""," @property"," def pattern(self):"," \"\"\"Returns the permutation pattern defining this permutation.\"\"\""," return 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