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This code is part of Qiskit.","#","# (C) Copyright IBM 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.","","","\"\"\"Implementations of boolean logic quantum circuits.\"\"\"","from __future__ import annotations","","from qiskit.circuit import QuantumRegister, QuantumCircuit, AncillaRegister","from qiskit.circuit.library.standard_gates import MCXGate","","","class AND(QuantumCircuit):"," r\"\"\"A circuit implementing the logical AND operation on a number of qubits.",""," For the AND operation the state :math:`|1\\rangle` is interpreted as ``True``. The result"," qubit is flipped, if the state of all variable qubits is ``True``. In this format, the AND"," operation equals a multi-controlled X gate, which is controlled on all variable qubits."," Using a list of flags however, qubits can be skipped or negated. Practically, the flags"," allow to skip controls or to apply pre- and post-X gates to the negated qubits.",""," The AND gate without special flags equals the multi-controlled-X gate:",""," .. plot::",""," from qiskit.circuit.library import AND"," from qiskit.visualization.library import _generate_circuit_library_visualization"," circuit = AND(5)"," _generate_circuit_library_visualization(circuit)",""," Using flags we can negate qubits or skip them. For instance, if we have 5 qubits and want to"," return ``True`` if the first qubit is ``False`` and the last two are ``True`` we use the flags"," ``[-1, 0, 0, 1, 1]``.",""," .. plot::",""," from qiskit.circuit.library import AND"," from qiskit.visualization.library import _generate_circuit_library_visualization"," circuit = AND(5, flags=[-1, 0, 0, 1, 1])"," _generate_circuit_library_visualization(circuit)",""," \"\"\"",""," def __init__("," self,"," num_variable_qubits: int,"," flags: list[int] | None = None,"," mcx_mode: str = \"noancilla\","," ) -> None:"," \"\"\"Create a new logical AND circuit.",""," Args:"," num_variable_qubits: The qubits of which the OR is computed. The result will be written"," into an additional result qubit."," flags: A list of +1/0/-1 marking negations or omissions of qubits."," mcx_mode: The mode to be used to implement the multi-controlled X gate."," \"\"\""," self.num_variable_qubits = num_variable_qubits"," self.flags = flags",""," # add registers"," qr_variable = QuantumRegister(num_variable_qubits, name=\"variable\")"," qr_result = QuantumRegister(1, name=\"result\")",""," circuit = QuantumCircuit(qr_variable, qr_result, name=\"and\")",""," # determine the control qubits: all that have a nonzero flag"," flags = flags or [1] * num_variable_qubits"," control_qubits = [q for q, flag in zip(qr_variable, flags) if flag != 0]",""," # determine the qubits that need to be flipped (if a flag is < 0)"," flip_qubits = [q for q, flag in zip(qr_variable, flags) if flag < 0]",""," # determine the number of ancillas"," num_ancillas = MCXGate.get_num_ancilla_qubits(len(control_qubits), mode=mcx_mode)"," if num_ancillas > 0:"," 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