AND

class qiskit.circuit.library.AND(num_variable_qubits, flags=None, mcx_mode='noancilla')

Bases: QuantumCircuit

A circuit implementing the logical AND operation on a number of qubits.

For the AND operation the state $|1\rangle$ 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:

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].

Parameters

• num_variable_qubits (int) – The qubits of which the AND is computed. The result will be written into an additional result qubit.
• flags (list[int] | None) – A list of +1/0/-1 marking negations or omissions of qubits.
• mcx_mode (str) – The mode to be used to implement the multi-controlled X gate.

Attributes

name

from qiskit import QuantumCircuit

qc = QuantumCircuit(2, 2, name="my_circuit")
print(qc.name)

my_circuit