AND

class AND(num_variable_qubits, flags=None, mcx_mode='noancilla')

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].

Create a new logical AND circuit.

Parameters

• num_variable_qubits (int) – The qubits of which the OR is computed. The result will be written into an additional result qubit.

• flags (Optional[List[int]]) – A list of +1/0/-1 marking negations or omisiions of qubits.

• mcx_mode (str) – The mode to be used to implement the multi-controlled X gate.

Attributes

AND.clbits	Returns a list of classical bits in the order that the registers were added.
AND.data	Return the circuit data (instructions and context).
AND.extension_lib
AND.header
AND.instances
AND.n_qubits	Deprecated, use num_qubits instead.
AND.num_clbits	Return number of classical bits.
AND.num_parameters	Convenience function to get the number of parameter objects in the circuit.
AND.num_qubits	Return number of qubits.
AND.parameters	Convenience function to get the parameters defined in the parameter table.
AND.prefix
AND.qubits	Returns a list of quantum bits in the order that the registers were added.

Methods

AND.AND(qr_variables, qb_target, qr_ancillae)	Build a collective conjunction (AND) circuit in place using mct.
AND.OR(qr_variables, qb_target, qr_ancillae)	Build a collective disjunction (OR) circuit in place using mct.
AND.__getitem__(item)	Return indexed operation.
AND.__len__()	Return number of operations in circuit.
AND.add_register(*regs)	Add registers.
AND.append(instruction[, qargs, cargs])	Append one or more instructions to the end of the circuit, modifying the circuit in place.
AND.assign_parameters(param_dict[, inplace])	Assign parameters to new parameters or values.
AND.barrier(*qargs)	Apply Barrier.
AND.bind_parameters(value_dict)	Assign numeric parameters to values yielding a new circuit.
AND.cast(value, _type)	Best effort to cast value to type.
AND.cbit_argument_conversion(…)	Converts several classical bit representations (such as indexes, range, etc.) into a list of classical bits.
AND.ccx(control_qubit1, control_qubit2, …)	Apply CCXGate.
AND.ch(control_qubit, target_qubit, *[, …])	Apply CHGate.
AND.cls_instances()	Return the current number of instances of this class, useful for auto naming.
AND.cls_prefix()	Return the prefix to use for auto naming.
AND.cnot(control_qubit, target_qubit, *[, …])	Apply CXGate.
AND.combine(rhs)	Append rhs to self if self contains compatible registers.
AND.compose(other[, qubits, clbits, front, …])	Compose circuit with other circuit or instruction, optionally permuting wires.
AND.copy([name])	Copy the circuit.
AND.count_ops()	Count each operation kind in the circuit.
AND.crx(theta, control_qubit, target_qubit, *)	Apply CRXGate.
AND.cry(theta, control_qubit, target_qubit, *)	Apply CRYGate.
AND.crz(theta, control_qubit, target_qubit, *)	Apply CRZGate.
AND.cswap(control_qubit, target_qubit1, …)	Apply CSwapGate.
AND.cu1(theta, control_qubit, target_qubit, *)	Apply CU1Gate.
AND.cu3(theta, phi, lam, control_qubit, …)	Apply CU3Gate.
AND.cx(control_qubit, target_qubit, *[, …])	Apply CXGate.
AND.cy(control_qubit, target_qubit, *[, …])	Apply CYGate.
AND.cz(control_qubit, target_qubit, *[, …])	Apply CZGate.
AND.dcx(qubit1, qubit2)	Apply DCXGate.
AND.decompose()	Call a decomposition pass on this circuit, to decompose one level (shallow decompose).
AND.depth()	Return circuit depth (i.e., length of critical path).
AND.diag_gate(diag, qubit)	Deprecated version of QuantumCircuit.diagonal.
AND.diagonal(diag, qubit)	Attach a diagonal gate to a circuit.
AND.draw([output, scale, filename, style, …])	Draw the quantum circuit.
AND.extend(rhs)	Append QuantumCircuit to the right hand side if it contains compatible registers.
AND.fredkin(control_qubit, target_qubit1, …)	Apply CSwapGate.
AND.from_qasm_file(path)	Take in a QASM file and generate a QuantumCircuit object.
AND.from_qasm_str(qasm_str)	Take in a QASM string and generate a QuantumCircuit object.
AND.h(qubit, *[, q])	Apply HGate.
AND.hamiltonian(operator, time, qubits[, label])	Apply hamiltonian evolution to to qubits.
AND.has_register(register)	Test if this circuit has the register r.
AND.i(qubit, *[, q])	Apply IGate.
AND.id(qubit, *[, q])	Apply IGate.
AND.iden(qubit, *[, q])	Deprecated identity gate.
AND.initialize(params, qubits)	Apply initialize to circuit.
AND.inverse()	Invert this circuit.
AND.iso(isometry, q_input, q_ancillas_for_output)	Attach an arbitrary isometry from m to n qubits to a circuit.
AND.isometry(isometry, q_input, …[, …])	Attach an arbitrary isometry from m to n qubits to a circuit.
AND.iswap(qubit1, qubit2)	Apply iSwapGate.
AND.mcmt(gate, control_qubits, target_qubits)	Apply a multi-control, multi-target using a generic gate.
AND.mcrx(theta, q_controls, q_target[, …])	Apply Multiple-Controlled X rotation gate
AND.mcry(theta, q_controls, q_target, q_ancillae)	Apply Multiple-Controlled Y rotation gate
AND.mcrz(lam, q_controls, q_target[, …])	Apply Multiple-Controlled Z rotation gate
AND.mct(control_qubits, target_qubit[, …])	Apply MCXGate.
AND.mcu1(lam, control_qubits, target_qubit)	Apply MCU1Gate.
AND.mcx(control_qubits, target_qubit[, …])	Apply MCXGate.
AND.measure(qubit, cbit)	Measure quantum bit into classical bit (tuples).
AND.measure_active([inplace])	Adds measurement to all non-idle qubits.
AND.measure_all([inplace])	Adds measurement to all qubits.
AND.mirror()	Mirror the circuit by reversing the instructions.
AND.ms(theta, qubits)	Apply MSGate.
AND.num_connected_components([unitary_only])	How many non-entangled subcircuits can the circuit be factored to.
AND.num_nonlocal_gates()	Return number of non-local gates (i.e.
AND.num_tensor_factors()	Computes the number of tensor factors in the unitary (quantum) part of the circuit only.
AND.num_unitary_factors()	Computes the number of tensor factors in the unitary (quantum) part of the circuit only.
AND.qasm([formatted, filename])	Return OpenQASM string.
AND.qbit_argument_conversion(…)	Converts several qubit representations (such as indexes, range, etc.) into a list of qubits.
AND.r(theta, phi, qubit, *[, q])	Apply RGate.
AND.rcccx(control_qubit1, control_qubit2, …)	Apply RC3XGate.
AND.rccx(control_qubit1, control_qubit2, …)	Apply RCCXGate.
AND.remove_final_measurements([inplace])	Removes final measurement on all qubits if they are present.
AND.reset(qubit)	Reset q.
AND.rx(theta, qubit, *[, label, q])	Apply RXGate.
AND.rxx(theta, qubit1, qubit2)	Apply RXXGate.
AND.ry(theta, qubit, *[, label, q])	Apply RYGate.
AND.ryy(theta, qubit1, qubit2)	Apply RYYGate.
AND.rz(phi, qubit, *[, q])	Apply RZGate.
AND.rzx(theta, qubit1, qubit2)	Apply RZXGate.
AND.rzz(theta, qubit1, qubit2)	Apply RZZGate.
AND.s(qubit, *[, q])	Apply SGate.
AND.sdg(qubit, *[, q])	Apply SdgGate.
AND.size()	Returns total number of gate operations in circuit.
AND.snapshot(label[, snapshot_type, qubits, …])	Take a statevector snapshot of the internal simulator representation.
AND.snapshot_density_matrix(label[, qubits])	Take a density matrix snapshot of simulator state.
AND.snapshot_expectation_value(label, op, qubits)	Take a snapshot of expectation value <O> of an Operator.
AND.snapshot_probabilities(label, qubits[, …])	Take a probability snapshot of the simulator state.
AND.snapshot_stabilizer(label)	Take a stabilizer snapshot of the simulator state.
AND.snapshot_statevector(label)	Take a statevector snapshot of the simulator state.
AND.squ(unitary_matrix, qubit[, mode, …])	Decompose an arbitrary 2*2 unitary into three rotation gates.
AND.swap(qubit1, qubit2)	Apply SwapGate.
AND.t(qubit, *[, q])	Apply TGate.
AND.tdg(qubit, *[, q])	Apply TdgGate.
AND.to_gate([parameter_map])	Create a Gate out of this circuit.
AND.to_instruction([parameter_map])	Create an Instruction out of this circuit.
AND.toffoli(control_qubit1, control_qubit2, …)	Apply CCXGate.
AND.u1(theta, qubit, *[, q])	Apply U1Gate.
AND.u2(phi, lam, qubit, *[, q])	Apply U2Gate.
AND.u3(theta, phi, lam, qubit, *[, q])	Apply U3Gate.
AND.uc(gate_list, q_controls, q_target[, …])	Attach a uniformly controlled gates (also called multiplexed gates) to a circuit.
AND.ucg(angle_list, q_controls, q_target[, …])	Deprecated version of uc.
AND.ucrx(angle_list, q_controls, q_target)	Attach a uniformly controlled (also called multiplexed) Rx rotation gate to a circuit.
AND.ucry(angle_list, q_controls, q_target)	Attach a uniformly controlled (also called multiplexed) Ry rotation gate to a circuit.
AND.ucrz(angle_list, q_controls, q_target)	Attach a uniformly controlled (also called multiplexed gates) Rz rotation gate to a circuit.
AND.ucx(angle_list, q_controls, q_target)	Deprecated version of ucrx.
AND.ucy(angle_list, q_controls, q_target)	Deprecated version of ucry.
AND.ucz(angle_list, q_controls, q_target)	Deprecated version of ucrz.
AND.unitary(obj, qubits[, label])	Apply unitary gate to q.
AND.width()	Return number of qubits plus clbits in circuit.
AND.x(qubit, *[, label, ctrl_state, q])	Apply XGate.
AND.y(qubit, *[, q])	Apply YGate.
AND.z(qubit, *[, q])	Apply ZGate.
AND.__getitem__(item)	Return indexed operation.
AND.__len__()	Return number of operations in circuit.