AND
class AND(num_variable_qubits, flags=None, mcx_mode='noancilla')
Bases: qiskit.circuit.quantumcircuit.QuantumCircuit
A circuit implementing the logical AND operation on a number of qubits.
For the AND operation the state 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:
(Source code, png, hires.png, pdf)
![../_images/qiskit-circuit-library-AND-1.png](/_next/image?url=%2Fimages%2Fapi%2Fqiskit%2F0.40%2Fqiskit-circuit-library-AND-1.png&w=1080&q=75)
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]
.
(Source code, png, hires.png, pdf)
![../_images/qiskit-circuit-library-AND-2.png](/_next/image?url=%2Fimages%2Fapi%2Fqiskit%2F0.40%2Fqiskit-circuit-library-AND-2.png&w=1080&q=75)
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 omissions of qubits. - mcx_mode (
str
) – The mode to be used to implement the multi-controlled X gate.
Attributes
ancillas
Returns a list of ancilla bits in the order that the registers were added.
Return type
List
[AncillaQubit
]
calibrations
Return calibration dictionary.
The custom pulse definition of a given gate is of the form {'gate_name': {(qubits, params): schedule}}
Return type
dict
clbits
data
Return the circuit data (instructions and context).
Returns
a list-like object containing the CircuitInstruction
s for each instruction.
Return type
QuantumCircuitData
extension_lib
Default value: 'include "qelib1.inc";'
global_phase
header
Default value: 'OPENQASM 2.0;'
instances
Default value: 2303
metadata
The user provided metadata associated with the circuit
The metadata for the circuit is a user provided dict
of metadata for the circuit. It will not be used to influence the execution or operation of the circuit, but it is expected to be passed between all transforms of the circuit (ie transpilation) and that providers will associate any circuit metadata with the results it returns from execution of that circuit.
Return type
dict
num_ancillas
Return the number of ancilla qubits.
Return type
int
num_clbits
Return number of classical bits.
Return type
int
num_parameters
The number of parameter objects in the circuit.
Return type
int
num_qubits
Return number of qubits.
Return type
int
op_start_times
Return a list of operation start times.
This attribute is enabled once one of scheduling analysis passes runs on the quantum circuit.
Return type
List
[int
]
Returns
List of integers representing instruction start times. The index corresponds to the index of instruction in QuantumCircuit.data
.
Raises
AttributeError – When circuit is not scheduled.
parameters
The parameters defined in the circuit.
This attribute returns the Parameter
objects in the circuit sorted alphabetically. Note that parameters instantiated with a ParameterVector
are still sorted numerically.
Examples
The snippet below shows that insertion order of parameters does not matter.
>>> from qiskit.circuit import QuantumCircuit, Parameter
>>> a, b, elephant = Parameter("a"), Parameter("b"), Parameter("elephant")
>>> circuit = QuantumCircuit(1)
>>> circuit.rx(b, 0)
>>> circuit.rz(elephant, 0)
>>> circuit.ry(a, 0)
>>> circuit.parameters # sorted alphabetically!
ParameterView([Parameter(a), Parameter(b), Parameter(elephant)])
Bear in mind that alphabetical sorting might be unituitive when it comes to numbers. The literal “10” comes before “2” in strict alphabetical sorting.
>>> from qiskit.circuit import QuantumCircuit, Parameter
>>> angles = [Parameter("angle_1"), Parameter("angle_2"), Parameter("angle_10")]
>>> circuit = QuantumCircuit(1)
>>> circuit.u(*angles, 0)
>>> circuit.draw()
┌─────────────────────────────┐
q: ┤ U(angle_1,angle_2,angle_10) ├
└─────────────────────────────┘
>>> circuit.parameters
ParameterView([Parameter(angle_1), Parameter(angle_10), Parameter(angle_2)])
To respect numerical sorting, a ParameterVector
can be used.
>>> from qiskit.circuit import QuantumCircuit, Parameter, ParameterVector
>>> x = ParameterVector("x", 12)
>>> circuit = QuantumCircuit(1)
>>> for x_i in x:
... circuit.rx(x_i, 0)
>>> circuit.parameters
ParameterView([
ParameterVectorElement(x[0]), ParameterVectorElement(x[1]),
ParameterVectorElement(x[2]), ParameterVectorElement(x[3]),
..., ParameterVectorElement(x[11])
])
Return type
ParameterView
Returns
The sorted Parameter
objects in the circuit.
prefix
Default value: 'circuit'