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GRX

class GRX(num_qubits, theta)[Quellcode]

Bases: GR

Global RX gate.

Circuit symbol:

     ┌──────────┐
q_0: ┤0         ├
     │          │
q_1: ┤1  GRX(ϴ) ├
     │          │
q_2: ┤2         ├
     └──────────┘

The global RX gate is native to atomic systems (ion traps, cold neutrals). The global RX can be applied to multiple qubits simultaneously.

In the one-qubit case, this is equivalent to an RX(theta) operations, and is thus reduced to the RXGate. The global RX gate is a direct sum of RX operations on all individual qubits.

\[GRX(\theta) = \exp(-i \sum_{i=1}^{n} X_i \theta/2)\]

Expanded Circuit:

(Source code, png, hires.png, pdf)

../_images/qiskit-circuit-library-GRX-1.png

Create a new Global RX (GRX) gate.

Parameter
  • num_qubits (int) – number of qubits.

  • theta (float) – rotation angle about x-axis

Attributes

ancillas

Returns a list of ancilla bits in the order that the registers were added.

Rückgabetyp

List[AncillaQubit]

calibrations

Return calibration dictionary.

The custom pulse definition of a given gate is of the form {'gate_name': {(qubits, params): schedule}}

Rückgabetyp

dict

clbits

Returns a list of classical bits in the order that the registers were added.

Rückgabetyp

List[Clbit]

data

Return the circuit data (instructions and context).

Rückgabe

a list-like object containing the CircuitInstructions for each instruction.

Rückgabetyp

QuantumCircuitData

extension_lib = 'include "qelib1.inc";'
global_phase

Return the global phase of the circuit in radians.

Rückgabetyp

Union[ParameterExpression, float]

header = 'OPENQASM 2.0;'
instances = 2017
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.

Rückgabetyp

dict

num_ancillas

Return the number of ancilla qubits.

Rückgabetyp

int

num_clbits

Return number of classical bits.

Rückgabetyp

int

num_parameters

The number of parameter objects in the circuit.

Rückgabetyp

int

num_qubits

Return number of qubits.

Rückgabetyp

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.

Rückgabetyp

List[int]

Rückgabe

List of integers representing instruction start times. The index corresponds to the index of instruction in QuantumCircuit.data.

Verursacht

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])
])
Rückgabetyp

ParameterView

Rückgabe

The sorted Parameter objects in the circuit.

prefix = 'circuit'
qubits

Returns a list of quantum bits in the order that the registers were added.

Rückgabetyp

List[Qubit]