SXGate

class qiskit.circuit.library.SXGate(label=None)

Bases: Gate

The single-qubit Sqrt(X) gate (\(\sqrt{X}\)).

Can be applied to a QuantumCircuit with the sx() method.

Matrix Representation:

\[\begin{split}\sqrt{X} = \frac{1}{2} \begin{pmatrix} 1 + i & 1 - i \\ 1 - i & 1 + i \end{pmatrix}\end{split}\]

Circuit symbol:

     ┌────┐
q_0: ┤ √X ├
     └────┘

Nota

A global phase difference exists between the definitions of \(RX(\pi/2)\) and \(\sqrt{X}\).

\[\begin{split}RX(\pi/2) = \frac{1}{\sqrt{2}} \begin{pmatrix} 1 & -i \\ -i & 1 \end{pmatrix} = e^{-i \pi/4} \sqrt{X}\end{split}\]

Create new SX gate.

Attributes

condition_bits

Get Clbits in condition.

decompositions

Get the decompositions of the instruction from the SessionEquivalenceLibrary.

definition

Return definition in terms of other basic gates.

duration

Get the duration.

label

Return instruction label

name

Return the name.

num_clbits

Return the number of clbits.

num_qubits

Return the number of qubits.

params

return instruction params.

unit

Get the time unit of duration.

Methods

control(num_ctrl_qubits=1, label=None, ctrl_state=None)

Return a (multi-)controlled-SX gate.

One control returns a CSX gate.

Parámetros:

• num_ctrl_qubits (int) – number of control qubits.

• label (str or None) – An optional label for the gate [Default: None]

• ctrl_state (int or str or None) – control state expressed as integer, string (e.g. “110”), or None. If None, use all 1s.

Devuelve:

controlled version of this gate.

Tipo del valor devuelto:

ControlledGate

inverse()

Return inverse SX gate (i.e. SXdg).