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# SXGate¶

class SXGate(label=None)[fuente]

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.

Methods Defined Here

 control Return a (multi-)controlled-SX gate. inverse Return inverse SX gate (i.e.

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.