SXGate¶

class SXGate(label=None)[source]¶

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 ├
     └────┘

নোট

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

decompositions¶: Get the decompositions of the instruction from the SessionEquivalenceLibrary.