Skip to main contentIBM Quantum Documentation
You are viewing the API reference for an old version of Qiskit SDK. Switch to latest version

SXdgGate

SXdgGate(label=None) GitHub(opens in a new tab)

Bases: qiskit.circuit.gate.Gate

The inverse single-qubit Sqrt(X) gate.

X=12(1i1+i1+i1i)\begin{split}\sqrt{X}^{\dagger} = \frac{1}{2} \begin{pmatrix} 1 - i & 1 + i \\ 1 + i & 1 - i \end{pmatrix}\end{split}
Note

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

RX(π/2)=12(1ii1)=eipi/4X\begin{split}RX(-\pi/2) = \frac{1}{\sqrt{2}} \begin{pmatrix} 1 & i \\ i & 1 \end{pmatrix} = e^{-i pi/4} \sqrt{X}^{\dagger}\end{split}

Create new SXdg gate.


Methods Defined Here

inverse

SXdgGate.inverse()

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


Attributes

condition_bits

Get Clbits in condition.

Return type

List[Clbit]

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

Return type

str

params

return instruction params.

unit

Get the time unit of duration.

Was this page helpful?