SXGate

class SXGate(label=None)

Bases: qiskit.circuit.gate.Gate

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

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 ├
     └────┘

Note

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

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

Return a (multi-)controlled-SX gate.

One control returns a CSX gate.

Parameters

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.

Returns

controlled version of this gate.

Return type

ControlledGate

SXGate.inverse()

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

Get the decompositions of the instruction from the SessionEquivalenceLibrary.

Return definition in terms of other basic gates.

Get the duration.

Return instruction label

Return type

str

return instruction params.

Get the time unit of duration.

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