SXGate#

class qiskit.circuit.library.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 ├
     └────┘

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.

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)[source]#

Return a (multi-)controlled-SX gate.

One control returns a CSX gate.

ParamĂštres:

  • 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.

Renvoie:

controlled version of this gate.

Type renvoyé:

ControlledGate

inverse()[source]#

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