SGate

class SGate(label=None)

Bases: Gate

Single qubit S gate (Z**0.5).

It induces a \(\pi/2\) phase, and is sometimes called the P gate (phase).

This is a Clifford gate and a square-root of Pauli-Z.

Can be applied to a QuantumCircuit with the s() method.

Matrix Representation:

\[\begin{split}S = \begin{pmatrix} 1 & 0 \\ 0 & i \end{pmatrix}\end{split}\]

Circuit symbol:

     ┌───┐
q_0: ┤ S ├
     └───┘

Equivalent to a \(\pi/2\) radian rotation about the Z axis.

Create new S gate.

Methods Defined Here

inverse	Return inverse of S (SdgGate).
power	Raise gate to a power.

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

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.