SGate

class SGate(label=None)

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.

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.

Attributes

SGate.decompositions	Get the decompositions of the instruction from the SessionEquivalenceLibrary.
SGate.definition	Return definition in terms of other basic gates.
SGate.label	Return gate label
SGate.params	return instruction params.

Methods

SGate.add_decomposition(decomposition)	Add a decomposition of the instruction to the SessionEquivalenceLibrary.
SGate.assemble()	Assemble a QasmQobjInstruction
SGate.broadcast_arguments(qargs, cargs)	Validation and handling of the arguments and its relationship.
SGate.c_if(classical, val)	Add classical condition on register classical and value val.
SGate.control([num_ctrl_qubits, label, …])	Return controlled version of gate.
SGate.copy([name])	Copy of the instruction.
SGate.inverse()	Return inverse of S (SdgGate).
SGate.is_parameterized()	Return True .IFF.
SGate.mirror()	For a composite instruction, reverse the order of sub-gates.
SGate.power(exponent)	Creates a unitary gate as gate^exponent.
SGate.qasm()	Return a default OpenQASM string for the instruction.
SGate.repeat(n)	Creates an instruction with gate repeated n amount of times.
SGate.to_matrix()	Return a numpy.array for the S gate.