deltakit.circuit.gates.S

class deltakit.circuit.gates.S(qubit: Qubit[T] | T, *, tag: str | None = None)

Bases: OneQubitCliffordGate[T]

Principal square root of Z gate. Phases the amplitude of |1> by i.

Parameters:

qubit (Qubit[T] | T) – The qubit that this gate acts on.

Notes

Stabilizer Generators:

X -> +Y

Z -> +Z

Bloch Rotation:

Axis: +Z

Angle: 90 degrees

Unitary Matrix:

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

Methods

S.stim_targets	Convert the qubits this gate acts on to equivalent stim targets.
S.transform_qubits	Transform this gates's qubits according to the id mapping.