deltakit.circuit.gates.SQRT_Y

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

Bases: OneQubitCliffordGate[T]

Principal square root of Y gate. Phases the amplitude of |-i> by i. Equivalent to S then H then S then H then S_DAG.

Parameters:

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

Notes

Stabilizer Generators:

X -> -Z

Z -> +X

Bloch Rotation:

Axis: +Y

Angle: 90 degrees

Unitary Matrix:

\[\begin{split}\frac{1}{2} \begin{pmatrix} 1+i & -1-i \\ 1+i & 1+i \end{pmatrix}\end{split}\]

Methods

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