deltakit.circuit.gates.SQRT_Y_DAG

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

Bases: OneQubitCliffordGate[T]

Adjoint of the principal square root of Y gate. Phases the amplitude of |-i> by -i. Equivalent to S then H then S_DAG 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_DAG.stim_targets	Convert the qubits this gate acts on to equivalent stim targets.
SQRT_Y_DAG.transform_qubits	Transform this gates's qubits according to the id mapping.