deltakit.circuit.gates.SQRT_X

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

Bases: OneQubitCliffordGate[T]

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

Parameters:

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

Notes

Stabilizer Generators:

X -> +X

Z -> -Y

Bloch Rotation:

Axis: +X

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