deltakit.circuit.gates.H_XY

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

Bases: OneQubitCliffordGate[T]

A variant of the Hadamard gate that swaps the X and Y axes (instead of X and Z).

Parameters:

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

Notes

Stabilizer Generators:

X -> +Y

Z -> -Z

Bloch Rotation:

Axis: +X+Y

Angle: 180 degrees

Unitary Matrix:

\[\begin{split}\frac{1}{\sqrt{2}} \begin{pmatrix} 0 & 1-i \\ 1+i & 0 \end{pmatrix}\end{split}\]

Methods

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