deltakit.circuit.gates.XCX

class deltakit.circuit.gates.XCX(control: UT | T, target: VT | T, *, tag: str | None = None)

Bases: ControlledGate[Qubit[T], Qubit[T]], SymmetricTwoQubitGate[Qubit[T]]

The X-controlled X gate. First qubit is the control, second qubit is the target. Applies an X gate to the target if the control is in the |-> state.

Notes

Negates the amplitude of the |-,-> state.

Stabilizer Generators:

X_ -> +X_

Z_ -> +ZX

_X -> +_X

_Z -> +XZ

Unitary Matrix:

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

Methods

XCX.from_consecutive	Yield an class instance for each pair in a flattened sequence of data.
XCX.stim_targets	Get the stim gate targets which define this operation.
XCX.transform_qubits	Transform this gates's qubits according to the id mapping.