qrisp.QuantumCircuit.prx

QuantumCircuit.prx(alpha: FloatLike, beta: FloatLike, qubits: QubitLike)

Instruct a PRX (Phased-RX) gate.

The unitary is

\[\begin{split}\text{PRX}(\alpha, \beta) = R_Z(\beta) R_X(\alpha) R_Z(-\beta) = \begin{pmatrix} \cos\!\tfrac{\alpha}{2} & -i e^{-i\beta}\sin\!\tfrac{\alpha}{2} \\ -i e^{i\beta}\sin\!\tfrac{\alpha}{2} & \cos\!\tfrac{\alpha}{2} \end{pmatrix}\end{split}\]

Parameters:

alphaFloatLike

Rotation angle in radians. Controls the amount of rotation.

betaFloatLike

Phase angle in radians. Selects the rotation axis in the XY plane.

qubitsQubitLike

The qubit to apply the gate on.