qat.lang.vendors.PRX

qat.lang.vendors.PRX

Definition of the \(PRX\) gate (of arity \(1\)). This gate is not included in the default gate set of myQLM, but in the gate set iqm_gate_set(), in the gate set aqt_gate_set().

Apply gate

from qat.lang import qrout
from qat.lang.vendors import PRX

@qrout
def circ(alpha, beta):
    PRX(alpha, beta)(0)

Control gate

from qat.lang import qrout
from qat.lang.vendors import PRX

@qrout
def ctrl_circ(alpha, beta):
    PRX(alpha, beta).ctrl()(0, 1)

Multi-controlled gate

from qat.lang import qrout
from qat.lang.vendors import PRX

@qrout
def multi_ctrl_circ(alpha, beta):
    PRX(alpha, beta).ctrl(2)(0, 1, 2)

Reverse gate

from qat.lang import qrout
from qat.lang.vendors import PRX

@qrout
def reversed_circ(alpha, beta):
    PRX(alpha, beta).dag()(0)

This \(PRX\) gate is defined by:

\[\begin{split}\forall \theta, \phi \in\rm I\!R^2: \begin{vmatrix}cos(\theta/2) & -i \cdot e^{-i \phi} \cdot sin(\theta/2) \\ -i \cdot e^{i \phi} \cdot sin(\theta/2) & cos(\theta/2) \\ \end{vmatrix}\end{split}\]