qat.lang.vendors.RXX

qat.lang.vendors.RXX

Definition of the \(RXX\) gate (of arity \(2\)). This gate is not included in the default gate set of myQLM, but in the gate set aqt_gate_set().

Apply gate

from qat.lang import qrout
from qat.lang.vendors import RXX

@qrout
def circ(alpha):
    RXX(alpha)(0, 1)

Control gate

from qat.lang import qrout
from qat.lang.vendors import RXX

@qrout
def ctrl_circ(alpha):
    RXX(alpha).ctrl()(0, 1, 2)

Multi-controlled gate

from qat.lang import qrout
from qat.lang.vendors import RXX

@qrout
def multi_ctrl_circ(alpha):
    RXX(alpha).ctrl(2)(0, 1, 2, 3)

Reverse gate

from qat.lang import qrout
from qat.lang.vendors import RXX

@qrout
def reversed_circ(alpha):
    RXX(alpha).dag()(0, 1)

This \(RXX\) gate is defined by:

\[\begin{split}\forall \theta \in\rm I\!R: \begin{vmatrix} cos(\theta/2) & 0 & 0 & -i \cdot sin(\theta/2) \\ 0 & cos(\theta/2) & -i \cdot sin(\theta/2) & 0 \\ 0 & -i \cdot sin(\theta/2) & cos(\theta/2) & 0 \\ -i \cdot sin(\theta/2) & 0 & 0 & cos(\theta/2) \\ \end{vmatrix}\end{split}\]