qat.lang.vendors.SX

qat.lang.vendors.SX

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

Apply gate

from qat.lang import qrout
from qat.lang.vendors import SX

@qrout
def circ():
    SX(0)

Control gate

from qat.lang import qrout
from qat.lang.vendors import SX

@qrout
def ctrl_circ():
    SX.ctrl()(0, 1)

Multi-controlled gate

from qat.lang import qrout
from qat.lang.vendors import SX

@qrout
def multi_ctrl_circ():
    SX.ctrl(2)(0, 1, 2)

Reverse gate

from qat.lang import qrout
from qat.lang.vendors import SX

@qrout
def reversed_circ():
    SX.dag()(0)

This \(SX\) gate is defined by:

\[\begin{split}\frac{1}{2} \begin{vmatrix} 1+i & 1-i \\ 1-i & 1+i \\ \end{vmatrix}\end{split}\]