qat.lang.vendors.ECR

qat.lang.vendors.ECR

Definition of the \(ECR\) gate (of arity \(2\)). 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 ECR

@qrout
def circ():
    ECR(0, 1)

Control gate

from qat.lang import qrout
from qat.lang.vendors import ECR

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

Multi-controlled gate

from qat.lang import qrout
from qat.lang.vendors import ECR

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

Reverse gate

from qat.lang import qrout
from qat.lang.vendors import ECR

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

This \(ECR\) gate is defined by:

\[\begin{split}\frac{1}{\sqrt{2}} \begin{vmatrix} 0 & 0 & 1 & i \\ 0 & 0 & i & 1 \\ 1 & -i & 0 & 0 \\ -i & 1 & 0 & 0 \\ \end{vmatrix}\end{split}\]