qat.lang.H

qat.lang.H

Definition of the \(H\) gate (of arity \(1\)). This gate is part of the default gate set of myQLM and is defined in the default gate set default_gate_set().

Apply gate

from qat.lang import qrout, H

@qrout
def circ():
    H(0)

Control gate

from qat.lang import qrout, H

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

Multi-controlled gate

from qat.lang import qrout, H

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

Reverse gate

from qat.lang import qrout, H

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

This \(H\) gate is defined by:

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