qat.lang.T

qat.lang.T

Definition of the \(T\) 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, T

@qrout
def circ():
    T(0)

Control gate

from qat.lang import qrout, T

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

Multi-controlled gate

from qat.lang import qrout, T

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

Reverse gate

from qat.lang import qrout, T

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

This \(T\) gate is defined by:

\[\begin{split}\begin{vmatrix} 1 & 0 \\ 0 & e^{i\frac{\pi}{4}} \\ \end{vmatrix}\end{split}\]