qat.lang.S

qat.lang.S

Definition of the \(S\) 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, S

@qrout
def circ():
    S(0)

Control gate

from qat.lang import qrout, S

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

Multi-controlled gate

from qat.lang import qrout, S

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

Reverse gate

from qat.lang import qrout, S

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

This \(S\) gate is defined by:

\[\begin{split}\begin{vmatrix} 1 & 0 \\ 0 & i \\ \end{vmatrix}\end{split}\]