qat.lang.I

qat.lang.I

Definition of the \(I\) 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().

from qat.lang import qrout, I

@qrout
def circ():
    I(0)
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
from qat.lang import qrout, I

@qrout
def ctrl_circ():
    I.ctrl()(0, 1)
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
Multi-controlled gate
from qat.lang import qrout, I

@qrout
def multi_ctrl_circ():
    I.ctrl(2)(0, 1, 2)
from qat.lang import qrout, I

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

This \(I\) gate is defined by:

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