qat.lang.SQRTSWAP

qat.lang.SQRTSWAP

Definition of the \(SQRTSWAP\) gate (of arity \(2\)). 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, SQRTSWAP

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

Control gate

from qat.lang import qrout, SQRTSWAP

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

Multi-controlled gate

from qat.lang import qrout, SQRTSWAP

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

Reverse gate

from qat.lang import qrout, SQRTSWAP

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

This \(SQRTSWAP\) gate is defined by:

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