qit.ho.cx

qit.ho.cx(s=1.0, n=30)

Bosonic controlled addition operator.

Parameters

• s (float) – scale factor

• n (int) – truncation dimension

Returns

controlled addition operator

Return type

array[complex]

Returns the n-dimensional approximation for the bosonic two-mode controlled addition operator

\[CX(s) := \exp\left(-i s Q \otimes P\right)\]

in the number basis. In the position basis it has the effect

\[CX(s)\ket{x_1, x_2}_x = \ket{x_1, x_2 + s x_1}_x.\]