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

$$CX(s):=\exp (-isQ\otimes P)$$

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

$$CX(s){|x_1,x_2⟩}_x={|x_1,x_2+s{x}_1⟩}_x.$$