qit.ho.rotate

qit.ho.rotate(phi, n=30)

Bosonic rotation operator.

Parameters

• phi (float) – rotation angle

• n (int) – truncation dimension

Returns

rotation operator

Return type

array[complex]

Returns the n-dimensional approximation for the bosonic phase space rotation operator

$$R(\varphi ):=\exp \left(i\varphi a^{†}a\right)=\exp \left(i\frac{\varphi }{2}(Q^2+P^2-\mathrm{I})\right)$$

in the number basis.