qit.gate.mod_inc

qit.gate.mod_inc(x, dim, N=None)

Modular incrementation gate.

Parameters

• x (int) – increment

• dim (tuple[int]) – register dimensions

• N (int) – cutoff dimension, default is prod(dim)

Returns

modular incrementation gate U

Return type

Lmap

$$U:|y⟩\mapsto |y+x(modN)⟩$$

If N is given, we must have N <= prod(dim), and U will act trivially on computational states >= N.