qit.gate.dist

qit.gate.dist(A, B)

Distance between two unitary Lmaps.

Parameters

• A (Lmap) – unitary operator

• B (Lmap) – unitary operator

Returns

squared Frobenius norm distance between the unitaries, disregarding global phase

Return type

float

$$\mathrm{dist}(A,B)=\underset{\varphi \in \mathbb{R}}{inf}\Vert A-e^{i\varphi }B{\Vert }_F^2=2({\dim }_A-|\mathrm{Tr}(A^{†}B)|)$$