“…2(a)]. The latter are among the indispensable processing units in linear optics, quantum computation, quantum communication, and quantum foundations [3,5,[20][21][22][23]. Their optimal operation, based on constructive and destructive interference in the output arms (denoted as ±), respectively, assumes identical input states, where a phase shift ϕ in one input arm may determine the output probabilities, i.e., in the idealized case, prob ± (ϕ) = 1 2 (1 ± sin ϕ) (we assume balanced beam splitters).…”