We provide explicit quantum circuits for the non-destructive deterministic discrimination of Bell states in the Hilbert space $C^{ d^{ n}}$, where $d$ is qudit dimension. We discuss a method for generalizing this to non-destructive measurements on any set of orthogonal states distributed among $n$ parties. From the practical viewpoint, we show that such non-destructive measurements can help lower quantum communication complexity under certain conditions.
Categories: quant-ph