Unitary-process discrimination with error margin

Details Unitary-process discrimination with error margin Unitary-process discrimination with error margin

2009-12-14

arxiv.org/abs/0912.2610v3

Phys. Rev. A 81, 062327 (2010)

Physics

Quantum Physics

9 pages, 3 figures, presentation improved, typos corrected, final version

Scientific paper

10.1103/PhysRevA.81.062327

We investigate a discrimination scheme between unitary processes. By introducing a margin for the probability of erroneous guess, this scheme interpolates the two standard discrimination schemes: minimum-error and unambiguous discrimination. We present solutions for two cases. One is the case of two unitary processes with general prior probabilities. The other is the case with a group symmetry: the processes comprise a projective representation of a finite group. In the latter case, we found that unambiguous discrimination is a kind of "all or nothing": the maximum success probability is either 0 or 1. We also closely analyze how entanglement with an auxiliary system improves discrimination performance.

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