Unitary-process discrimination with error margin
arXiv:0912.2610 · doi:10.1103/PhysRevA.81.062327
Abstract
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.
9 pages, 3 figures, presentation improved, typos corrected, final version
References in corpus (5)
- The Perfect Distinguishability of Quantum Operations
- State discrimination with error margin and its locality
- Discrimination with error margin between two states - Case of general occurrence probabilities -
- Optimal bounded-error strategies for projective measurements in non-orthogonal state discrimination
- Fourier Analytic Approach to Phase Estimation
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- Quantum-state comparison and discrimination
- Indefinite causal order strategy does not improve the estimation of group action