Please use this identifier to cite or link to this item: https://doi.org/10.1103/PhysRevA.81.062327
Title: Unitary-process discrimination with error margin
Authors: Hashimoto, T.
Hayashi, A.
Hayashi, M. 
Horibe, M.
Issue Date: 21-Jun-2010
Citation: Hashimoto, T., Hayashi, A., Hayashi, M., Horibe, M. (2010-06-21). Unitary-process discrimination with error margin. Physical Review A - Atomic, Molecular, and Optical Physics 81 (6) : -. ScholarBank@NUS Repository. https://doi.org/10.1103/PhysRevA.81.062327
Abstract: We investigate a discrimination scheme between unitary processes. By introducing a margin for the probability of an 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 thoroughly analyze how entanglement with an auxiliary system improves discrimination performance. © 2010 The American Physical Society.
Source Title: Physical Review A - Atomic, Molecular, and Optical Physics
URI: http://scholarbank.nus.edu.sg/handle/10635/126342
ISSN: 10502947
DOI: 10.1103/PhysRevA.81.062327
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