Unitary-process discrimination with error margin

作者:Hashimoto T*; Hayashi A; Hayashi M; Horibe M
来源:Physical Review A, 2010, 81(6): 062327.
DOI:10.1103/PhysRevA.81.062327

摘要

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.

  • 出版日期2010-6-21