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Quantum hypothesis testing with group symmetry

Authors
  • Hiai, Fumio
  • Mosonyi, Milan
  • Hayashi, Masahito
Type
Published Article
Publication Date
Apr 18, 2009
Submission Date
Apr 04, 2009
Identifiers
DOI: 10.1063/1.3234186
Source
arXiv
License
Yellow
External links

Abstract

The asymptotic discrimination problem of two quantum states is studied in the setting where measurements are required to be invariant under some symmetry group of the system. We consider various asymptotic error exponents in connection with the problems of the Chernoff bound, the Hoeffding bound and Stein's lemma, and derive bounds on these quantities in terms of their corresponding statistical distance measures. A special emphasis is put on the comparison of the performances of group-invariant and unrestricted measurements.

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