Quantum hypothesis testing with group symmetry

Fumio Hiai, Milán Mosonyi, Masahito Hayashi

Research output: Contribution to journalArticle

13 Citations (Scopus)

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.

Original languageEnglish
Article number103304
JournalJournal of Mathematical Physics
Volume50
Issue number10
DOIs
Publication statusPublished - Nov 10 2009

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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