Asymptotic distinguishability measures for shift-invariant quasifree states of fermionic lattice systems

Milán Mosonyi, Fumio Hiai, Tomohiro Ogawa, Mark Fannes

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

We apply the recent results of Hiai [J. Math. Phys. 49, 032112 (2008)] to the asymptotic hypothesis testing problem of locally faithful shift-invariant quasifree states on a CAR algebra. We use a multivariate extension of Szego's theorem to show the existence of the mean Chernoff and Hoeffding bounds and the mean relative entropy and show that these quantities arise as the optimal error exponents in suitable settings.

Original languageEnglish
Article number072104
JournalJournal of Mathematical Physics
Volume49
Issue number7
DOIs
Publication statusPublished - Aug 18 2008

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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