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

M Mosonyi; F Hiai; T Ogawa; M Fannes

doi:10.1063/1.2953473

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

M Mosonyi, F Hiai, T Ogawa, M Fannes

School of Mathematics

Research output: Contribution to journal › Article (Academic Journal) › peer-review

21 Citations (Scopus)

Abstract

We apply the recent results of Hiai et al. [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 Szegő’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.

Translated title of the contribution	Asymptotic distinguishability measures for shift-invariant quasi-free states of fermionic lattice systems
Original language	English
Pages (from-to)	072104 - 072114
Number of pages	11
Journal	Journal of Mathematical Physics
Volume	49, issue 7
DOIs	https://doi.org/10.1063/1.2953473
Publication status	Published - Jul 2008

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Publisher: AIP

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title = "Asymptotic distinguishability measures for shift-invariant quasi-free states of fermionic lattice systems",

abstract = "We apply the recent results of Hiai et al. [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 Szeg{\H o}{\textquoteright}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.",

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AU - Mosonyi, M

AU - Hiai, F

AU - Ogawa, T

AU - Fannes, M

N1 - Publisher: AIP

PY - 2008/7

Y1 - 2008/7

N2 - We apply the recent results of Hiai et al. [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 Szegő’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.

AB - We apply the recent results of Hiai et al. [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 Szegő’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.

U2 - 10.1063/1.2953473

DO - 10.1063/1.2953473

M3 - Article (Academic Journal)

VL - 49, issue 7

SP - 72104

EP - 72114

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

ER -

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

Abstract

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