### 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 language | English |
---|---|

Article number | 072104 |

Journal | Journal of Mathematical Physics |

Volume | 49 |

Issue number | 7 |

DOIs | |

Publication status | Published - 2008 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Mathematical Physics

### Cite this

*Journal of Mathematical Physics*,

*49*(7), [072104]. https://doi.org/10.1063/1.2953473

**Asymptotic distinguishability measures for shift-invariant quasifree states of fermionic lattice systems.** / Mosonyi, M.; Hiai, Fumio; Ogawa, Tomohiro; Fannes, Mark.

Research output: Contribution to journal › Article

*Journal of Mathematical Physics*, vol. 49, no. 7, 072104. https://doi.org/10.1063/1.2953473

}

TY - JOUR

T1 - Asymptotic distinguishability measures for shift-invariant quasifree states of fermionic lattice systems

AU - Mosonyi, M.

AU - Hiai, Fumio

AU - Ogawa, Tomohiro

AU - Fannes, Mark

PY - 2008

Y1 - 2008

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=49249084703&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=49249084703&partnerID=8YFLogxK

U2 - 10.1063/1.2953473

DO - 10.1063/1.2953473

M3 - Article

VL - 49

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 7

M1 - 072104

ER -