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

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

2008-02-05

arxiv.org/abs/0802.0567v2

J. Math. Phys. 49 072104 (2008)

Physics

Quantum Physics

Results extended to higher dimensional lattices, title changed. Submitted version

Scientific paper

10.1063/1.2953473

We apply the recent results of F. Hiai, M. Mosonyi and T. Ogawa [arXiv:0707.2020, to appear in J. Math. Phys.] to the asymptotic hypothesis testing problem of locally faithful shift-invariant quasi-free 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.

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