Asymptotic distinguishability measures for shift-invariant quasi-free states of fermionic lattice systems
Quantum Physics
2009-11-13 v2 Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.0802.0567,
title = {Asymptotic distinguishability measures for shift-invariant quasi-free states of fermionic lattice systems},
author = {M. Mosonyi and F. Hiai and T. Ogawa and M. Fannes},
journal= {arXiv preprint arXiv:0802.0567},
year = {2009}
}
Comments
Results extended to higher dimensional lattices, title changed. Submitted version