Error exponents in hypothesis testing for correlated states on a spin chain

Details Error exponents in hypothesis testing for correlated states on a spin chain Error exponents in hypothesis testing for correlated states on a spin chain

2007-07-13

arxiv.org/abs/0707.2020v2

J. Math. Phys. 49 032112 (2008)

Physics

Quantum Physics

26 pages; discussions extended, 2 figures added

Scientific paper

10.1063/1.2872276

We study various error exponents in a binary hypothesis testing problem and extend recent results on the quantum Chernoff and Hoeffding bounds for product states to a setting when both the null-hypothesis and the counter-hypothesis can be correlated states on a spin chain. Our results apply to states satisfying a certain factorization property; typical examples are the global Gibbs states of translation-invariant finite-range interactions as well as certain finitely correlated states.

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