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arXiv · 0707.2020

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

Fumio Hiai·Milan Mosonyi·Tomohiro Ogawa
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Abstract

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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Fumio Hiai, Milan Mosonyi, Tomohiro Ogawa. 2007-11-03. Error exponents in hypothesis testing for correlated states on a spin chain. https://doi.org/10.1063/1.2872276

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