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Open Quantum Systems Decoherence
Error exponents in hypothesis testing for correlated states on a spin chain
arXiv
Authors: Fumio Hiai, Milan Mosonyi, Tomohiro Ogawa
Year
2007
Paper ID
49678
Status
Preprint
Abstract Read
~2 min
Abstract Words
71
Citations
N/A
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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- 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...
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