Hypothesis testing for Gaussian states on bosonic lattices

Physics – Quantum Physics

Scientific paper

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22 pages, submitted version

Scientific paper

10.1063/1.3085759

The asymptotic state discrimination problem with simple hypotheses is
considered for a cubic lattice of bosons. A complete solution is provided for
the problems of the Chernoff and the Hoeffding bounds and Stein's lemma in the
case when both hypotheses are gauge-invariant Gaussian states with
translation-invariant quasi-free parts.

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