Hypothesis testing for Gaussian states on bosonic lattices
classification
🪐 quant-ph
math-phmath.MP
keywords
gaussianhypothesesstatesasymptoticbosonicbosonsboundscase
read the original abstract
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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