Hypothesis testing for Gaussian states on bosonic lattices

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.

22 pages, submitted version

References in corpus (9)

• The Quantum Chernoff Bound
• Error Exponent in Asymmetric Quantum Hypothesis Testing and Its Application to Classical-Quantum Channel coding
• Computable bounds for the discrimination of Gaussian states
• The quantum Chernoff bound as a measure of distinguishability between density matrices: application to qubit and Gaussian states
• The Converse Part of The Theorem for Quantum Hoeffding Bound
• Error exponents in hypothesis testing for correlated states on a spin chain
• Large deviations and Chernoff bound for certain correlated states on a spin chain
• Asymptotic distinguishability measures for shift-invariant quasi-free states of fermionic lattice systems
• Large Deviations in Quantum Spin Chain

Cited by in corpus (2)

• The Chernoff lower bound for symmetric quantum hypothesis testing
• Generalized relative entropies and the capacity of classical-quantum channels