Hypothesis testing for Gaussian states on bosonic lattices

DOI10.1063/1.3085759zbMath1187.82012arXiv0808.1450OpenAlexW2037691141MaRDI QIDQ3650464

Milán Mosonyi

Publication date: 14 December 2009

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0808.1450

zbMATH Keywords

Gaussian processesprobabilitylattice theoryboson systems

Mathematics Subject Classification ID

Quantum equilibrium statistical mechanics (general) (82B10) Quantum stochastic calculus (81S25) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Non-Markovian processes: hypothesis testing (62M07)

Related Items (9)

Discriminating quantum states: the multiple Chernoff distance ⋮ Second-order asymptotics for quantum hypothesis testing in settings beyond i.i.d.—quantum lattice systems and more ⋮ QUANTUM HYPOTHESIS TESTING AND NON-EQUILIBRIUM STATISTICAL MECHANICS ⋮ Matrix analysis and quantum information ⋮ Quantum hypothesis testing for Gaussian states: quantum analogues of \(\chi ^{2}\), \(t\)-, and \(F\)-tests ⋮ Asymptotic convertibility of entanglement: An information-spectrum approach to entanglement concentration and dilution ⋮ Quantum hypothesis testing with group symmetry ⋮ Generalized relative entropies and the capacity of classical-quantum channels ⋮ The Chernoff lower bound for symmetric quantum hypothesis testing

Cites Work

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• Error exponents in hypothesis testing for correlated states on a spin chain
• Optimal sequence of quantum measurements in the sense of Stein s lemma in quantum hypothesis testing
• Computable bounds for the discrimination of Gaussian states
• Asymptotic distinguishability measures for shift-invariant quasifree states of fermionic lattice systems

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