Markov property of Gaussian states of canonical commutation relation algebras

DOI10.1063/1.3253974zbMath1304.81104OpenAlexW2034775151MaRDI QIDQ3583715

József Pitrik, Dénes Petz

Publication date: 17 August 2010

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

Full work available at URL: https://semanticscholar.org/paper/5b473b30a2de9b6c9d9b3d8bfee5f95503c641b0

zbMATH Keywords

entropymatrix algebraMarkov processes

Mathematics Subject Classification ID

Applications of selfadjoint operator algebras to physics (46L60) Applications of functional analysis in quantum physics (46N50) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items (2)

Freedman's theorem for unitarily invariant states on the CCR algebra ⋮ GAUSSIAN GEOMETRIC DISCORD

Cites Work

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• Finitely correlated states on quantum spin chains
• Entropy, the central limit theorem and the algebra of the canonical commutation relation
• The noncommutative Markovian property
• Structure of states which satisfy strong subadditivity of quantum entropy with equality
• Quantum information theory and quantum statistics.
• Quasi-free states of the C.C.R.-algebra and Bogoliubov transformations
• Unitary equivalence of Fock representations on the Weyl algebra
• On factor representations and the \(C^ *\)-algebra of canonical commutation relations
• Markovian quasifree states on canonical anticommutation relation algebras
• On the relative entropy of discrete-time Markov processes with given end-point densities

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