H-theorem for systems with an interaction invariant distribution function

DOI10.1134/S1995080219100184zbMath1430.81018arXiv1910.13035MaRDI QIDQ2284228

G. B. Lesovik, A. V. Lebedev

Publication date: 14 January 2020

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.13035

zbMATH Keywords

quantum channelsquantum informationunitality

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Operator spaces and completely bounded maps (46L07) Quantum measurement theory, state operations, state preparations (81P15) Irreversible thermodynamics, including Onsager-Machlup theory (82C35) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum state spaces, operational and probabilistic concepts (81P16) Quantum entropies (81P17) Quantum channels, fidelity (81P47)

Cites Work

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• Quantum systems, channels, information. A mathematical introduction.
• The entropy gain of infinite-dimensional quantum evolutions
• Completely positive maps and entropy inequalities
• On the generators of quantum dynamical semigroups
• Estimating the output entropy of a tensor product of two quantum channels

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