H-theorem in quantum physics

Remarkable progress of quantum information theory (QIT) allowed to formulate mathematical theorems for conditions that data-transmitting or data-processing occurs with a non-negative entropy gain. However, relation of these results formulated in terms of entropy gain in quantum channels to temporal...

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Bibliographic Details
Published in:Scientific reports 2016-09, Vol.6 (1), p.32815-32815, Article 32815
Main Authors: Lesovik, G. B., Lebedev, A. V., Sadovskyy, I. A., Suslov, M. V., Vinokur, V. M.
Format: Article
Language:English
Subjects:
639/766/483/1139
639/766/483/2802
639/766/483/481
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Data processing
Entropy
Humanities and Social Sciences
Information theory
multidisciplinary
Physics
Quantum physics
Science
Thermodynamics
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Summary:Remarkable progress of quantum information theory (QIT) allowed to formulate mathematical theorems for conditions that data-transmitting or data-processing occurs with a non-negative entropy gain. However, relation of these results formulated in terms of entropy gain in quantum channels to temporal evolution of real physical systems is not thoroughly understood. Here we build on the mathematical formalism provided by QIT to formulate the quantum H -theorem in terms of physical observables. We discuss the manifestation of the second law of thermodynamics in quantum physics and uncover special situations where the second law can be violated. We further demonstrate that the typical evolution of energy-isolated quantum systems occurs with non-diminishing entropy.
ISSN:2045-2322
2045-2322
DOI:10.1038/srep32815