Htheorem in quantum physics
Abstract
Remarkable progress of quantum information theory (QIT) allowed to formulate mathematical theorems for conditions that datatransmitting or dataprocessing occurs with a nonnegative 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 Htheorem 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. Lastly, we further demonstrate that the typical evolution of energyisolated quantum systems occurs with nondiminishing entropy.
 Authors:
 Russian Academy of Sciences (RAS), Moscow (Russian Federation). L.D. Landau Inst. for Theoretical Physics; Federal Inst. of Technology, Zurich (Switzerland). Theoretische Physik
 Federal Inst. of Technology, Zurich (Switzerland). Theoretische Physik
 Argonne National Lab. (ANL), Argonne, IL (United States). Materials Science Division
 Moscow Inst. of Physics and Technology (MIPT), Moscow (Russian Federation)
 Publication Date:
 Research Org.:
 Argonne National Lab. (ANL), Argonne, IL (United States)
 Sponsoring Org.:
 Swiss National Science Foundation (SNSF); USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC22)
 OSTI Identifier:
 1352603
 Grant/Contract Number:
 AC0206CH11357; 140201287
 Resource Type:
 Journal Article: Accepted Manuscript
 Journal Name:
 Scientific Reports
 Additional Journal Information:
 Journal Volume: 6; Journal Issue: 1; Journal ID: ISSN 20452322
 Publisher:
 Nature Publishing Group
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Citation Formats
Lesovik, G. B., Lebedev, A. V., Sadovskyy, I. A., Suslov, M. V., and Vinokur, V. M. Htheorem in quantum physics. United States: N. p., 2016.
Web. doi:10.1038/srep32815.
Lesovik, G. B., Lebedev, A. V., Sadovskyy, I. A., Suslov, M. V., & Vinokur, V. M. Htheorem in quantum physics. United States. doi:10.1038/srep32815.
Lesovik, G. B., Lebedev, A. V., Sadovskyy, I. A., Suslov, M. V., and Vinokur, V. M. 2016.
"Htheorem in quantum physics". United States.
doi:10.1038/srep32815. https://www.osti.gov/servlets/purl/1352603.
@article{osti_1352603,
title = {Htheorem in quantum physics},
author = {Lesovik, G. B. and Lebedev, A. V. and Sadovskyy, I. A. and Suslov, M. V. and Vinokur, V. M.},
abstractNote = {Remarkable progress of quantum information theory (QIT) allowed to formulate mathematical theorems for conditions that datatransmitting or dataprocessing occurs with a nonnegative 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 Htheorem 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. Lastly, we further demonstrate that the typical evolution of energyisolated quantum systems occurs with nondiminishing entropy.},
doi = {10.1038/srep32815},
journal = {Scientific Reports},
number = 1,
volume = 6,
place = {United States},
year = 2016,
month = 9
}
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