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Entropy 2017, 19(1), 1; doi:10.3390/e19010001

Maximum Entropy Models for Quantum Systems

Faculty of Mathematics and Computer Science, Łódź University, 90-238 Łódź, Poland
These authors contributed equally to this work.
Author to whom correspondence should be addressed.
Academic Editor: Adom Giffin
Received: 28 October 2016 / Revised: 3 December 2016 / Accepted: 19 December 2016 / Published: 22 December 2016
View Full-Text   |   Download PDF [237 KB, uploaded 22 December 2016]


We show that for a finite von Neumann algebra, the states that maximise Segal’s entropy with a given energy level are Gibbs states. This is a counterpart of the classical result for the algebra of all bounded linear operators on a Hilbert space and von Neumann entropy. View Full-Text
Keywords: entropy; von Neumann algebra; Gibbs states entropy; von Neumann algebra; Gibbs states
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Łuczak, A.; Podsędkowska, H.; Seweryn, M. Maximum Entropy Models for Quantum Systems. Entropy 2017, 19, 1.

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