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Relative operator entropy related with the spectral geometric mean

Relative operator entropy related with the spectral geometric mean We consider the relative operator entropy constructed by the spectral geometric mean and see its properties analogous to those of the Tsallis relative operator entropy by the usual geometric mean. Furthermore, we define the quantum relative entropy constructed by the spectral geometric mean and derive its subadditivity under tensor product. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Analysis and Mathematical Physics Springer Journals

Relative operator entropy related with the spectral geometric mean

Analysis and Mathematical Physics , Volume 5 (3) – Feb 25, 2015

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Publisher
Springer Journals
Copyright
Copyright © 2015 by Springer Basel
Subject
Mathematics; Analysis; Mathematical Methods in Physics
ISSN
1664-2368
eISSN
1664-235X
DOI
10.1007/s13324-015-0099-z
Publisher site
See Article on Publisher Site

Abstract

We consider the relative operator entropy constructed by the spectral geometric mean and see its properties analogous to those of the Tsallis relative operator entropy by the usual geometric mean. Furthermore, we define the quantum relative entropy constructed by the spectral geometric mean and derive its subadditivity under tensor product.

Journal

Analysis and Mathematical PhysicsSpringer Journals

Published: Feb 25, 2015

References