# 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

, Volume 5 (3) – Feb 25, 2015
8 pages

/lp/springer-journals/relative-operator-entropy-related-with-the-spectral-geometric-mean-I6NYLcDQtM
Publisher
Springer Journals
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