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Quantum weighted entropy and its properties

Authors
  • Suhov, Y.
  • Zohren, S.
Type
Preprint
Publication Date
Nov 04, 2014
Submission Date
Nov 04, 2014
Identifiers
arXiv ID: 1411.0892
Source
arXiv
License
Yellow
External links

Abstract

We introduce quantum weighted entropy in analogy to an earlier notion of (classical) weighted entropy and derive many of its properties. These include the subadditivity, concavity and strong subadditivity property of quantum weighted entropy, as well as an analog of the Araki-Lieb inequality. Interesting byproducts of the proofs are a weighted analog of Klein's inequality and non-negativity of quantum weighted relative entropy. A main difficulty is the fact that the weights in general do not commute with the density matrices.

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