CaltechAUTHORS
Published July 2016 | Version public
Book Section - Chapter Metadata-only

Exploiting variational formulas for quantum relative entropy

Creators

  • 1. ROR icon California Institute of Technology
  • 2. ROR icon École Normale Supérieure de Lyon
  • 3. ROR icon University of Sydney

Abstract

The relative entropy is the basic concept underlying various information measures like entropy, conditional entropy and mutual information. Here, we discuss how to make use of variational formulas for measured relative entropy and quantum relative entropy for understanding the additivity properties of various entropic quantities that appear in quantum information theory. In particular, we show that certain lower bounds on quantum conditional mutual information are superadditive.

Additional Information

© 2016 IEEE. We acknowledge discussions with Fernando Brandão, Douglas Farenick and Hamza Fawzi. Most of this work was done while OF was also with the Department of Computing and Mathematical Sciences at CalTech. MT would like to thank the IQIM at CalTech and John Preskill for his hospitality during the time this project was conceived.

Additional details

Identifiers

Eprint ID
69890
DOI
10.1109/ISIT.2016.7541818
Resolver ID
CaltechAUTHORS:20160824-093212627

Related works

Describes
10.1109/ISIT.2016.7541818 (DOI)

Dates

Created
2016-08-24
Created from EPrint's datestamp field
Updated
2021-11-11
Created from EPrint's last_modified field

Caltech Custom Metadata

Caltech groups
Institute for Quantum Information and Matter