Exploiting variational formulas for quantum relative entropy
File(s)
Accepted version
Author(s)
Berta, M
Fawzi, O
Tomamichel, M
Type
Conference Paper
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.
Date Issued
2016-08-11
Date Acceptance
2016-07-10
Citation
IEEE International Symposium on Information Theory - Proceedings, 2016, pp.2844-2848
ISBN
9781509018062
ISSN
2157-8095
Publisher
IEEE
Start Page
2844
End Page
2848
Journal / Book Title
IEEE International Symposium on Information Theory - Proceedings
Copyright Statement
© 2016 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Source
2016 IEEE International Symposium on Information Theory (ISIT)
Publication Status
Published
Start Date
2016-07-10
Finish Date
2016-07-15
Coverage Spatial
Barcelona, Spain
Date Publish Online
2016-08-11