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Exploiting variational formulas for quantum relative entropy

Berta, Mario and Fawzi, Omar and Tomamichel, Marco (2016) Exploiting variational formulas for quantum relative entropy. In: 2016 IEEE International Symposium on Information Theory (ISIT). IEEE , Piscataway, NJ, pp. 2844-2848. ISBN 978-1-5090-1807-9.

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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.

Item Type:Book Section
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URLURL TypeDescription DOIArticle
Berta, Mario0000-0002-0428-3429
Tomamichel, Marco0000-0001-5410-3329
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.
Group:Institute for Quantum Information and Matter
Record Number:CaltechAUTHORS:20160824-093212627
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Official Citation:M. Berta, O. Fawzi and M. Tomamichel, "Exploiting variational formulas for quantum relative entropy," 2016 IEEE International Symposium on Information Theory (ISIT), Barcelona, Spain, 2016, pp. 2844-2848. doi: 10.1109/ISIT.2016.7541818 URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:69890
Deposited By: Tony Diaz
Deposited On:24 Aug 2016 22:16
Last Modified:11 Nov 2021 04:21

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