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A meta-converse for private communication over quantum channels

Wilde, Mark M. and Tomamichel, Marco and Berta, Mario (2017) A meta-converse for private communication over quantum channels. In: 2017 IEEE International Symposium on Information Theory (ISIT). IEEE , Piscataway, NJ, pp. 291-295. ISBN 978-1-5090-4096-4. https://resolver.caltech.edu/CaltechAUTHORS:20170816-155206778

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Abstract

We establish a converse bounds on the private transmission capabilities of a quantum channel. The main conceptual development builds firmly on the notion of a private state, which is a powerful, uniquely quantum method for simplifying the tripartite picture of privacy involving local operations and public classical communication to a bipartite picture of quantum privacy involving local operations and classical communication. This approach has previously led to some of the strongest upper bounds on secret key rates, including the squashed entanglement and the relative entropy of entanglement. Here we use this approach along with a “privacy test” to establish a general meta-converse bound for private communication.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.1109/ISIT.2017.8006536DOIArticle
http://ieeexplore.ieee.org/document/8006536/PublisherArticle
ORCID:
AuthorORCID
Tomamichel, Marco0000-0001-5410-3329
Berta, Mario0000-0002-0428-3429
Additional Information:© 2017 IEEE.
Group:Institute for Quantum Information and Matter, IQIM
Record Number:CaltechAUTHORS:20170816-155206778
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170816-155206778
Official Citation:M. M. Wilde, M. Tomamichel and M. Berta, "A meta-converse for private communication over quantum channels," 2017 IEEE International Symposium on Information Theory (ISIT), Aachen, Germany, 2017, pp. 291-295. doi: 10.1109/ISIT.2017.8006536
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:80521
Collection:CaltechAUTHORS
Deposited By: Kristin Buxton
Deposited On:16 Aug 2017 23:11
Last Modified:03 Oct 2019 18:32

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