The quantum reverse shannon theorem based on one-shot information theory
File(s)Berta2011_Article_TheQuantumReverseShannonTheore.pdf (625.87 KB)
Published version
Author(s)
Berta, Mario
Christandl, Matthias
Renner, Renato
Type
Journal Article
Abstract
The Quantum Reverse Shannon Theorem states that any quantum channel can be simulated by an unlimited amount of shared entanglement and an amount of classical communication equal to the channel’s entanglement assisted classical capacity. In this paper, we provide a new proof of this theorem, which has previously been proved by Bennett, Devetak, Harrow, Shor, and Winter. Our proof has a clear structure being based on two recent information-theoretic results: one-shot Quantum State Merging and the Post-Selection Technique for quantum channels.
Date Issued
2011-09-01
Date Acceptance
2011-03-23
Citation
Communications in Mathematical Physics, 2011, 306 (3), pp.579-615
ISSN
0010-3616
Publisher
Springer Verlag
Start Page
579
End Page
615
Journal / Book Title
Communications in Mathematical Physics
Volume
306
Issue
3
Copyright Statement
© 2011 The Author(s). This article is distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/4.0/) which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000294010400001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Subjects
Science & Technology
Physical Sciences
Physics, Mathematical
Physics
MATHEMATICAL-THEORY
CAPACITY
ENTANGLEMENT
CHANNEL
COMMUNICATION
ENTROPIES
STATES
Publication Status
Published
Date Publish Online
2011-08-08