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Entanglement-assisted capacities of compound quantum channels

Berta, Mario and Gharibyan, Hrant and Walter, Michael (2017) Entanglement-assisted capacities of compound quantum channels. IEEE Transactions on Information Theory, 63 (5). pp. 3306-3321. ISSN 0018-9448. https://resolver.caltech.edu/CaltechAUTHORS:20161024-120228304

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Abstract

We study universal quantum codes for entanglementassisted quantum communication over compound quantum channels. In this setting, sender and receiver do not know the specific channel that will be used for communication, but only know the set that the channel is selected from. We investigate different variations of the problem: uninformed users, informed receiver, informed sender, and feedback assistance. We derive single-letter formulas for all corresponding channel capacities. Our proofs are based on one-shot decoupling bounds and properties of smooth entropies.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1109/TIT.2017.2672981 DOIArticle
http://ieeexplore.ieee.org/document/7864399/PublisherArticle
https://arxiv.org/abs/1603.02282arXivDiscussion Paper
ORCID:
AuthorORCID
Berta, Mario0000-0002-0428-3429
Additional Information:© 2016 IEEE. Manuscript received March 30, 2016; revised January 12, 2017; accepted January 26, 2017. M. Berta acknowledges funding by the SNSF through a fellowship, funding by the Institute for Quantum Information and Matter (IQIM), an NSF Physics Frontiers Center (NFS Grant PHY-1125565) with support of the Gordon and Betty Moore Foundation (GBMF-12500028), and funding support form the ARO grant for Research on Quantum Algorithms at the IQIM (W911NF-12-1-0521). H. Gharibyan and M. Walter gratefully acknowledge support from FQXI and the Simons Foundation. M. Walter also gratefully acknowledges support from AFOSR grant FA9550-16-1-0082.
Group:IQIM, Institute for Quantum Information and Matter
Funders:
Funding AgencyGrant Number
Swiss National Science Foundation (SNSF)UNSPECIFIED
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
NSFPHY-1125565
Gordon and Betty Moore FoundationGBMF-12500028
Army Research Office (ARO)W911NF-12-1-0521
Foundational Questions Institute (FQXI)UNSPECIFIED
Simons FoundationUNSPECIFIED
Air Force Office of Scientific Research (AFOSR)FA9550-16-1-0082
Subject Keywords:Quantum Mechanics, Quantum Entanglement, Compound Channels, Decoupling
Issue or Number:5
Record Number:CaltechAUTHORS:20161024-120228304
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20161024-120228304
Official Citation:M. Berta, H. Gharibyan and M. Walter, "Entanglement-Assisted Capacities of Compound Quantum Channels," in IEEE Transactions on Information Theory, vol. 63, no. 5, pp. 3306-3321, May 2017. doi: 10.1109/TIT.2017.2672981 URL: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=7864399&isnumber=7905784
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:71386
Collection:CaltechAUTHORS
Deposited By: Melissa Ray
Deposited On:24 Oct 2016 19:28
Last Modified:03 Oct 2019 16:06

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