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. doi:10.1109/TIT.2017.2672981. 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:

URL	URL Type	Description
http://dx.doi.org/10.1109/TIT.2017.2672981	DOI	Article
http://ieeexplore.ieee.org/document/7864399/	Publisher	Article
https://arxiv.org/abs/1603.02282	arXiv	Discussion Paper

ORCID:

Author	ORCID
Berta, Mario	0000-0002-0428-3429

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:

Institute for Quantum Information and Matter

Funders:

Funding Agency	Grant Number
Swiss National Science Foundation (SNSF)	UNSPECIFIED
Institute for Quantum Information and Matter (IQIM)	UNSPECIFIED
NSF	PHY-1125565
Gordon and Betty Moore Foundation	GBMF-12500028
Army Research Office (ARO)	W911NF-12-1-0521
Foundational Questions Institute (FQXI)	UNSPECIFIED
Simons Foundation	UNSPECIFIED
Air Force Office of Scientific Research (AFOSR)	FA9550-16-1-0082

Subject Keywords:

Quantum Mechanics, Quantum Entanglement, Compound Channels, Decoupling

Issue or Number:

DOI:

10.1109/TIT.2017.2672981

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

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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:

11 Nov 2021 04:44

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