Converse Bounds for Classical Communication over Quantum Broadcast Channels and Quantum Multi-Access Channels

Xie, W; Wang, X; Duan, R

Converse Bounds for Classical Communication over Quantum Broadcast Channels and Quantum Multi-Access Channels

Xie, W Wang, X

Duan, R

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Publication Type:: Conference Proceeding
Citation:: IEEE International Symposium on Information Theory - Proceedings, 2018, 2018-June pp. 2341 - 2345
Issue Date:: 2018-08-15

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Field	Value	Language
dc.contributor.author	Xie, W	en_US
dc.contributor.author	Wang, X https://orcid.org/0000-0002-0641-3186	en_US
dc.contributor.author	Duan, R https://orcid.org/0000-0002-4388-7487	en_US
dc.date.issued	2018-08-15	en_US
dc.identifier.citation	IEEE International Symposium on Information Theory - Proceedings, 2018, 2018-June pp. 2341 - 2345	en_US
dc.identifier.isbn	9781538647806	en_US
dc.identifier.issn	2157-8095	en_US
dc.identifier.uri	http://hdl.handle.net/10453/133867
dc.description.abstract	© 2018 IEEE. We explore the classical communication over quantum channels with one sender and two receivers, or with two senders and one receiver, in both one-shot and asymptotic regimes. First, for the quantum broadcast channel (QBC) and the quantum multi-access channel (QMAC), we study the classical communication assisted by no-signalling and positive-partial-transpose-preserving codes, and obtain efficiently computable one-shot bounds to assess the performance of classical communication. Second, we consider the asymptotic communication capability of communication over the QBC and QMAC. We derive an efficiently computable strong converse bound for the capacity region, which behaves better than the previous semidefinite programming strong converse bound for point-to-point channels. Third, we obtain a converse bound on the one-shot capacity region based on the hypothesis testing divergence between the given channel and a certain class of subchannels. As applications, we analyze the communication performance for some basic network channels, including the classical broadcast channels and a specific class of quantum broadcast channels.	en_US
dc.relation.ispartof	IEEE International Symposium on Information Theory - Proceedings	en_US
dc.relation.isbasedon	10.1109/ISIT.2018.8437766	en_US
dc.title	Converse Bounds for Classical Communication over Quantum Broadcast Channels and Quantum Multi-Access Channels	en_US
dc.type	Conference Proceeding
utslib.citation.volume	2018-June	en_US
utslib.for	0802 Computation Theory and Mathematics	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Strength - QSI - Centre for Quantum Software and Information
pubs.organisational-group	/University of Technology Sydney/Students
utslib.copyright.status	closed_access
pubs.publication-status	Published	en_US
pubs.volume	2018-June	en_US

Abstract:

© 2018 IEEE. We explore the classical communication over quantum channels with one sender and two receivers, or with two senders and one receiver, in both one-shot and asymptotic regimes. First, for the quantum broadcast channel (QBC) and the quantum multi-access channel (QMAC), we study the classical communication assisted by no-signalling and positive-partial-transpose-preserving codes, and obtain efficiently computable one-shot bounds to assess the performance of classical communication. Second, we consider the asymptotic communication capability of communication over the QBC and QMAC. We derive an efficiently computable strong converse bound for the capacity region, which behaves better than the previous semidefinite programming strong converse bound for point-to-point channels. Third, we obtain a converse bound on the one-shot capacity region based on the hypothesis testing divergence between the given channel and a certain class of subchannels. As applications, we analyze the communication performance for some basic network channels, including the classical broadcast channels and a specific class of quantum broadcast channels.

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http://hdl.handle.net/10453/133867