One-Shot Hybrid State Redistribution

Wakakuwa, E; Nakata, Y; Hsieh, MH

One-Shot Hybrid State Redistribution

Wakakuwa, E Nakata, Y Hsieh, MH

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Publisher:: Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften
Publication Type:: Journal Article
Citation:: Quantum, 2022, 6, pp. 724
Issue Date:: 2022-01-01

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Field	Value	Language
dc.contributor.author	Wakakuwa, E
dc.contributor.author	Nakata, Y
dc.contributor.author	Hsieh, MH
dc.date.accessioned	2023-03-14T04:42:11Z
dc.date.available	2023-03-14T04:42:11Z
dc.date.issued	2022-01-01
dc.identifier.citation	Quantum, 2022, 6, pp. 724
dc.identifier.issn	2521-327X
dc.identifier.issn	2521-327X
dc.identifier.uri	http://hdl.handle.net/10453/167301
dc.description.abstract	We consider state redistribution of a "hybrid" information source that has both classical and quantum components. The sender transmits classical and quantum information at the same time to the receiver, in the presence of classical and quantum side information both at the sender and at the decoder. The available resources are shared entanglement, and noiseless classical and quantum communication channels. We derive one-shot direct and converse bounds for these three resources, represented in terms of the smooth conditional entropies of the source state. Various coding theorems for two-party source coding problems are systematically obtained by reduction from our results, including the ones that have not been addressed in previous literatures.
dc.language	en
dc.publisher	Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften
dc.relation.ispartof	Quantum
dc.relation.isbasedon	10.22331/Q-2022-05-30-724
dc.rights	info:eu-repo/semantics/openAccess
dc.title	One-Shot Hybrid State Redistribution
dc.type	Journal Article
utslib.citation.volume	6
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
utslib.copyright.status	open_access	*
dc.date.updated	2023-03-14T04:42:10Z
pubs.publication-status	Published
pubs.volume	6

Abstract:

We consider state redistribution of a "hybrid" information source that has both classical and quantum components. The sender transmits classical and quantum information at the same time to the receiver, in the presence of classical and quantum side information both at the sender and at the decoder. The available resources are shared entanglement, and noiseless classical and quantum communication channels. We derive one-shot direct and converse bounds for these three resources, represented in terms of the smooth conditional entropies of the source state. Various coding theorems for two-party source coding problems are systematically obtained by reduction from our results, including the ones that have not been addressed in previous literatures.

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http://hdl.handle.net/10453/167301