Superadditivity in trade-off capacities of quantum channels

Zhu, EY; Zhuang, Q; Hsieh, M-H; Shor, PW

Superadditivity in trade-off capacities of quantum channels

Zhu, EY Zhuang, Q Hsieh, M-H Shor, PW

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Publication Type:: Working Paper
Citation:: 2017
Issue Date:: 2017

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Field	Value	Language
dc.contributor.author	Zhu, EY
dc.contributor.author	Zhuang, Q
dc.contributor.author	Hsieh, M-H
dc.contributor.author	Shor, PW
dc.date.accessioned	2023-03-13T23:08:01Z
dc.date.available	2023-03-13T23:08:01Z
dc.date.issued	2017
dc.identifier.citation	2017
dc.identifier.uri	http://hdl.handle.net/10453/167227
dc.description.abstract	In this article, we investigate the additivity phenomenon in the dynamic capacity of a quantum channel for trading classical communication, quantum communication and entanglement. Understanding such additivity property is important if we want to optimally use a quantum channel for general communication purpose. However, in a lot of cases, the channel one will be using only has an additive single or double resource capacity, and it is largely unknown if this could lead to an superadditive double or triple resource capacity. For example, if a channel has an additive classical and quantum capacity, can the classical-quantum capacity be superadditive? In this work, we answer such questions affirmatively. We give proof-of-principle requirements for these channels to exist. In most cases, we can provide an explicit construction of these quantum channels. The existence of these superadditive phenomena is surprising in contrast to the result that the additivity of both classical-entanglement and classical-quantum capacity regions imply the additivity of the triple capacity region.
dc.language	en
dc.relation	http://purl.org/au-research/grants/arc/FT140100574
dc.rights	info:eu-repo/semantics/restrictedAccess
dc.title	Superadditivity in trade-off capacities of quantum channels
dc.type	Working Paper
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	in_progress	*
dc.date.updated	2023-03-13T23:08:00Z

Abstract:

In this article, we investigate the additivity phenomenon in the dynamic capacity of a quantum channel for trading classical communication, quantum communication and entanglement. Understanding such additivity property is important if we want to optimally use a quantum channel for general communication purpose. However, in a lot of cases, the channel one will be using only has an additive single or double resource capacity, and it is largely unknown if this could lead to an superadditive double or triple resource capacity. For example, if a channel has an additive classical and quantum capacity, can the classical-quantum capacity be superadditive? In this work, we answer such questions affirmatively. We give proof-of-principle requirements for these channels to exist. In most cases, we can provide an explicit construction of these quantum channels. The existence of these superadditive phenomena is surprising in contrast to the result that the additivity of both classical-entanglement and classical-quantum capacity regions imply the additivity of the triple capacity region.

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http://hdl.handle.net/10453/167227