Channel discord and distortion

Zhang, WW; Sanders, YR; Sanders, BC

Channel discord and distortion

Zhang, WW Sanders, YR Sanders, BC

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Publisher:: IOP PUBLISHING LTD
Publication Type:: Journal Article
Citation:: New Journal of Physics, 2021, 23, (8)
Issue Date:: 2021-08-01

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Field	Value	Language
dc.contributor.author	Zhang, WW
dc.contributor.author	Sanders, YR
dc.contributor.author	Sanders, BC
dc.date.accessioned	2022-04-03T08:31:36Z
dc.date.available	2022-04-03T08:31:36Z
dc.date.issued	2021-08-01
dc.identifier.citation	New Journal of Physics, 2021, 23, (8)
dc.identifier.issn	1367-2630
dc.identifier.issn	1367-2630
dc.identifier.uri	http://hdl.handle.net/10453/155904
dc.description.abstract	Discord, originally notable as a signature of bipartite quantum correlation, in fact can be nonzero classically, i.e. arising from noisy measurements by one of the two parties. Here we redefine classical discord to quantify channel distortion, in contrast to the previous restriction of classical discord to a state, and we then show a monotonic relationship between classical (channel) discord and channel distortion. We show that classical discord is equivalent to (doubly stochastic) channel distortion by numerically discovering a monotonic relation between discord and total-variation distance for a bipartite protocol with one party having a noiseless channel and the other party having a noisy channel. Our numerical method includes randomly generating doubly stochastic matrices for noisy channels and averaging over a uniform measure of input messages. Connecting discord with distortion establishes discord as a signature of classical, not quantum, channel distortion.
dc.language	English
dc.publisher	IOP PUBLISHING LTD
dc.relation.ispartof	New Journal of Physics
dc.relation.isbasedon	10.1088/1367-2630/ac180a
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	02 Physical Sciences
dc.subject.classification	Fluids & Plasmas
dc.title	Channel discord and distortion
dc.type	Journal Article
utslib.citation.volume	23
utslib.for	02 Physical Sciences
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
utslib.copyright.status	open_access	*
dc.date.updated	2022-04-03T08:31:35Z
pubs.issue	8
pubs.publication-status	Published
pubs.volume	23
utslib.citation.issue	8

Abstract:

Discord, originally notable as a signature of bipartite quantum correlation, in fact can be nonzero classically, i.e. arising from noisy measurements by one of the two parties. Here we redefine classical discord to quantify channel distortion, in contrast to the previous restriction of classical discord to a state, and we then show a monotonic relationship between classical (channel) discord and channel distortion. We show that classical discord is equivalent to (doubly stochastic) channel distortion by numerically discovering a monotonic relation between discord and total-variation distance for a bipartite protocol with one party having a noiseless channel and the other party having a noisy channel. Our numerical method includes randomly generating doubly stochastic matrices for noisy channels and averaging over a uniform measure of input messages. Connecting discord with distortion establishes discord as a signature of classical, not quantum, channel distortion.

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http://hdl.handle.net/10453/155904