Correcting Quantum Errors with Entanglement

Brun, T; Devetak, I; Hsieh, M

Correcting Quantum Errors with Entanglement

Brun, T Devetak, I Hsieh, M

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Publisher:: American Association for Advancement of Science
Publication Type:: Journal Article
Citation:: Science, 2006, 314, (5798), pp. 436-439
Issue Date:: 2006-01

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Field	Value	Language
dc.contributor.author	Brun, T
dc.contributor.author	Devetak, I
dc.contributor.author	Hsieh, M https://orcid.org/0000-0002-3396-8427
dc.date.accessioned	2023-03-13T23:09:54Z
dc.date.available	2023-03-13T23:09:54Z
dc.date.issued	2006-01
dc.identifier.citation	Science, 2006, 314, (5798), pp. 436-439
dc.identifier.issn	0036-8075
dc.identifier.issn	1095-9203
dc.identifier.uri	http://hdl.handle.net/10453/167233
dc.description.abstract	We show how entanglement shared between encoder and decoder can simplify the theory of quantum error correction. The entanglement-assisted quantum codes we describe do not require the dual-containing constraint necessary for standard quantum errorcorrecting codes, thus allowing us to quantize all of classical linear coding theory. In particular, efficient modern classical codes that attain the Shannon capacity can be made into entanglement-assisted quantum codes attaining the hashing bound (closely related to the quantum capacity). For systems without large amounts of shared entanglement, these codes can also be used as catalytic codes, in which a small amount of initial entanglement enables quantum communication.
dc.format	Print-Electronic
dc.language	eng
dc.publisher	American Association for Advancement of Science
dc.relation.ispartof	Science
dc.relation.isbasedon	10.1126/science.1131563
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject.classification	General Science & Technology
dc.title	Correcting Quantum Errors with Entanglement
dc.type	Journal Article
utslib.citation.volume	314
utslib.location.activity	United States
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	closed_access	*
pubs.consider-herdc	false
dc.date.updated	2023-03-13T23:09:53Z
pubs.issue	5798
pubs.publication-status	Published
pubs.volume	314
utslib.citation.issue	5798

Abstract:

We show how entanglement shared between encoder and decoder can simplify the theory of quantum error correction. The entanglement-assisted quantum codes we describe do not require the dual-containing constraint necessary for standard quantum errorcorrecting codes, thus allowing us to quantize all of classical linear coding theory. In particular, efficient modern classical codes that attain the Shannon capacity can be made into entanglement-assisted quantum codes attaining the hashing bound (closely related to the quantum capacity). For systems without large amounts of shared entanglement, these codes can also be used as catalytic codes, in which a small amount of initial entanglement enables quantum communication.

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http://hdl.handle.net/10453/167233