General entanglement-assisted quantum error-correcting codes

Hsieh, MH; Devetak, I; Brun, T

General entanglement-assisted quantum error-correcting codes

Hsieh, MH Devetak, I Brun, T

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Publisher:: AMER PHYSICAL SOC
Publication Type:: Journal Article
Citation:: Physical Review A - Atomic, Molecular, and Optical Physics, 2007, 76, (6)
Issue Date:: 2007-12-19

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Field	Value	Language
dc.contributor.author	Hsieh, MH
dc.contributor.author	Devetak, I
dc.contributor.author	Brun, T
dc.date.accessioned	2023-03-13T23:09:33Z
dc.date.available	2023-03-13T23:09:33Z
dc.date.issued	2007-12-19
dc.identifier.citation	Physical Review A - Atomic, Molecular, and Optical Physics, 2007, 76, (6)
dc.identifier.issn	1050-2947
dc.identifier.issn	1094-1622
dc.identifier.uri	http://hdl.handle.net/10453/167232
dc.description.abstract	Entanglement-assisted quantum error-correcting codes (EAQECCs) make use of preexisting entanglement between the sender and receiver to boost the rate of transmission. It is possible to construct an EAQECC from any classical linear code, unlike standard QECCs, which can only be constructed from dual-containing codes. Operator quantum error-correcting codes allow certain errors to be corrected (or prevented) passively, reducing the complexity of the correction procedure. We combine these two extensions of standard quantum error correction into a unified entanglement-assisted quantum error-correction formalism. This new scheme, which we call entanglement-assisted operator quantum error correction (EAOQEC), is the most general and powerful quantum error-correcting technique known, retaining the advantages of both entanglement-assistance and passive correction. We present the formalism, show the considerable freedom in constructing EAOQECCs from classical codes, and demonstrate the construction with examples. © 2007 The American Physical Society.
dc.language	English
dc.publisher	AMER PHYSICAL SOC
dc.relation.ispartof	Physical Review A - Atomic, Molecular, and Optical Physics
dc.relation.isbasedon	10.1103/PhysRevA.76.062313
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject	01 Mathematical Sciences, 02 Physical Sciences, 03 Chemical Sciences
dc.subject.classification	General Physics
dc.title	General entanglement-assisted quantum error-correcting codes
dc.type	Journal Article
utslib.citation.volume	76
utslib.for	01 Mathematical Sciences
utslib.for	02 Physical Sciences
utslib.for	03 Chemical Sciences
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	*
dc.date.updated	2023-03-13T23:09:32Z
pubs.issue	6
pubs.publication-status	Published
pubs.volume	76
utslib.citation.issue	6

Abstract:

Entanglement-assisted quantum error-correcting codes (EAQECCs) make use of preexisting entanglement between the sender and receiver to boost the rate of transmission. It is possible to construct an EAQECC from any classical linear code, unlike standard QECCs, which can only be constructed from dual-containing codes. Operator quantum error-correcting codes allow certain errors to be corrected (or prevented) passively, reducing the complexity of the correction procedure. We combine these two extensions of standard quantum error correction into a unified entanglement-assisted quantum error-correction formalism. This new scheme, which we call entanglement-assisted operator quantum error correction (EAOQEC), is the most general and powerful quantum error-correcting technique known, retaining the advantages of both entanglement-assistance and passive correction. We present the formalism, show the considerable freedom in constructing EAOQECCs from classical codes, and demonstrate the construction with examples. © 2007 The American Physical Society.

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http://hdl.handle.net/10453/167232