Classical enhancement of quantum-error-correcting codes

Kremsky, I; Hsieh, MH; Brun, TA

Classical enhancement of quantum-error-correcting codes

Kremsky, I Hsieh, MH Brun, TA

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Publisher:: AMER PHYSICAL SOC
Publication Type:: Journal Article
Citation:: Physical Review A - Atomic, Molecular, and Optical Physics, 2008, 78, (1)
Issue Date:: 2008-07-21

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Field	Value	Language
dc.contributor.author	Kremsky, I
dc.contributor.author	Hsieh, MH
dc.contributor.author	Brun, TA
dc.date.accessioned	2023-03-13T23:09:17Z
dc.date.available	2023-03-13T23:09:17Z
dc.date.issued	2008-07-21
dc.identifier.citation	Physical Review A - Atomic, Molecular, and Optical Physics, 2008, 78, (1)
dc.identifier.issn	1050-2947
dc.identifier.issn	1094-1622
dc.identifier.uri	http://hdl.handle.net/10453/167231
dc.description.abstract	We present a general formalism for quantum-error-correcting codes that encode both classical and quantum information (the EACQ formalism). This formalism unifies the entanglement-assisted coding theory and the classical coding theory in the sense that, after the encoding, error-correcting, and decoding steps, the encoded quantum and classical information can be correctly recovered by the receiver. We formally define this kind of quantum codes using stabilizer language, and derive the appropriate error-correcting conditions. We give several examples to demonstrate the construction of such codes.
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.78.012341
dc.rights	info:eu-repo/semantics/restrictedAccess
dc.subject	01 Mathematical Sciences, 02 Physical Sciences, 03 Chemical Sciences
dc.subject.classification	General Physics
dc.title	Classical enhancement of quantum-error-correcting codes
dc.type	Journal Article
utslib.citation.volume	78
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	in_progress	*
dc.date.updated	2023-03-13T23:09:16Z
pubs.issue	1
pubs.publication-status	Published
pubs.volume	78
utslib.citation.issue	1

Abstract:

We present a general formalism for quantum-error-correcting codes that encode both classical and quantum information (the EACQ formalism). This formalism unifies the entanglement-assisted coding theory and the classical coding theory in the sense that, after the encoding, error-correcting, and decoding steps, the encoded quantum and classical information can be correctly recovered by the receiver. We formally define this kind of quantum codes using stabilizer language, and derive the appropriate error-correcting conditions. We give several examples to demonstrate the construction of such codes.

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http://hdl.handle.net/10453/167231