Classical Enhancement of Quantum Error-Correcting Codes

Kremsky, I; Hsieh, M; Brun, T

Classical Enhancement of Quantum Error-Correcting Codes

Kremsky, I Hsieh, M Brun, T

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Publisher:: American Physical Society
Publication Type:: Journal Article
Citation:: Kremsky, Isaac, Hsieh, Min-Hsiu, and Brun, Todd 2008, 'Classical Enhancement of Quantum Error-Correcting Codes', Physical Review A, vol. 78, no. 1, pp. 012341-1-012341-8.
Issue Date:: 2008

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Field	Value	Language
dc.contributor.author	Kremsky, I	en_US
dc.contributor.author	Hsieh, M	en_US
dc.contributor.author	Brun, T	en_US
dc.date.accessioned	2014-08-17T18:05:30Z
dc.date.available	2014-08-17T18:05:30Z
dc.date.issued	2008	en_US
dc.identifier	2012004792	en_US
dc.identifier.citation	Kremsky, Isaac, Hsieh, Min-Hsiu, and Brun, Todd 2008, 'Classical Enhancement of Quantum Error-Correcting Codes', Physical Review A, vol. 78, no. 1, pp. 012341-1-012341-8.	en_US
dc.identifier.issn	1050-2947	en_US
dc.identifier.other	C1UNSUBMIT	en_US
dc.identifier.uri	http://hdl.handle.net/10453/28841
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 formalism and classical error correction, and includes encoding, error correction, and decoding steps such that the encoded quantum and classical information can be correctly recovered by the receiver. We formally define this kind of quantum code using both stabilizer and symplectic language, and derive the appropriate error-correcting conditions. We give several examples to demonstrate the construction of such codes.	en_US
dc.publisher	American Physical Society	en_US
dc.relation.ispartof	Verified OK	en_US
dc.relation.ispartof	Physical Review A	en_US
dc.relation.isbasedon	http://dx.doi.org/10.1103/PhysRevA.78.012341	en_US
dc.subject.classification	Quantum Information, Computation and Communication	en_US
dc.title	Classical Enhancement of Quantum Error-Correcting Codes	en_US
dc.type	Journal article
utslib.citation.volume	78	en_US
utslib.citation.number	1	en_US
utslib.location	USA	en_US
utslib.citation.startpage	012341-1	en_US
utslib.citation.endpage	012341-8	en_US
utslib.identifier.org	FEIT.A/DRsch Ctr Quantum Computat'n & Intelligent Systs	en_US
utslib.for	020603	en_US
utslib.percentage	100	en_US
utslib.copyright.status	closed_access

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 formalism and classical error correction, and includes encoding, error correction, and decoding steps such that the encoded quantum and classical information can be correctly recovered by the receiver. We formally define this kind of quantum code using both stabilizer and symplectic 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/10453/28841