Duality in Entanglement-Assisted Quantum Error Correction

Lai, C; Brun, T; Wilde, M

Duality in Entanglement-Assisted Quantum Error Correction

Lai, C Brun, T Wilde, M

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Publisher:: IEEE-Inst Electrical Electronics Engineers Inc
Publication Type:: Journal Article
Citation:: IEEE Transactions On Information Theory, 2013, 59 (6), pp. 4020 - 4024
Issue Date:: 2013-01

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Field	Value	Language
dc.contributor.author	Lai, C	en_US
dc.contributor.author	Brun, T	en_US
dc.contributor.author	Wilde, M	en_US
dc.date.issued	2013-01	en_US
dc.identifier.citation	IEEE Transactions On Information Theory, 2013, 59 (6), pp. 4020 - 4024	en_US
dc.identifier.issn	0018-9448	en_US
dc.identifier.uri	http://hdl.handle.net/10453/29701
dc.description.abstract	The dual of an entanglement-assisted quantum error-correcting (EAQEC) code is defined from the orthogonal group of a simplified stabilizer group. From the Poisson summation formula, this duality leads to the MacWilliams identities and linear programming bounds for EAQEC codes. We establish a table of upper and lower bounds on the minimum distance of any maximal-entanglement EAQEC code with length up to 15 channel qubits.	en_US
dc.publisher	IEEE-Inst Electrical Electronics Engineers Inc	en_US
dc.relation.ispartof	IEEE Transactions On Information Theory	en_US
dc.relation.isbasedon	10.1109/TIT.2013.2246274	en_US
dc.rights	© 2013 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.	en_US
dc.subject.classification	Networking & Telecommunications	en_US
dc.title	Duality in Entanglement-Assisted Quantum Error Correction	en_US
dc.type	Journal Article
utslib.citation.volume	6	en_US
utslib.citation.volume	59	en_US
utslib.for	0801 Artificial Intelligence and Image Processing	en_US
utslib.for	0906 Electrical and Electronic Engineering	en_US
utslib.for	1005 Communications Technologies	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
utslib.copyright.status	closed_access
pubs.consider-herdc	false	en_US
pubs.issue	6	en_US
pubs.volume	59	en_US

Abstract:

The dual of an entanglement-assisted quantum error-correcting (EAQEC) code is defined from the orthogonal group of a simplified stabilizer group. From the Poisson summation formula, this duality leads to the MacWilliams identities and linear programming bounds for EAQEC codes. We establish a table of upper and lower bounds on the minimum distance of any maximal-entanglement EAQEC code with length up to 15 channel qubits.

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http://hdl.handle.net/10453/29701