The MacWilliams identity for quantum convolutional codes

Lai, CY; Hsieh, MH

The MacWilliams identity for quantum convolutional codes

Lai, CY

Hsieh, MH

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Publication Type:: Conference Proceeding
Citation:: IEEE International Symposium on Information Theory - Proceedings, 2014, pp. 911 - 915
Issue Date:: 2014-01-01

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Field	Value	Language
dc.contributor.author	Lai, CY https://orcid.org/0000-0003-1970-8167	en_US
dc.contributor.author	Hsieh, MH https://orcid.org/0000-0002-3396-8427	en_US
dc.date.issued	2014-01-01	en_US
dc.identifier.citation	IEEE International Symposium on Information Theory - Proceedings, 2014, pp. 911 - 915	en_US
dc.identifier.isbn	9781479951864	en_US
dc.identifier.issn	2157-8095	en_US
dc.identifier.uri	http://hdl.handle.net/10453/43743
dc.description.abstract	In this paper, we propose a definition of the dual code of a quantum convolutional code, with or without entanglement assistance. We then derive a MacWilliams identity for quantum convolutional codes. Along the way, we obtain a direct proof of the MacWilliams identity, first found by Gluesing-Luerssen and Schneider, in the setting of classical convolutional codes. © 2014 IEEE.	en_US
dc.relation.ispartof	IEEE International Symposium on Information Theory - Proceedings	en_US
dc.relation.isbasedon	10.1109/ISIT.2014.6874965	en_US
dc.title	The MacWilliams identity for quantum convolutional codes	en_US
dc.type	Conference Proceeding
utslib.for	080199 Artificial Intelligence and Image Processing not elsewhere classified	en_US
utslib.for	080203 Computational Logic and Formal Languages	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
pubs.organisational-group	/University of Technology Sydney/Strength - QSI - Centre for Quantum Software and Information
utslib.copyright.status	open_access
pubs.publication-status	Published	en_US

Abstract:

In this paper, we propose a definition of the dual code of a quantum convolutional code, with or without entanglement assistance. We then derive a MacWilliams identity for quantum convolutional codes. Along the way, we obtain a direct proof of the MacWilliams identity, first found by Gluesing-Luerssen and Schneider, in the setting of classical convolutional codes. © 2014 IEEE.

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http://hdl.handle.net/10453/43743