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Algebraic techniques in designing quantum synchronizable codes

Fujiwara, Yuichiro and Tonchev, Vladimir D. and Wong, W. H. (2013) Algebraic techniques in designing quantum synchronizable codes. Physical Review A, 88 (1). Art. No. 012318. ISSN 1050-2947. doi:10.1103/PhysRevA.88.012318. https://resolver.caltech.edu/CaltechAUTHORS:20130809-135140181

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Abstract

Quantum synchronizable codes are quantum error-correcting codes that can correct the effects of quantum noise as well as block synchronization errors. We improve the known general framework for designing quantum synchronizable codes through more extensive use of the theory of finite fields. This makes it possible to widen the range of tolerable magnitude of block synchronization errors while giving mathematical insight into the algebraic mechanism of synchronization recovery. Also given are families of quantum synchronizable codes based on punctured Reed-Muller codes and their ambient spaces.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/1304.0502arXivDiscussion Paper
http://dx.doi.org/10.1103/PhysRevA.88.012318 DOIArticle
http://link.aps.org/doi/10.1103/PhysRevA.88.012318PublisherArticle
Additional Information:© 2013 American Physical Society. Received 31 March 2013; published 16 July 2013. Y.F. acknowledges support from JSPS. Vladimir Tonchev is supported by an NSA grant.
Funders:
Funding AgencyGrant Number
Japan Society for the Promotion of Science (JSPS)UNSPECIFIED
National Security Agency (NSA)UNSPECIFIED
Issue or Number:1
Classification Code:PACS: 03.67.Pp, 03.67.Hk
DOI:10.1103/PhysRevA.88.012318
Record Number:CaltechAUTHORS:20130809-135140181
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20130809-135140181
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:39847
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:09 Aug 2013 20:59
Last Modified:09 Nov 2021 23:47

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