New Class Of Quantum Codes Constructed From Cyclic Difference Set

Zhao, S; Xiao, Y; Zhu, X; Hsieh, M

New Class Of Quantum Codes Constructed From Cyclic Difference Set

Zhao, S Xiao, Y Zhu, X Hsieh, M

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Publisher:: World Scientific
Publication Type:: Journal Article
Citation:: Zhao, Sheng-Mei et al. 2012, 'New Class Of Quantum Codes Constructed From Cyclic Difference Set', International Journal of Quantum Information, vol. 10, no. 1, pp. 1250015-1-1250015-12.
Issue Date:: 2012

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Field	Value	Language
dc.contributor.author	Zhao, S	en_US
dc.contributor.author	Xiao, Y	en_US
dc.contributor.author	Zhu, X	en_US
dc.contributor.author	Hsieh, M	en_US
dc.date.accessioned	2014-09-21T18:05:47Z
dc.date.available	2014-09-21T18:05:47Z
dc.date.issued	2012	en_US
dc.identifier	2012004728	en_US
dc.identifier.citation	Zhao, Sheng-Mei et al. 2012, 'New Class Of Quantum Codes Constructed From Cyclic Difference Set', International Journal of Quantum Information, vol. 10, no. 1, pp. 1250015-1-1250015-12.	en_US
dc.identifier.issn	0219-7499	en_US
dc.identifier.other	C1UNSUBMIT	en_US
dc.identifier.uri	http://hdl.handle.net/10453/29698
dc.description.abstract	We introduce joint difference sets as a generalization of cyclic difference sets, and we construct a new class of quantum error-correcting codes (QECCs) from these joint difference sets. The main benefits of our method are as follows. First, we can construct quantum codes that are both high rate and with large block length, while maintaining good performance. Second, the density of constructed quantum parity check matrix can approach zero when the code length is very large. This allows us to use a simple iterative decoding algorithm. Interestingly, our method yields the well-known [5,1,3] QECC.	en_US
dc.publisher	World Scientific	en_US
dc.relation.ispartof	International Journal of Quantum Information	en_US
dc.relation.ispartof	Verified OK	en_US
dc.relation.isbasedon	http://dx.doi.org/10.1142/S0219749912500153	en_US
dc.subject	Cyclic difference set; stabilizer code; quantum error correction code; quantum low density parity check code	en_US
dc.subject.classification	Computation Theory and Mathematics	en_US
dc.title	New Class Of Quantum Codes Constructed From Cyclic Difference Set	en_US
dc.type	Journal article
utslib.citation.volume	10	en_US
utslib.citation.number	1	en_US
utslib.location	Singapore	en_US
utslib.citation.startpage	1250015-1	en_US
utslib.citation.endpage	1250015-12	en_US
utslib.identifier.org	FEIT.A/DRsch Ctr Quantum Computat'n & Intelligent Systs	en_US
utslib.for	080200	en_US
utslib.percentage	100	en_US
utslib.copyright.status	closed_access

Abstract:

We introduce joint difference sets as a generalization of cyclic difference sets, and we construct a new class of quantum error-correcting codes (QECCs) from these joint difference sets. The main benefits of our method are as follows. First, we can construct quantum codes that are both high rate and with large block length, while maintaining good performance. Second, the density of constructed quantum parity check matrix can approach zero when the code length is very large. This allows us to use a simple iterative decoding algorithm. Interestingly, our method yields the well-known [5,1,3] QECC.

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http://hdl.handle.net/10453/29698