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Article: Five quantum register error correction code for higher spin systems

TitleFive quantum register error correction code for higher spin systems
Authors
KeywordsPhysics
Issue Date1997
PublisherAmerican Physical Society. The Journal's web site is located at http://pra.aps.org
Citation
Physical Review A - Atomic, Molecular, And Optical Physics, 1997, v. 56 n. 1, p. R1-R4 How to Cite?
AbstractI construct a quantum error correction code (QECC) in higher spin systems using the idea of multiplicative group character. Each N-state quantum particle is encoded as five N-state quantum registers. By doing so, this code can correct any quantum error arising from any one of the five quantum registers. This code generalizes the well-known five qubit perfect code in spin-1/2 systems and is shown to be optimal for higher spin systems. I also report a simple algorithm for encoding. The importance of multiplicative group character in constructing QECCs will be addressed.
Persistent Identifierhttp://hdl.handle.net/10722/43202
ISSN
2014 Impact Factor: 2.808
2015 SCImago Journal Rankings: 1.418
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorChau, HFen_HK
dc.date.accessioned2007-03-23T04:41:12Z-
dc.date.available2007-03-23T04:41:12Z-
dc.date.issued1997en_HK
dc.identifier.citationPhysical Review A - Atomic, Molecular, And Optical Physics, 1997, v. 56 n. 1, p. R1-R4en_HK
dc.identifier.issn1050-2947en_HK
dc.identifier.urihttp://hdl.handle.net/10722/43202-
dc.description.abstractI construct a quantum error correction code (QECC) in higher spin systems using the idea of multiplicative group character. Each N-state quantum particle is encoded as five N-state quantum registers. By doing so, this code can correct any quantum error arising from any one of the five quantum registers. This code generalizes the well-known five qubit perfect code in spin-1/2 systems and is shown to be optimal for higher spin systems. I also report a simple algorithm for encoding. The importance of multiplicative group character in constructing QECCs will be addressed.en_HK
dc.format.extent118527 bytes-
dc.format.extent28160 bytes-
dc.format.mimetypeapplication/pdf-
dc.format.mimetypeapplication/msword-
dc.languageengen_HK
dc.publisherAmerican Physical Society. The Journal's web site is located at http://pra.aps.orgen_HK
dc.relation.ispartofPhysical Review A - Atomic, Molecular, and Optical Physicsen_HK
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.rightsPhysical Review A (Atomic, Molecular and Optical Physics). Copyright © American Physical Society.en_HK
dc.subjectPhysicsen_HK
dc.titleFive quantum register error correction code for higher spin systemsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0556-2791&volume=56&issue=1&spage=R1&epage=R4&date=1997&atitle=Five+quantum+register+error+correction+code+for+higher+spin+systemsen_HK
dc.identifier.emailChau, HF: hfchau@hku.hken_HK
dc.identifier.authorityChau, HF=rp00669en_HK
dc.description.naturepublished_or_final_versionen_HK
dc.identifier.doi10.1103/PhysRevA.56.R1en_HK
dc.identifier.scopuseid_2-s2.0-0004558535en_HK
dc.identifier.hkuros24371-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0004558535&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume56en_HK
dc.identifier.issue1en_HK
dc.identifier.spageR1en_HK
dc.identifier.epageR4en_HK
dc.identifier.isiWOS:A1997XL64500001-
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridChau, HF=7005742276en_HK
dc.identifier.citeulike6595547-

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