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Quantum LDPC codes with positive rate and minimum distance proportional to the square root of the blocklength

hal.structure.identifierSecurity, Cryptology and Transmissions [SECRET]
dc.contributor.authorTILLICH, Jean-Pierre
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorZÉMOR, Gilles
dc.date.accessioned2024-04-04T02:20:16Z
dc.date.available2024-04-04T02:20:16Z
dc.date.issued2014
dc.identifier.issn0018-9448
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/189471
dc.description.abstractEnThe current best asymptotic lower bound on the minimum distance of quantum LDPC codes with fixed non-zero rate is logarithmic in the blocklength. We propose a construction of quantum LDPC codes with fixed non-zero rate and prove that the minimum distance grows proportionally to the square root of the blocklength.
dc.language.isoen
dc.publisherInstitute of Electrical and Electronics Engineers
dc.title.enQuantum LDPC codes with positive rate and minimum distance proportional to the square root of the blocklength
dc.typeArticle de revue
dc.identifier.doi10.1109/TIT.2013.2292061
dc.subject.halInformatique [cs]/Théorie de l'information [cs.IT]
dc.subject.halMathématiques [math]/Théorie de l'information et codage [math.IT]
dc.subject.halPhysique [physics]/Physique Quantique [quant-ph]
bordeaux.journalIEEE Transactions on Information Theory
bordeaux.page1193-1202
bordeaux.volume60
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue2
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00931764
hal.version1
hal.popularnon
hal.audienceInternationale
dc.subject.ptCSS codes
dc.subject.ptLDPC codes
dc.subject.ptquantum codes
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00931764v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=IEEE%20Transactions%20on%20Information%20Theory&rft.date=2014&rft.volume=60&rft.issue=2&rft.spage=1193-1202&rft.epage=1193-1202&rft.eissn=0018-9448&rft.issn=0018-9448&rft.au=TILLICH,%20Jean-Pierre&Z%C3%89MOR,%20Gilles&rft.genre=article


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