Quantum LDPC codes with positive rate and minimum distance proportional to $n^{1/2}$
hal.structure.identifier | Security, Cryptology and Transmissions [SECRET] | |
dc.contributor.author | TILLICH, Jean-Pierre | |
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
dc.contributor.author | ZÉMOR, Gilles | |
dc.date.accessioned | 2024-04-04T02:23:06Z | |
dc.date.available | 2024-04-04T02:23:06Z | |
dc.date.created | 2009 | |
dc.date.issued | 2009 | |
dc.date.conference | 2009 | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189704 | |
dc.description.abstractEn | The current best asymptotic lower bound on the minimum distance of quantum LDPC codes with fixed nonzero rate is logarithmic in the blocklength. We build quantum LDPC codes with fixed non-zero rate and prove that their minimum distance grows proportionally to the square root of the blocklength. | |
dc.language.iso | en | |
dc.source.title | Proceedings of the IEEE Symposium on Information Theory, ISIT 2009 | |
dc.title.en | Quantum LDPC codes with positive rate and minimum distance proportional to $n^{1/2}$ | |
dc.type | Communication dans un congrès | |
dc.identifier.doi | 10.1109/ISIT.2009.5205648 | |
dc.subject.hal | Mathématiques [math]/Théorie de l'information et codage [math.IT] | |
dc.subject.hal | Informatique [cs]/Théorie de l'information [cs.IT] | |
dc.subject.hal | Physique [physics]/Physique Quantique [quant-ph] | |
bordeaux.page | 799--804 | |
bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
bordeaux.institution | Université de Bordeaux | |
bordeaux.institution | Bordeaux INP | |
bordeaux.institution | CNRS | |
bordeaux.conference.title | IEEE Symposium on Information Theory, ISIT 2009 | |
bordeaux.country | KR | |
bordeaux.title.proceeding | Proceedings of the IEEE Symposium on Information Theory, ISIT 2009 | |
bordeaux.conference.city | Seoul | |
bordeaux.peerReviewed | oui | |
hal.identifier | hal-00776266 | |
hal.version | 1 | |
hal.invited | non | |
hal.proceedings | oui | |
hal.popular | non | |
hal.audience | Internationale | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-00776266v1 | |
bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.btitle=Proceedings%20of%20the%20IEEE%20Symposium%20on%20Information%20Theory,%20ISIT%202009&rft.date=2009&rft.spage=799--804&rft.epage=799--804&rft.au=TILLICH,%20Jean-Pierre&Z%C3%89MOR,%20Gilles&rft.genre=unknown |
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