Quantum LDPC codes with positive rate and minimum distance proportional to the square root of the blocklength
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 | 2024-04-04T02:20:16Z | |
dc.date.available | 2024-04-04T02:20:16Z | |
dc.date.issued | 2014 | |
dc.identifier.issn | 0018-9448 | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189471 | |
dc.description.abstractEn | The 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.iso | en | |
dc.publisher | Institute of Electrical and Electronics Engineers | |
dc.title.en | Quantum LDPC codes with positive rate and minimum distance proportional to the square root of the blocklength | |
dc.type | Article de revue | |
dc.identifier.doi | 10.1109/TIT.2013.2292061 | |
dc.subject.hal | Informatique [cs]/Théorie de l'information [cs.IT] | |
dc.subject.hal | Mathématiques [math]/Théorie de l'information et codage [math.IT] | |
dc.subject.hal | Physique [physics]/Physique Quantique [quant-ph] | |
bordeaux.journal | IEEE Transactions on Information Theory | |
bordeaux.page | 1193-1202 | |
bordeaux.volume | 60 | |
bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
bordeaux.issue | 2 | |
bordeaux.institution | Université de Bordeaux | |
bordeaux.institution | Bordeaux INP | |
bordeaux.institution | CNRS | |
bordeaux.peerReviewed | oui | |
hal.identifier | hal-00931764 | |
hal.version | 1 | |
hal.popular | non | |
hal.audience | Internationale | |
dc.subject.pt | CSS codes | |
dc.subject.pt | LDPC codes | |
dc.subject.pt | quantum codes | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-00931764v1 | |
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