Quantum erasure-correcting codes and percolation on regular tilings of the hyperbolic plane
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | DELFOSSE, Nicolas | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | ZEMOR, Gilles | |
| dc.date.accessioned | 2024-04-04T02:26:35Z | |
| dc.date.available | 2024-04-04T02:26:35Z | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189961 | |
| dc.description.abstractEn | We are interested in percolation for a family of self-dual tilings of the hyperbolic plane. We achieve an upper bound on the critical probability for these tilings by taking appropriate finite quotients and associating them with a family of quantum CSS codes. We then relate the probability of percolation to the probability of a decoding error for these codes on the quantum erasure channel. | |
| dc.language.iso | en | |
| dc.title.en | Quantum erasure-correcting codes and percolation on regular tilings of the hyperbolic plane | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Mathématiques [math]/Théorie de l'information et codage [math.IT] | |
| dc.subject.hal | Informatique [cs]/Théorie de l'information [cs.IT] | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| hal.identifier | hal-00632255 | |
| hal.version | 1 | |
| hal.audience | Non spécifiée | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00632255v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=DELFOSSE,%20Nicolas&ZEMOR,%20Gilles&rft.genre=preprint |
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