ZÉMOR, Gilles

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ZÉMOR, Gilles
Institut de Mathématiques de Bordeaux [IMB]

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Communication dans un congrès

Ce document a été publié dans

Coding and Cryptology, second international workshop IWCC 2009, Coding and Cryptology, second international workshop IWCC 2009, International Workshop on Coding and Cryptology, 2009-06-01, Zhangjiajie. 2009-06, vol. 5557, p. 259-273

Springer

Résumé en anglais

We review constructions of quantum surface codes and give an alternative, algebraic, construction of the known classes of surface codes that have fixed rate and growing minimum distance. This construction borrows from Margulis's family of Cayley graphs with large girths, and highlights the analogy between quantum surface codes and cycle codes of graphs in the classical case. We also attempt a brief foray into the class of quantum topological codes arising from higher dimensional manifolds and find these examples to have the same constraint on the rate and minimum distance as in the 2-dimensional case.< Réduire

URI

https://oskar-bordeaux.fr/handle/20.500.12278/190863

Project ANR

COdes Correcteurs Quantiques - ANR-08-EMER-0003

Origine

Importé de hal

Unités de recherche

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251