ZÉMOR, Gilles

Metadatos

Mostrar el registro completo del ítem

Licencia de uso del documento

ZÉMOR, Gilles
Institut de Mathématiques de Bordeaux [IMB]

Idioma

Communication dans un congrès

Este ítem está publicado en

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

Resumen en inglés

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.< Leer menos

URI

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

Proyecto ANR

COdes Correcteurs Quantiques - ANR-08-EMER-0003

Orígen

Importado de Hal

Centros de investigación

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251