Topological quantum codes on compact surfaces with genus g >= 2

Autor(es)

Albuquerque, C. D. ^[1] ; Palazzo, Jr., R. ^[1] ; Silva, E. B. ^[2]

Afiliação do(s) autor(es)

^[1] Univ Estadual Campinas, Fac Engn Eletr & Comp, Dept Telemat, BR-13083970 Campinas, SP - Brazil

^[2] Univ Estadual Maringa, Dept Matemat, BR-87020900 Maringa, Parana - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Journal of Mathematical Physics; v. 50, n. 2 FEB 2009.
• Citações Web of Science: 5

Resumo

In this paper we propose a construction procedure of a class of topological quantum error-correcting codes on surfaces with genus g >= 2. This generalizes the toric codes construction. We also tabulate all possible surface codes with genus 2-5. In particular, this construction reproduces the class of codes obtained when considering the embedding of complete graphs K(s), for s equivalent to 1 mod 4, on surfaces with appropriate genus. We also show a table comparing the rate of different codes when fixing the distance to 3-5. (AU)

• Processo FAPESP: 02/07473-7 - Códigos geometricamente uniformes em espaços homogêneos
• Beneficiário: Sueli Irene Rodrigues Costa
• Modalidade de apoio: Auxílio à Pesquisa - Temático