NEW CLASSES OF TOPOLOGICAL QUANTUM CODES ASSOCIATED WITH SELF-DUAL, QUASI SELF-DUAL AND DENSER TESSELLATIONS

Autor(es)

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

Afiliação do(s) autor(es)

^[1] Univ Estadual Campinas, Fac Elect & Comp Engn, Dept Telemat, BR-13083852 Campinas, SP - Brazil

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

• Tipo de documento: Artigo Científico
• Fonte: QUANTUM INFORMATION & COMPUTATION; v. 10, n. 11-12, p. 956-970, NOV 2010.
• Citações Web of Science: 2

Resumo

In this paper we present six classes of topological quantum codes (TQC) on compact surfaces with genus g >= 2. These codes are derived from self-dual, quasi self-dual and denser tessellations associated with embeddings of self-dual complete graphs and complete bipartite graphs on the corresponding compact surfaces. The majority of the new classes has the self-dual tessellations as their algebraic and geometric supporting mathematical structures. Every code achieves minimum distance 3 and its encoding rate is such that k/n -> 1as n -> infinity, except for the one case where k/n -> 1/3 as n -> infinity. (AU)

• Processo FAPESP: 09/50837-9 - Analise e construcao de codigos quanticos topologicos em superficies compactas e nao-compactas
• Beneficiário: Clarice Dias de Albuquerque
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado
• Processo FAPESP: 07/56052-8 - Teoria da informação e códigos
• Beneficiário: Sueli Irene Rodrigues Costa
• Modalidade de apoio: Auxílio à Pesquisa - Temático