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New Classes of Topological Quantum Codes Derived from Embeddings of Graphs on Compact Surfaces

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Author(s):
de Albuquerque, Clarice Dias ; Palazzo, Reginaldo, Jr. ; da Silva, Eduardo Brandani ; IEEE
Total Authors: 4
Document type: Journal article
Source: 2010 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY; v. N/A, p. 4-pg., 2010-01-01.
Abstract

In this paper we present classes of topological quantum codes (TQC) derived from the embedding of complete bipartite graphs on the corresponding compact surfaces. Every code achieves minimum distance 3 and its encoding rate is such that k/n -> 1 as n -> infinity. (AU)