New classes of topological quantum codes derived from embeddings of graphs on compact surfaces
Clarice Dias de Albuquerque, Reginaldo Palazzo, Eduardo Brandani da Silva · 2010
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 → ∞.