Construction of topological quantum codes on compact surfaces
Clarice Dias de Albuquerque, Reginaldo Palazzo, Eduardo Brandani da Silva · 2008
In this paper we construct a class of topological quantum error-correcting codes on compact surfaces with genus g ≥ 2. This generalizes the construction process of toric codes. As examples, we tabulate some good topological quantum codes on surfaces with genus 2 and 3.