Hyperbolic quantum color codes

04/17/2018

∙

by   Eduardo Brandani da Silva, et al.

∙

0

∙

share

Current work presents a new approach to quantum color codes on compact surfaces with genus g ≥ 2 using the identification of these surfaces with hyperbolic polygons and hyperbolic tessellations. We show that this method may give rise to color codes with a very good parameters and we present tables with several examples of these codes whose parameters had not been shown before. We also present a family of codes with minimum distance d=4 and the encoding rate asymptotically going to 1 while n →∞.