English

Generalized Color Codes Supporting Non-Abelian Anyons

Quantum Physics 2015-05-06 v2

Abstract

We propose a generalization of the color codes based on finite groups GG. For non-abelian groups, the resulting model supports non-abelian anyonic quasiparticles and topological order. We examine the properties of these models such as their relationship to Kitaev quantum double models, quasiparticle spectrum, and boundary structure.

Keywords

Cite

@article{arxiv.1408.6238,
  title  = {Generalized Color Codes Supporting Non-Abelian Anyons},
  author = {Courtney G. Brell},
  journal= {arXiv preprint arXiv:1408.6238},
  year   = {2015}
}

Comments

17 pages, 8 figures; references added, typos removed

R2 v1 2026-06-22T05:40:45.540Z