Generalized Color Codes Supporting Non-Abelian Anyons

Abstract

We propose a generalization of the color codes based on finite groups $G$. 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.

17 pages, 8 figures; references added, typos removed

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Cited by in corpus (1)

• Generalized Cluster States Based on Finite Groups