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arXiv · 1408.6238

Generalized Color Codes Supporting Non-Abelian Anyons

Courtney G. Brell
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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.

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Courtney G. Brell. 2014-10-09. Generalized Color Codes Supporting Non-Abelian Anyons. https://doi.org/10.1103/physreva.91.042333

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