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Citation: Cowtan, Alexander, and Shahn Majid. "Quantum double aspects of surface code models." Journal of Mathematical Physics 63.4 (2022).
This paper gives an overview of the non-abelian quantum double model. It uses the language of quasi-triangular Hopf algebras, but works mostly with groups.
With this non-abelian model, they show how to make Bell states to teleport quantum information.
This paper gives special focus to the abelian case G=Zn, and the symmetric group case G=S3.