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"Quantum double aspects of surface code models", Alexander Cowtan, Shahn Majid, 2022

Reviewed August 21, 2023

Citation: Cowtan, Alexander, and Shahn Majid. "Quantum double aspects of surface code models." Journal of Mathematical Physics 63.4 (2022).

Web: https://arxiv.org/abs/2107.04411

Tags: Kitaev-quantum-double, Expository

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.