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Fault-tolerant renormalization group decoder for abelian topological codes

Fault-tolerant renormalization group decoder for abelian topological codes

We present a three-dimensional generalization of a renormalization group decoding algorithm for topological codes with Abelian anyonic excitations that we introduced for two dimensions in \cite{DP09a,DP10a}. We also provide a complete detailed description of the structure of the algorithm, which should be sufficient for anyone interested in implementing it. This …