Kitaev's Z_d-Codes Threshold Estimates

Abstract

We study the quantum error correction threshold of Kitaev's toric code over the group Z_d subject to a generalized bit-flip noise. This problem requires novel decoding techniques, and for this purpose we generalize the renormalization group method we previously introduced for Z_2 topological codes.

5 pages, 5 figures

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• Qudit surface codes and gauge theory with finite cyclic groups

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