Kitaev's Z_d-Codes Threshold Estimates

Guillaume Duclos-Cianci; David Poulin

doi:10.1103/PhysRevA.87.062338

Kitaev's Z_d-Codes Threshold Estimates

Quantum Physics 2013-10-14 v1

Authors: Guillaume Duclos-Cianci , David Poulin

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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.

Keywords

quantum error correction

Cite

@article{arxiv.1302.3638,
  title  = {Kitaev's Z_d-Codes Threshold Estimates},
  author = {Guillaume Duclos-Cianci and David Poulin},
  journal= {arXiv preprint arXiv:1302.3638},
  year   = {2013}
}

Comments

5 pages, 5 figures

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