Fast decoders for qudit topological codes

  title={Fast decoders for qudit topological codes},
  author={Hussain Md. Anwar and Benjamin J. Brown and Earl T. Campbell and Dan E. Browne},
  journal={New Journal of Physics},
  • Hussain Md. Anwar, Benjamin J. Brown, +1 author Dan E. Browne
  • Published 2014
  • Physics
  • New Journal of Physics
  • Qudit toric codes are a natural higher-dimensional generalization of the wellstudied qubit toric code. However, standard methods for error correction of the qubit toric code are not applicable to them. Novel decoders are needed. In this paper we introduce two renormalization group decoders for qudit codes and analyse their error correction thresholds and efficiency. The first decoder is a generalization of a ‘hard-decisions’ decoder due to Bravyi and Haah (arXiv:1112.3252). We modify this… CONTINUE READING