PIRSA:15110086 Scientific Series Quantum Information

DOI10.48660/15110086

Series: Perimeter Institute Quantum Discussions

Brell, C. (2015). Error-correction in non-abelian anyon models. Perimeter Institute. https://pirsa.org/15110086

Brell, Courtney. Error-correction in non-abelian anyon models. Perimeter Institute, Nov. 11, 2015, https://pirsa.org/15110086 

@misc{ pirsa_PIRSA:15110086,
  doi = {10.48660/15110086},
  url = {https://pirsa.org/15110086},
  author = {Brell, Courtney},
  keywords = {Quantum Information},
  language = {en},
  title = {Error-correction in non-abelian anyon models},
  publisher = {Perimeter Institute},
  year = {2015},
  month = {nov},
  note = {PIRSA:15110086 see, \url{https://pirsa.org}}
}

Abstract

Scalable anyonic topological quantum computation requires the error-correction of non-abelian anyon systems. In contrast to abelian topological codes such as the toric code, the design, modelling, and simulation of error-correction protocols for non-abelian anyon codes is still in its infancy. Using a phenomenological noise model, we adapt abelian topological decoding protocols to the non-abelian setting and simulate their behaviour. We also show how to simulate error-correction in universal anyon models by exploiting the special structure of typical noise patterns.

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