PIRSA:13050024 Conference Quantum Information

DOI10.48660/13050024

Conference/School: Emergence & Entanglement II 2013

Bombin, H. (2013). Topological Order with a Twist: Ising Anyons from an Abelian Model. Perimeter Institute. https://pirsa.org/13050024

Bombin, Hector. Topological Order with a Twist: Ising Anyons from an Abelian Model. Perimeter Institute, May. 06, 2013, https://pirsa.org/13050024 

@misc{ pirsa_PIRSA:13050024,
  doi = {10.48660/13050024},
  url = {https://pirsa.org/13050024},
  author = {Bombin, Hector},
  keywords = {Quantum Information},
  language = {en},
  title = {Topological Order with a Twist: Ising Anyons from an Abelian Model},
  publisher = {Perimeter Institute},
  year = {2013},
  month = {may},
  note = {PIRSA:13050024 see, \url{https://pirsa.org}}
}

Abstract

Anyon models can be symmetric under some permutations of their topological charges. One can then conceive topological defects that, under monodromy, transform anyons according to a symmetry. We study the realization of such defects in the toric code model, showing that a process where defects are braided and fused has the same outcome as if they were Ising anyons.

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