English

Topological Order with a Twist: Ising Anyons from an Abelian Model

Strongly Correlated Electrons 2010-07-29 v2 High Energy Physics - Theory Quantum Physics

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. These ideas can also be applied in the context of topological codes.

Keywords

Cite

@article{arxiv.1004.1838,
  title  = {Topological Order with a Twist: Ising Anyons from an Abelian Model},
  author = {H. Bombin},
  journal= {arXiv preprint arXiv:1004.1838},
  year   = {2010}
}

Comments

As accepted in journal