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

Physical Review Letters
 Pub Date:
 July 2010
 DOI:
 10.1103/PhysRevLett.105.030403
 arXiv:
 arXiv:1004.1838
 Bibcode:
 2010PhRvL.105c0403B
 Keywords:

 05.30.Pr;
 03.67.Lx;
 73.43.Cd;
 Fractional statistics systems;
 Quantum computation;
 Theory and modeling;
 Condensed Matter  Strongly Correlated Electrons;
 High Energy Physics  Theory;
 Quantum Physics
 EPrint:
 As accepted in journal