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

作者：Héctor Bombín · 发表于：Physical Review Letters · 年份：2010 · DOI：10.1103/physrevlett.105.030403 · 被引用次数：387 · 研究领域：Quantum many-body systems、Quantum Computing Algorithms and Architecture、Quantum chaos and dynamical systems

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.