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Quantum Error Correction Fault Tolerance
Topological Quantum Computing
Topological Order with a Twist: Ising Anyons from an Abelian Model
arXiv
Authors: H. Bombin
Year
2010
Paper ID
8972
Status
Preprint
Abstract Read
~2 min
Abstract Words
71
Citations
N/A
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.
Why This Paper Matters
- This paper contributes to the Quantum Error Correction & Fault Tolerance research area in the Quantum Articles archive.
- It adds a 2010 reference point for readers tracking recent quantum research.
- Anyon models can be symmetric under some permutations of their topological charges.
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