Universal Quantum Computation with Abelian Anyon Models

Details Universal Quantum Computation with Abelian Anyon Models Universal Quantum Computation with Abelian Anyon Models

2009-04-28

arxiv.org/abs/0904.4373v2

LNCS 5906, 56-65 (2009)

Physics

Quantum Physics

10 pages, 3 figures, presented at 6th QPL workshop

Scientific paper

We consider topological quantum memories for a general class of abelian anyon models defined on spin lattices. These are non-universal for quantum computation when restricting to topological operations alone, such as braiding and fusion. The effects of additional non-topological operations, such as spin measurements, are studied. These are shown to allow universal quantum computation, while still utilizing topological protection. Our work gives an insight into the relation between abelian models and their non-abelian counterparts.

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