Two paradigms for topological quantum computation

Details Two paradigms for topological quantum computation Two paradigms for topological quantum computation

2008-03-08

arxiv.org/abs/0803.1258v1

Mathematics

Geometric Topology

3 figures, 1 table

Scientific paper

We present two paradigms relating algebraic, topological and quantum computational statistics for the topological model for quantum computation. In particular we suggest correspondences between the computational power of topological quantum computers, computational complexity of link invariants and images of braid group representations. While at least parts of these paradigms are well-known to experts, we provide supporting evidence for them in terms of recent results. We give a fairly comprehensive list of known examples and formulate two conjectures that would further support the paradigms.

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