Emulating non-Abelian topological matter in cold-atom optical lattices. Scarola, V., W. & Das Sarma, S. Physical Review A, 77(2):23612, 2008.
Emulating non-Abelian topological matter in cold-atom optical lattices [pdf]Paper  Emulating non-Abelian topological matter in cold-atom optical lattices [link]Website  doi  abstract   bibtex   
Certain proposed extended Bose-Hubbard models may exhibit topologically ordered ground states with excitations obeying non-Abelian braid statistics. A sufficient tuning of Hubbard parameters could yield excitation braiding rules allowing implementation of a universal set of topologically protected quantum gates. We discuss potential difficulties in realizing a model with a proposed non-Abelian topologically ordered ground state using optical lattices containing bosonic dipoles. Our direct implementation scheme does not realize the necessary anisotropic hopping, anisotropic interactions, and low temperatures.

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