Scarola, Vito W.Das Sarma, S.2017-02-202017-02-202008-021050-2947http://hdl.handle.net/10919/75075Certain 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.In CopyrightArticle - Refereedhttps://doi.org/10.1103/PhysRevA.77.023612772Scarola, VW [0000-0002-8653-2723]