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 [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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 title = {Emulating non-Abelian topological matter in cold-atom optical lattices},
 type = {article},
 year = {2008},
 pages = {23612},
 volume = {77},
 websites = {http://dx.doi.org/10.1103/PhysRevA.77.023612},
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 abstract = {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.},
 bibtype = {article},
 author = {Scarola, V. W. and Das Sarma, S.},
 doi = {10.1103/PhysRevA.77.023612},
 journal = {Physical Review A},
 number = {2}
}

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