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Creation, Manipulation, and Detection of Abelian and Non-Abelian Anyons in Optical Lattices

Creation, Manipulation, and Detection of Abelian and Non-Abelian Anyons in Optical Lattices

Anyons are particlelike excitations of strongly correlated phases of matter with fractional statistics, characterized by nontrivial changes in the wave function, generalizing Bose and Fermi statistics, when two of them are interchanged. This can be used to perform quantum computations [A. Yu. Kitaev, Ann. Phys. (N.Y.) 303, 2 (2003)]. We …