Non-Abelian anyonic interferometry with a multi-photon spin lattice simulator
arXiv:0906.4578 · doi:10.1088/1367-2630/12/5/053011
Abstract
Recently a pair of experiments demonstrated a simulation of Abelian anyons in a spin network of single photons. The experiments were based on an Abelian discrete gauge theory spin lattice model of Kitaev. Here we describe how to use linear optics and single photons to simulate non-Abelian anyons. The scheme makes use of joint qutrit-qubit encoding of the spins and the resources required are three pairs of parametric down converted photons and 14 beam splitters.
13 pages, 5 figures. Several references added in v2
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