Non-Abelian anyonic interferometry with a multi-photon spin lattice simulator

Details Non-Abelian anyonic interferometry with a multi-photon spin lattice simulator Non-Abelian anyonic interferometry with a multi-photon spin lattice simulator

2009-06-24

arxiv.org/abs/0906.4578v2

New J. Phys. 12, 053011 (2010).

Physics

Quantum Physics

13 pages, 5 figures. Several references added in v2

Scientific paper

10.1088/1367-2630/12/5/053011

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.

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