Proposed all-versus-nothing violation of local realism in the Kitaev spin-lattice model

Details Proposed all-versus-nothing violation of local realism in the Kitaev spin-lattice model Proposed all-versus-nothing violation of local realism in the Kitaev spin-lattice model

2008-10-07

arxiv.org/abs/0810.1157v3

Phys. Rev. A 79, 010301(R) (2009)

Physics

Quantum Physics

4 pages, 2 figures, Accepted by Phys. Rev. A as a Rapid Communication

Scientific paper

10.1103/PhysRevA.79.010301

We investigate the nonlocal property of the fractional statistics in Kitaev's toric code model. To this end, we construct the Greenberger-Horne-Zeilinger paradox which builds a direct conflict between the statistics and local realism. It turns out that the fractional statistics in the model is purely a quantum effect and independent of any classical theory.We also discuss a feasible experimental scheme using anyonic interferometry to test this contradiction.

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