Proposed all-versus-nothing violation of local realism in the Kitaev   spin-lattice model
  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. 
Ming-Guang Hu, Dong-Ling Deng, Jing-Ling Chen