2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/216762We 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.4 pages, 2 figures, Accepted by Phys. Rev. A as a Rapid CommunicationQuantum Physicstext