title: Fault-tolerant Greenberger-Horne-Zeilinger paradox based on non-Abelian anyons.
abstract: We propose a scheme to test the Greenberger-Horne-Zeilinger paradox based on braidings of non-Abelian anyons, which are exotic quasiparticle excitations of topological states of matter. Because topological ordered states are robust against local perturbations, this scheme is in some sense "fault-tolerant" and might close the detection inefficiency loophole problem in previous experimental tests of the Greenberger-Horne-Zeilinger paradox. In turn, the construction of the Greenberger-Horne-Zeilinger paradox reveals the nonlocal property of non-Abelian anyons. Our results indicate that the non-Abelian fractional statistics is a pure quantum effect and cannot be described by local realistic theories. Finally, we present a possible experimental implementation of the scheme based on the anyonic interferometry technologies.
authors.affiliation: Theoretical Physics Division, Chern Institute of Mathematics, Nankai University, Tianjin 300071, People's Republic of China.
authors.forename: Dong-Ling
authors.initials: DL
authors.lastname: Deng
authors.forename: Chunfeng
authors.initials: C
authors.lastname: Wu
authors.forename: Jing-Ling
authors.initials: JL
authors.lastname: Chen
authors.forename: C H
authors.initials: CH
authors.lastname: Oh