title: Greenberger-Horne-Zeilinger paradoxes from qudit graph states.
abstract: One fascinating way of revealing quantum nonlocality is the all-versus-nothing test due to Greenberger, Horne, and Zeilinger (GHZ) known as the GHZ paradox. So far genuine multipartite and multilevel GHZ paradoxes are known to exist only in systems containing an odd number of particles. Here we shall construct GHZ paradoxes for an arbitrary number (greater than 3) of particles with the help of qudit graph states on a special kind of graphs, called GHZ graphs. Furthermore, based on the GHZ paradox arising from a GHZ graph, we derive a Bell inequality with two d-outcome observables for each observer, whose maximal violation attained by the corresponding graph state, and a Kochen-Specker inequality testing the quantum contextuality in a state-independent fashion.
authors.affiliation: Hefei National Laboratory for Physical Sciences at Microscale and Department of Modern Physics of University of Science and Technology of China, Hefei 230026, People's Republic of China.
authors.forename: Weidong
authors.initials: W
authors.lastname: Tang
authors.forename: Sixia
authors.initials: S
authors.lastname: Yu
authors.forename: C H
authors.initials: CH
authors.lastname: Oh