Asymmetric multipartite greenberger-horne-zeilinger states and bell inequalities

Abstract

The multiparticle generalized Greenberger-Horne-Zeilinger (GHZ) states are discussed. It is found that for a specific range of parameters and for an odd number of qubits they do not violate any Bell inequality for correlation functions. The results show that multiparticle Clauser-Horne-type (CH) inequalities involving probabilities are stronger tools for analyzing violations of local realism in multiparticle systems as compared to inequalities involving correlation functions. The Pitovsky-Svozil CH-type inequalities form a more stringent constraint on local realism as compared to WWWZB correlation-function.