Compact Bell inequalities for multipartite experiments

Abstract

A method for construction of the multipartite Clauser-Horne-Shimony-Holt (CHSH) type Bell inequalities, for the case of local binary observables, is presented. The standard CHSH-type Bell inequalities can be obtained as special cases. A unified framework to establish all kinds of CHSH-type Bell inequalities by increasing step by step the number of observers is given. As an application, compact Bell inequalities, for eight observers, involving just four correlation functions are proposed. They require much less experimental effort than standard methods and thus is experimentally friendly in multi-photon experiments.

5 pages; The title is changed; an author added; rewritten

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• Bell-type inequality and quantum nonlocality in four-qubit systems
• Violation of generalized Bell inequality and its optimal measurement settings
• Scalable Bell inequalities for multiqubit systems
• Experimental demonstration of the Bell-type inequalities for four qubit Dicke state using IBM Quantum Processing Units
• Generalized Iterative Formula for Bell Inequalities