Bell's inequality for n spin-s particles

Abstract

The Mermin-Klyshko inequality for n spin-1/2 particles and two dichotomic observables is generalized to n spin-s particles and two maximal observables. It is shown that some multiparty multilevel Greenberger-Horne-Zeilinger states [A. Cabello, Phys. Rev. A 63, 022104 (2001)] maximally violate this inequality for any s. For a fixed n, the magnitude of the violation is constant for any s, which provides a simple demonstration and generalizes the conclusion reached by Gisin and Peres for two spin-s particles in the singlet state [Phys. Lett. A 162, 15 (1992)]. For a fixed s, the violation grows exponentially with n, which provides a generalization to any s of Mermin's conclusion for n spin-1/2 particles [Phys. Rev. Lett. 65, 1838 (1990)].

REVTeX4, 4 pages

References in corpus (3)

• All multipartite Bell correlation inequalities for two dichotomic observables per site
• Stimulated emission of polarization-entangled photons
• Experimental violation of a spin-1 Bell inequality using maximally-entangled four-photon states

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• Quantum mechanical violation of macrorealism for large spin and its robustness against coarse-grained measurements
• Optimal violation of Leggett-Garg inequality for arbitrary spin and emergence of classicality through unsharp measurement
• Bipartite qutrit local realist inequalities and the robustness of their quantum mechanical violation
• Persistence of quantum violation of macrorealism for large spins even under coarsening of measurement times
• Operational nonclassicality of local multipartite correlations in the limited-dimensional simulation scenario
• Mesoscopic and macroscopic quantum correlations in photonic, atomic and optomechanical systems
• Characterization of the quantumness of unsteerable tripartite correlations
• Protecting temporal correlations of two-qubit states using quantum channels with memory
• Classical limit of entangled states of two angular momenta
• Single Bell inequality to detect genuine nonlocality in three-qubit genuinely entangled states
• Quantum walk on a square lattice with identical particles