Bell's inequality for n spin-s particles

Details Bell's inequality for n spin-s particles Bell's inequality for n spin-s particles

2002-02-21

arxiv.org/abs/quant-ph/0202126v3

Phys. Rev. A 65 (2002) 062105

Physics

Quantum Physics

REVTeX4, 4 pages

Scientific paper

10.1103/PhysRevA.65.062105

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)].

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