Bell's inequality for n spins particles
Abstract
The MerminKlyshko inequality for n spin1/2 particles and two dichotomic observables is generalized to n spins particles and two maximal observables. It is shown that some multiparty multilevel GreenbergerHorneZeilinger 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 spins 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)].
 Publication:

Physical Review A
 Pub Date:
 June 2002
 DOI:
 10.1103/PhysRevA.65.062105
 arXiv:
 arXiv:quantph/0202126
 Bibcode:
 2002PhRvA..65f2105C
 Keywords:

 03.65.Ud;
 03.65.Ta;
 Entanglement and quantum nonlocality;
 Foundations of quantum mechanics;
 measurement theory;
 Quantum Physics
 EPrint:
 REVTeX4, 4 pages