Multiparticle Entanglement

Author: Fivel D.I.  

Publisher: Springer Publishing Company

ISSN: 0015-9018

Source: Foundations of Physics, Vol.29, Iss.4, 1999-04, pp. : 561-570

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Abstract

It is shown that completely entangled two-particle quantum states are simultaneous eigenstates of a large set of commuting, nonlocal observables, a characterization that generalizes to multiparticle systems. This leads to a nonstatistical proof of the Bell-EPR no-hidden-variable theorem for two-particle systems and to a family of multiparticle generalizations of the three-particle system of Greenberger, Horne, and Zeilinger.