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.
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Fivel, D.I. Multiparticle Entanglement. Foundations of Physics 29, 561–570 (1999). https://doi.org/10.1023/A:1018812209091
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DOI: https://doi.org/10.1023/A:1018812209091