Threeparticle entanglement versus threeparticle nonlocality
Abstract
The notions of threeparticle entanglement and threeparticle nonlocality are discussed in the light of Svetlichny's inequality [Phys. Rev. D 35, 3066 (1987)]. It is shown that there exist sets of measurements, which can be used to prove threeparticle entanglement, but which are nevertheless useless at proving threeparticle nonlocality. In particular, it is shown that the quantum predictions giving a maximal violation of Mermin's threeparticle Bell inequality [Phys. Rev. Lett. 65, 1838 (1990)] can be reproduced by a hybrid hidden variables model in which nonlocal correlations are present only between two of the particles. It should be possible, however, to test the existence of both threeparticle entanglement and threeparticle nonlocality for any given quantum state via Svetlichny's inequality.
 Publication:

Physical Review A
 Pub Date:
 August 2002
 DOI:
 10.1103/PhysRevA.66.024102
 arXiv:
 arXiv:quantph/0202139
 Bibcode:
 2002PhRvA..66b4102C
 Keywords:

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