Three-particle entanglement versus three-particle nonlocality
Abstract
The notions of three-particle entanglement and three-particle 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 three-particle entanglement, but which are nevertheless useless at proving three-particle nonlocality. In particular, it is shown that the quantum predictions giving a maximal violation of Mermin's three-particle 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 three-particle entanglement and three-particle 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:quant-ph/0202139
- Bibcode:
- 2002PhRvA..66b4102C
- Keywords:
-
- 03.65.Ud;
- 03.65.Ta;
- Entanglement and quantum nonlocality;
- Foundations of quantum mechanics;
- measurement theory;
- Quantum Physics
- E-Print:
- REVTeX4, 4 pages, journal version