Conditions for the confirmation of three-particle nonlocality

Peter Mitchell, Sandu Popescu, David Roberts
2004 Physical Review A. Atomic, Molecular, and Optical Physics  
The notion of genuine three-particle non-locality introduced by Svetlichny Svetlichny is discussed. Svetlichny's inequality which can distinguish between genuine three-particle non-locality and two-particle non-locality is analyzed by reinterpreting it as a frustrated network of correlations. Its quantum mechanical maximum violation is derived and a situation is presented that produces the maximum violation. It is shown that the measurements performed in recent experiments to demonstrate GHZ
more » ... anglement Bouwmeester, Pan do not allow this inequality to be violated, and hence can not be taken as confirmation of genuine three-particle non-locality. Modifications to the experiments that would make such a confirmation possible are discussed.
doi:10.1103/physreva.70.060101 fatcat:qm7a2c4nefgvtjx3jwewaqjxrm