Conditions for the confirmation of three-particle non-locality
Peter Mitchell, Sandu Popescu, David Roberts
Abstract
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 entanglement 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.
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