RANDOMNESS, NONLOCALITY, AND INFORMATION IN ENTANGLED CORRELATIONS

It is shown that the Einstein-Podolsky-Rosen (EPR) correlations for ar bitrary spin s and the Greenberger-Horne-Zeilinger (GHZ) correlations for three particles can be described by nonlocal joint and conditional quantum probabilities. The nonlocality of these probabilities makes t he Bell inequalities void. A description that exhibits the relation be tween the randomness and the nonlocality of entangled correlations is introduced. Entangled EPR and GHZ correlations are studied using the G ibbs-Shannon entropy. The nonlocal character of the EPR correlations i s tested using the information Bell inequalities. Relations between th e randomness, the nonlocality, and the entropic information for the EP R and the GHZ correlations are established and discussed.