ENTROPIC BELL INEQUALITIES

We derive entropic Bell inequalities from considering entropy Venn dia grams. These entropic inequalities, akin to the Braunstein-Caves inequ alities, are violated for a quantum-mechanical Einstein-Podolsky-Rosen pair, which implies that the conditional entropies of Bell variables must be negative in this case. This suggests that the satisfaction of entropic Bell inequalities is equivalent to the non-negativity of cond itional entropies as a necessary condition for separability.