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Bell proved that quantum entanglement enables two space-like separatedparties to exhibit classically impossible correlations. Even though thesecorrelations are stronger than anything classically achievable, they cannot beharnessed to make instantaneous (faster than light) communication possible.Yet, Popescu and Rohrlich have shown that even stronger correlations can bedefined, under which instantaneous communication remains impossible. Thisraises the question: Why are the correlations achievable by quantum mechanicsnot maximal among those that preserve causality? We give a partial answer tothis question by showing that slightly stronger correlations would result in aworld in which communication complexity becomes trivial.Comment: 13 pages, no figure

Limit on Nonlocality in Any World in Which Communication Complexity Is Not Trivial