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The idea that the whole can represent more than the sum of the parts is of fundamental importance in science, as illustrated in complexity theory: the emergent behavior of many complex systems cannot simply be derived from their individual components. In quantum mechanics, this phenomenon appears in a particularly subtle form: certain physical quantities, relevant to the description of quantum systems, are nonadditive. Loosely speaking, it is as if 0 + 0 > 0. Sometimes one can get something out of nothing! The origin of this effect lies in the fact that quantum mechanics allows for two (or more) systems to be measured jointly in a way that admits no analog in classical physics. Writing in Physical Review Letters, Carlos Palazuelos at the Institute of Mathematical Sciences in Spain presents a remarkable illustration of this phenomenon, showing that quantum nonlocality, arguably the most counterintuitive feature of quantum theory, is nonadditive [1]: the combination of a number of local quantum states can be nonlocal.