The uncertainty principle determines the non-locality of quantum mechanics

Details The uncertainty principle determines the non-locality of quantum mechanics The uncertainty principle determines the non-locality of quantum mechanics

2010-04-14

arxiv.org/abs/1004.2507v2

Science 19 November 2010: Vol. 330 no. 6007 pp. 1072-1074

Physics

Quantum Physics

28 pages, 6 figures

Scientific paper

10.1126/science.1192065

Two central concepts of quantum mechanics are Heisenberg's uncertainty principle, and a subtle form of non-locality that Einstein famously called ``spooky action at a distance''. These two fundamental features have thus far been distinct concepts. Here we show that they are inextricably and quantitatively linked. Quantum mechanics cannot be more non-local with measurements that respect the uncertainty principle. In fact, the link between uncertainty and non-locality holds for all physical theories.More specifically, the degree of non-locality of any theory is determined by two factors -- the strength of the uncertainty principle, and the strength of a property called ``steering'', which determines which states can be prepared at one location given a measurement at another.

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