Maximal violation of Bell inequalities by position measurements

Details Maximal violation of Bell inequalities by position measurements Maximal violation of Bell inequalities by position measurements

2009-12-18

arxiv.org/abs/0912.3740v1

Physics

Quantum Physics

13 pages, 4 figures

Scientific paper

We show that it is possible to find maximal violations of the CHSH-Bell inequality using only position measurements on a pair of entangled non-relativistic free particles. The device settings required in the CHSH inequality are done by choosing one of two times at which position is measured. For different assignments of the "+" outcome to positions, namely to an interval, to a half line, or to a periodic set, we determine violations of the inequalities, and states where they are attained. These results have consequences for the hidden variable theories of Bohm and Nelson, in which the two-time correlations between distant particle trajectories have a joint distribution, and hence cannot violate any Bell inequality.

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