Inequalities that test locality in quantum mechanics

Details Inequalities that test locality in quantum mechanics Inequalities that test locality in quantum mechanics

2002-06-24

arxiv.org/abs/quant-ph/0206172v2

Physics

Quantum Physics

5 pages, 1 figure; the argument has been made clearer in the revised version; 1 reference added

Scientific paper

10.1103/PhysRevA.66.062104

Quantum theory violates Bell's inequality, but not to the maximum extent that is logically possible. We derive inequalities (generalizations of Cirel'son's inequality) that quantify the upper bound of the violation, both for the standard formalism and the formalism of generalized observables (POVMs). These inequalities are quantum analogues of Bell inequalities, and they can be used to test the quantum version of locality. We discuss the nature of this kind of locality. We also go into the relation of our results to an argument by Popescu and Rohrlich (Found. Phys. 24, 379 (1994)) that there is no general connection between the existence of Cirel'son's bound and locality.

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