Leggett's theorem without inequalities

Details Leggett's theorem without inequalities Leggett's theorem without inequalities

2008-11-21

arxiv.org/abs/0811.3444v1

Physics

Quantum Physics

12pages. Foundations of Probability and Physics 5, Vaexjoe, Aug. 2008. Proceedings to be published by AIP

Scientific paper

10.1063/1.3109945

We prove a no-go theorem for a class of hidden variables theories that satisfy parameter independence. Specifically, we show that, assuming two conditions, there are no non-trivial hidden variables models of the quantum predictions for product measurements on two systems in any maximally entangled state in a Hilbert space of dimension at least 3x3. The two conditions are parameter independence and a condition that we call conditional parameter independence. The result is analogous to the recent no-go theorems based on Leggett's inequalities and their generalisations.

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