Leggett's theorem without inequalities
Abstract
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.
Cite
@article{arxiv.0811.3444,
title = {Leggett's theorem without inequalities},
author = {Guido Bacciagaluppi},
journal= {arXiv preprint arXiv:0811.3444},
year = {2014}
}
Comments
13 pages. As compared to v1, this version includes the corrections in proof. Published in L. Accardi, G. Adenier, C. Fuchs, G. Jaeger, A. Yu. Khrennikov, J.-{\AA}. Larsson and S. Stenholm (eds), Foundations of Probability and Physics-5, American Institute of Physics Conference Proceedings, Vol. 1101 (New York: AIP, 2009), pp. 233-240