Leggett's theorem without inequalities

Guido Bacciagaluppi (1)

1 IHPST - Institut d'Histoire et de Philosophie des Sciences et des Techniques

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.

Mots clés: hidden variables; quantum mechanics

Domaines: Histoire, Philosophie et Sociologie des sciences

Guido Bacciagaluppi. Leggett's theorem without inequalities. L. Accardi, G. Adenier, C. Fuchs, G. Jaeger, A. Yu. Khrennikov, J.-Å. Larsson and S. Stenholm. Foundations of Probability and Physics-5, American Institute of Physics Conference Proceedings, New York, AIP., pp.233-240, 2009, ⟨10.1063/1.3109945⟩. ⟨halshs-00996308⟩