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2009
- handle: 10670/1.911l7t
- halshs: halshs-00996308
- doi: 10.1063/1.3109945
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info:eu-repo/semantics/altIdentifier/doi/10.1063/1.3109945
info:eu-repo/semantics/OpenAccess
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hidden variables quantum mechanicsSujets proches
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Guido Bacciagaluppi, « Leggett's theorem without inequalities », HAL-SHS : histoire, philosophie et sociologie des sciences et des techniques, ID : 10.1063/1.3109945
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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.