Leggett's theorem without inequalities

Guido Bacciagaluppi

Research output: Chapter in Book/Report/Conference proceedingChapter

1 Citation (Scopus)
9 Downloads (Pure)

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.
Original languageEnglish
Title of host publicationFoundations of Probability and Physics
Subtitle of host publication5, Växjö, Sweden 24-27 August 2008
EditorsL Accardi, G Adenier, A Khrennikov, C Fuchs, G Jaeger, J A Larsson, S Stenholm
Place of PublicationMelville, NY, USA
PublisherAmerican Institute of Physics
Pages233-240
Number of pages8
ISBN (Print)0735406367 , 978-0735406360
DOIs
Publication statusPublished - 19 Apr 2009
Event5th Conference on Foundations of Probability and Physics - Växjö, Sweden
Duration: 24 Aug 200827 Aug 2008

Publication series

NameConference Proceedings
PublisherAmerican Institute of Physics
Volume1101

Conference

Conference5th Conference on Foundations of Probability and Physics
CountrySweden
City Växjö
Period24/08/0827/08/08

Keywords

  • nonlocality
  • hidden variables

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  • Cite this

    Bacciagaluppi, G. (2009). Leggett's theorem without inequalities. In L. Accardi, G. Adenier, A. Khrennikov, C. Fuchs, G. Jaeger, J. A. Larsson, & S. Stenholm (Eds.), Foundations of Probability and Physics: 5, Växjö, Sweden 24-27 August 2008 (pp. 233-240). (Conference Proceedings; Vol. 1101). American Institute of Physics. https://doi.org/10.1063/1.3109945