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

Fingerprint

Hidden Variables
Theorem
Entangled State
Hilbert space
Prediction
Independence
Model
Generalization
Class

Keywords

  • nonlocality
  • hidden variables

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). Melville, NY, USA: American Institute of Physics. https://doi.org/10.1063/1.3109945

Leggett's theorem without inequalities. / Bacciagaluppi, Guido.

Foundations of Probability and Physics: 5, Växjö, Sweden 24-27 August 2008. ed. / L Accardi; G Adenier; A Khrennikov; C Fuchs; G Jaeger; J A Larsson; S Stenholm. Melville, NY, USA : American Institute of Physics, 2009. p. 233-240 (Conference Proceedings; Vol. 1101).

Research output: Chapter in Book/Report/Conference proceedingChapter

Bacciagaluppi, G 2009, Leggett's theorem without inequalities. in L Accardi, G Adenier, A Khrennikov, C Fuchs, G Jaeger, JA Larsson & S Stenholm (eds), Foundations of Probability and Physics: 5, Växjö, Sweden 24-27 August 2008. Conference Proceedings, vol. 1101, American Institute of Physics, Melville, NY, USA, pp. 233-240, 5th Conference on Foundations of Probability and Physics , Växjö, Sweden, 24/08/08. https://doi.org/10.1063/1.3109945
Bacciagaluppi G. Leggett's theorem without inequalities. In Accardi L, Adenier G, Khrennikov A, Fuchs C, Jaeger G, Larsson JA, Stenholm S, editors, Foundations of Probability and Physics: 5, Växjö, Sweden 24-27 August 2008. Melville, NY, USA: American Institute of Physics. 2009. p. 233-240. (Conference Proceedings). https://doi.org/10.1063/1.3109945
Bacciagaluppi, Guido. / Leggett's theorem without inequalities. Foundations of Probability and Physics: 5, Växjö, Sweden 24-27 August 2008. editor / L Accardi ; G Adenier ; A Khrennikov ; C Fuchs ; G Jaeger ; J A Larsson ; S Stenholm. Melville, NY, USA : American Institute of Physics, 2009. pp. 233-240 (Conference Proceedings).
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