Leggett's theorem without inequalities

Guido Bacciagaluppi

doi:10.1063/1.3109945

Leggett's theorem without inequalities

Guido Bacciagaluppi

Philosophy

Research output: Chapter in Book/Report/Conference proceeding › Chapter

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 language	English
Title of host publication	Foundations of Probability and Physics
Subtitle of host publication	5, Växjö, Sweden 24-27 August 2008
Editors	L Accardi, G Adenier, A Khrennikov, C Fuchs, G Jaeger, J A Larsson, S Stenholm
Place of Publication	Melville, NY, USA
Publisher	American Institute of Physics
Pages	233-240
Number of pages	8
ISBN (Print)	0735406367 , 978-0735406360
DOIs	https://doi.org/10.1063/1.3109945
Publication status	Published - 19 Apr 2009
Event	5th Conference on Foundations of Probability and Physics - Växjö, Sweden Duration: 24 Aug 2008 → 27 Aug 2008

Publication series

Name	Conference Proceedings
Publisher	American Institute of Physics
Volume	1101

Conference

Conference	5th Conference on Foundations of Probability and Physics
Country/Territory	Sweden
City	Växjö
Period	24/08/08 → 27/08/08

Keywords

nonlocality
hidden variables

Access to Document

10.1063/1.3109945

Cite this

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 proceeding › Chapter

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

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A2 - Stenholm, S

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Leggett's theorem without inequalities

Abstract

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Keywords

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Cite this