Leggett's theorem without inequalities: Foundations of Probability and Physics

Research output: Chapter in Book/Report/Conference proceedingChapterAcademicpeer-review

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
EditorsS 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
Externally publishedYes

Publication series

NameConference Proceedings

Keywords

  • nonlocality
  • hidden variables
  • QC Physics
  • B Philosophy (General)

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