Primary Menu Search
  • Aims & Scope
  • Editorial Board
  • Content
  • Book Reviews
  • Supplement
  • Members
  • Submit
  • Contact IJQF

International Journal of Quantum Foundations

An online forum for exploring the conceptual foundations of quantum mechanics, quantum field theory and quantum gravity

You are here: Home ∼ Comment on Causal Networks and Freedom of Choice in Bell’s Theorem

Comment on Causal Networks and Freedom of Choice in Bell’s Theorem

Published by International Journal of Quantum Foundations on March 31, 2022

Volume 8, Issue 2, pages 117-124

Marian Kupczynski

Bell inequalities may only be derived, if hidden variables do not depend on the experimental settings. The stochastic independence of hidden and setting variables is called: freedom of choice, free will, measurement independence (MI) or no conspiracy. By imbedding the Bell causal structure in a larger causal network the authors correctly prove, that one can explain and quantify possible violation of MI without evoking super-determinism. They assume the independence of the variables that causally determine the settings and investigate how they might become correlated with hidden variables (e.g., when the cosmic photons enter the laboratory). Using their extended causal networks they derive a contextual probabilistic model on which their further correct results are based. The authors seem to ignore that contextual probabilistic model may be derived directly using only probabilistic concepts and incorporating correctly setting dependent variables describing measuring instruments. In these contextual probabilistic models experimenters’ freedom of choice is not compromised and the results of Bell Tests including an apparent violation of Einsteinian non-signaling may be explained in a locally causal way. Talking about freedom of choice is misleading and is rooted in incorrect understanding of Bayes Theorem. We explain why MI should be called noncontextuality and why its violation in Bell Tests confirms only the contextual character of quantum observables. Therefore, contextuality and not experimenters’ freedom of choice are important resources in quantum information.

Full Text Download (461k)

Posted in Volume 8, Issue 2, April 2022 Tagged Original Paper

Article written by International Journal of Quantum Foundations

International Journal of Quantum Foundations

← Previous Next →

Latest Issues

  • Volume 8, Issue 1, January 2022
  • Volume 8, Issue 2, April 2022
  • Volume 8, Issue 3, July 2022
  • Volume 8, Issue 4, October 2022
  • Volume 9, Issue 1, January 2023

IJQF Supplement

  • Volume 4, Issue 1, April 2022
  • Volume 4, Issue 2, July 2022
  • Volume 5, Issue 1, January 2023

IJQF Members

Newest | Active | Popular
  • Profile picture of editor
    editor
    active 1 day, 14 hours ago
  • Avatar
    Peter Holland
    active 2 days, 4 hours ago
  • Avatar
    Michael Dickson
    active 5 years, 5 months ago
  • Avatar
    Marco Genovese
    active 2 days, 6 hours ago
  • Profile picture of David Deutsch
    David Deutsch
    Not recently active

IJQF Forums

Newest | Active | Popular | Alphabetical
  • Group logo of 2019 International Workshop: Beyond Bell’s theorem
    2019 International Workshop: Beyond Bell’s theorem
    active 1 month, 4 weeks ago
  • Group logo of 2018 Workshop on Wigner’s Friend
    2018 Workshop on Wigner’s Friend
    active 3 years, 6 months ago
  • Group logo of 2016 International Workshop on Quantum Observers
    2016 International Workshop on Quantum Observers
    active 3 years, 10 months ago
  • Group logo of 2015 International Workshop on Quantum Foundations
    2015 International Workshop on Quantum Foundations
    active 4 years, 6 months ago
  • Group logo of John Bell Workshop 2014
    John Bell Workshop 2014
    active 5 years ago
  • Group logo of 2017 International Workshop: Collapse of the Wave Function
    2017 International Workshop: Collapse of the Wave Function
    active 5 years ago

Most Viewed

  • On Testing the Simulation Theory (15,771)
  • 2019 International Workshop: Beyond Bell’s theorem (3,286)
  • Latest Papers on Quantum Foundations (1,938)
  • Non-Relativistic Limit of the Dirac Equation (1,579)
  • OBITUARY FOR HEINZ-DIETER ZEH (1932 — 2018) (1,568)
  • International Journal of Quantum Foundations (1,325)
  • Review of “Foundations of Quantum Mechanics: An Exploration of the Physical Meaning of Quantum Theory” (1,140)
  • Taking Heisenberg’s Potentia Seriously (1,024)
  • The Meaning of the Wave Function: In Search of the Ontology of Quantum Mechanics (913)
  • On testing the simulation hypothesis (881)

Meta

  • Log in
  • Entries feed
  • Comments feed
  • WordPress.org

Primary Menu

  • Aims & Scope
  • Editorial Board
  • Content
  • Book Reviews
  • Supplement
  • Members
  • Submit
  • Contact IJQF

Copyright © 2023 International Journal of Quantum Foundations.

Powered by WordPress and Path. Back to Top