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Experimental Test of a Classical Causal Model for Quantum Correlations

  • Christina GiarmatziEmail author
Chapter
Part of the Springer Theses book series (Springer Theses)

Abstract

We experimentally test a causal model that can explain Bell correlations—with a causal link between the outcomes. We find insufficient evidence that this model holds. With the same setup, we also obtain correlations that cannot be explained with this causal model, therefore ruling out completely this causal model as an explanation for quantum correlations in a Bell-type experiment.

References

  1. 1.
    Chaves R, Kueng R, Brask JB, Gross D (2015) Unifying framework for relaxations of the causal assumptions in bell’s theorem. Phys Rev Lett 114:140403ADSCrossRefGoogle Scholar
  2. 2.
    Bell JS (1964) On the Einstein-Podolsky-Rosen paradox. Physics 1:195MathSciNetCrossRefGoogle Scholar
  3. 3.
    Ringbauer M et al (2016) Experimental test of nonlocal causality. Sci Adv 2:e1600162ADSCrossRefGoogle Scholar
  4. 4.
    Brans CH (1988) Bell’s theorem does not eliminate fully causal hidden variables. Int J Theor Phys 27:219–226CrossRefGoogle Scholar
  5. 5.
    Branciard C et al (2008) Testing quantum correlations versus single-particle properties within Leggett’s model and beyond. Nat Phys 4:681–685CrossRefGoogle Scholar
  6. 6.
    Hall MJW (2010) Local deterministic model of singlet state correlations based on relaxing measurement independence. Phys Rev Lett 105:250404ADSCrossRefGoogle Scholar
  7. 7.
    Hall MJW (2011) Relaxed bell inequalities and Kochen-Specker theorems. Phys Rev A 84:022102ADSCrossRefGoogle Scholar
  8. 8.
    Barrett J, Gisin N (2011) How much measurement independence is needed to demonstrate nonlocality? Phys Rev Lett 106:100406ADSCrossRefGoogle Scholar
  9. 9.
    Wood CJ, Spekkens RW (2015) The lesson of causal discovery algorithms for quantum correlations: causal explanations of bell-inequality violations require fine-tuning. New J Phys 17:033002CrossRefGoogle Scholar
  10. 10.
    Aktas D et al (2015) Demonstration of quantum nonlocality in the presence of measurement dependence. Phys Rev Lett 114:220404ADSCrossRefGoogle Scholar
  11. 11.
    Pütz G, Gisin N Measurement dependent locality (2015). arXiv:1510.09087
  12. 12.
    Pearl J (2009) Causality. Cambridge University PressGoogle Scholar
  13. 13.
    Spirtes P, Glymour N, Scheines R (2001) Causation, prediction, and search, 2nd edn. The MIT PressGoogle Scholar
  14. 14.
    Geiger D, Meek C (1999) Quantifier elimination for statistical problems. In: Proceedings of the 15th conference on uncertainty in artificial intelligence, pp 226–235Google Scholar
  15. 15.
    Tian J, Pearl J (2002) On the testable implications of causal models with hidden variables. In: Proceedings of the eighteenth conference on uncertainty in artificial intelligence, pp 519–527. Morgan Kaufmann Publishers IncGoogle Scholar
  16. 16.
    Chaves R et al (2014) Inferring latent structures via information inequalities. In: Proceedings of the 30th conference on uncertainty in artificial intelligence, pp 112–121Google Scholar
  17. 17.
    Mooij JM, Peters J, Janzing D, Zscheischler J, Schölkopf B (2014) Distinguishing cause from effect using observational data: methods and benchmarks. arXiv:1412.3773
  18. 18.
    Clauser JF, Horne MA, Shimony A, Holt RA (1969) Proposed experiment to test local hidden-variable theories. Phys Rev Lett 23:880–884ADSCrossRefGoogle Scholar
  19. 19.
    Janzing D, Balduzzi D, Grosse-Wentrup M, Schölkopf B (2013) Quantifying causal influences. Ann Statist 41:2324–2358MathSciNetCrossRefGoogle Scholar
  20. 20.
    Ried K et al (2015) A quantum advantage for inferring causal structure. Nat Phys 11:414–420CrossRefGoogle Scholar
  21. 21.
    Armstrong S et al (2015) Multipartite Einstein–Podolsky–Rosen steering and genuine tripartite entanglement with optical networks. Nat Phys 11:167 EPADSCrossRefGoogle Scholar
  22. 22.
    Hill S, Wootters WK (1997) Entanglement of a pair of quantum bits. Phys Rev Lett 78ADSCrossRefGoogle Scholar
  23. 23.
    Symul T, Assad SM, Lam PK (2011) Real time demonstration of high bitrate quantum random number generation with coherent laser light. App Phys Lett 98ADSCrossRefGoogle Scholar
  24. 24.
    Gallicchio J, Friedman AS, Kaiser DI (2014) Testing bell’s inequality with cosmic photons: closing the setting-independence loophole. Phys Rev Lett 112:110405ADSCrossRefGoogle Scholar
  25. 25.
    Costa F, Shrapnel S (2016) Quantum causal modelling. New J Phys 18:063032CrossRefGoogle Scholar
  26. 26.
    Chiribella G, D’Ariano GM, Perinotti P (2008) Transforming quantum operations: quantum supermaps 83:30004ADSCrossRefGoogle Scholar
  27. 27.
    Giarmatzi C, Costa F (2018) A quantum causal discovery algorithm. npj Quantum Inf 4:17Google Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.School of Mathematics and PhysicsThe University of QueenslandBrisbaneAustralia

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