Skip to main content

Advertisement

SpringerLink
Log in

Testing Born’s Rule in Quantum Mechanics for Three Mutually Exclusive Events

  • Published:
Foundations of Physics Aims and scope Submit manuscript

Abstract

We present a new experimental approach using a three-path interferometer and find a tighter empirical upper bound on possible violations of Born’s Rule. A deviation from Born’s rule would result in multi-order interference. Among the potential systematic errors that could lead to an apparent violation we specifically study the nonlinear response of our detectors and present ways to calibrate this error in order to obtain an even better bound.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Rodgers, P.: Physics world, p. 9/15 (2002). http://physicsworld.com/cws/article/print/9745

  2. Sinha, U., Couteau, C., Medendorp, Z., Sollner, I., Laflamme, R., Sorkin, R., Weihs, G.: AIP Conf. Proc. 1101(1), 200 (2009). doi:10.1063/1.3109942

    Article  ADS  Google Scholar 

  3. Sinha, U., Couteau, C., Jennewein, T., Laflamme, R., Weihs, G.: Science 329, 418 (2010). doi:10.1126/science.1190545

    Article  MathSciNet  ADS  MATH  Google Scholar 

  4. Ududec, C., Barnum, H., Emerson, J.: Found. Phys. 41(3), 396 (2010). doi:10.1007/s10701-010-9429-z

    Article  MathSciNet  ADS  Google Scholar 

  5. Sorkin, R.D.: Mod. Phys. Lett. A 9, 3119 (1994)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  6. Mattle, K., Michler, M., Weinfurter, H., Zeilinger, A., Żukowski, M.: Appl. Phys. B 60, S111 (1995)

    Google Scholar 

  7. De Raedt, H., Michielsen, K., Hess, K.: Multi-order interference is generally nonzero. arXiv:1103.0121v1 (2011)

  8. Davidson, F., Mandel, L.: J. Appl. Phys. 39(1), 62 (1968). doi:10.1063/1.1655781

    Article  ADS  Google Scholar 

  9. Yang, S., Vayshenker, I., Li, X., Scott, T.R.: In: NCSL Workshop and Symposium (1994)

    Google Scholar 

  10. Coslovi, L., Righini, F.: Appl. Opt. 19(18), 053805 (1980)

    Article  Google Scholar 

  11. Weihs, G., Reck, M., Weinfurter, H., Zeilinger, A.: Opt. Lett. 21(4), 302 (1996)

    Article  ADS  Google Scholar 

Download references

Author information

Author notes

  1. Immo Söllner

    Present address: Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, 2100, Copenhagen, Denmark

Authors and Affiliations

  1. Institut für Experimentalphysik, Universität Innsbruck, Technikerstraße 25, 6020, Innsbruck, Austria

    Immo Söllner, Benjamin Gschösser, Patrick Mai, Benedikt Pressl, Zoltán Vörös & Gregor Weihs

Authors
  1. Immo Söllner
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Benjamin Gschösser
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Patrick Mai
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Benedikt Pressl
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Zoltán Vörös
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. Gregor Weihs
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Gregor Weihs.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Söllner, I., Gschösser, B., Mai, P. et al. Testing Born’s Rule in Quantum Mechanics for Three Mutually Exclusive Events. Found Phys 42, 742–751 (2012). https://doi.org/10.1007/s10701-011-9597-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10701-011-9597-5

Keywords

Search

Navigation