Skip to main content
SpringerLink
Log in

Quantum Analogues of Hardy’s Nonlocality Paradox

  • Published:
Foundations of Physics Aims and scope Submit manuscript

Abstract

Hardy’s nonlocality is a “nonlocality proof without inequalities”: it exemplifies that quantum correlations can be qualitatively stronger than classical correlations. This paper introduces variants of Hardy’s nonlocality in the CHSH scenario which are realized by the PR-box, but not by quantum correlations. Hence this new kind of Hardy-type nonlocality is a proof without inequalities showing that superquantum correlations can be qualitatively stronger than quantum correlations.

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. Boschi, D., Branca, S., De Martini, F., Hardy, L.: Ladder proof of nonlocality without inequalities: Theoretical and experimental results. Phys. Rev. Lett. 79(15), 2755–2758 (1997)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  2. Barrett, J., Linden, N., Massar, S., Pironio, S., Popescu, S., Roberts, D.: Nonlocal correlations as an information-theoretic resource. Phys. Rev. A 71(2), 022101 (2005)

    Article  ADS  Google Scholar 

  3. Clauser, J.F., Horne, M.A., Shimony, A., Holt, R.A.: Proposed experiment to test local hidden-variable theories. Phys. Rev. Lett. 23(15), 880–884 (1969)

    Article  ADS  Google Scholar 

  4. Fine, A.: Hidden variables, joint probability, and the bell inequalities. Phys. Rev. Lett. 48(5), 291–295 (1982)

    Article  MathSciNet  ADS  Google Scholar 

  5. Hardy, L.: Nonlocality for two particles without inequalities for almost all entangled states. Phys. Rev. Lett. 71(11), 1665–1668 (1993)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  6. Masanes, L.: Extremal quantum correlations for n parties with two dichotomic observables per site (2005). arXiv:quant-ph/0512100v1

  7. Mermin, N.D.: Quantum mysteries refined. Am. J. Phys. 62(10), 880–887 (1994)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  8. Popescu, S., Rohrlich, D.: Quantum nonlocality as an axiom. Found. Phys. 24(3), 379–385 (1994)

    Article  MathSciNet  ADS  Google Scholar 

  9. White, A.G., James, D.F.V., Eberhard, P.H., Kwiat, P.G.: Nonmaximally entangled states: Production, characterization, and utilization. Phys. Rev. Lett. 83(16), 3103–3107 (1999)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. ICFO-Institut de Ciencies Fotoniques, Mediterranean Technology Park, 08860, Castelldefels (Barcelona), Spain

    Tobias Fritz

Authors
  1. Tobias Fritz
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Tobias Fritz.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fritz, T. Quantum Analogues of Hardy’s Nonlocality Paradox. Found Phys 41, 1493–1501 (2011). https://doi.org/10.1007/s10701-011-9563-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10701-011-9563-2

Keywords

Search

Navigation