Skip to main content
SpringerLink
Log in

On testing objective local theories by using Greenberger-Horne-Zeilinger states

  • Published:
Foundations of Physics Aims and scope Submit manuscript

Abstract

The convenience of using Greenberger-Horne-Zeilinger (GHZ) stales for disproving a recently proposed “hardest-to-beat” type of hidden variables theory is analyzed. The experimental conditions for observing a discrepancy from quantum mechanical predictions are obtained, for a GHZ state with an arbitrary number q of particles. It is shown that an Orsay-like experiment is preferable, even for highly idealized conditions and even if the difficulty of preparation of a GHZ state with a large number of particles is not taken into account. The situation may be different for the case q=4 if a proposed theorem is demonstrated true.

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

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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

Abbreviations

DZ:

directionalization (see Sec. 2.1)

EPR:

Einstein-Podolsky-Rosen

GHZ:

Greenberger-Horne-Zeilinger

HV:

hidden variables

HV + DZ:

hidden variables with directionalization (see Sec. 2.1)

OLT:

objective local theories (see Introduction)

QM:

quantum mechanics, quantum mechanical

RD:

random deflector (see Introduction and Sec. 1.4)

RT:

random transition (see Sec. 1.4)

TRDACQ:

time-resolved data acquisition (see Sec. 3.3)

References

  1. D. Greenberger, M. Horne, A. Shimony, and A. Zeilinger,Am. J. Phys. 58, 1131 (1990).

    Google Scholar 

  2. N. David Mermin,Phys. Rev. Lett. 65, 1838 (1990);Am. J. Phys. 58, 731 (1990).

    Google Scholar 

  3. J. Clauser and M. Horne,Phys. Rev. D 10, 526 (1974).

    Google Scholar 

  4. A. Hnilo,Found. Phys. 21, 547 (1991).

    Google Scholar 

  5. A. Aspect, J. Dalibard, and G. Roger,Phys. Rev. Lett. 49, 1804 (1982).

    Google Scholar 

  6. Note that the HV + DZ model holds for Einstein's locality but not necessarily forseparability; see B. d'Espagnat,Phys. Rep. 110, 201 (1984).

    Google Scholar 

  7. V. Buonomano, inQuantum Mechanics versus Local Realism, F. Selleri, ed. (Plenum, New York, 1988).

    Google Scholar 

  8. E. Santos,Phys. Rev. Lett. 66, 1388 (1991).

    Google Scholar 

  9. E. Postlewaite, J. Miers, C. Reiner, and D. Dlott,IEEE J. Quantum Electron. QE-24, 411 (1988).

    Google Scholar 

  10. See, for example, T. Hellmuth, H. Walther, A. Zajonc, and W. Schleich,Phys. Rev. A 35, 2532 (1987).

    Google Scholar 

  11. J. Rarity and P. Tapster,Phys. Rev. Lett. 64, 2495 (1990).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. CEILAP, Centro de Investigaciones en Laseres y Aplicaciones, (CITEFA-CONICET), Zufriategui 4380, 1603, Villa Martelli, Argentina

    A. A. Hnilo

Authors
  1. A. A. Hnilo
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hnilo, A.A. On testing objective local theories by using Greenberger-Horne-Zeilinger states. Found Phys 24, 139–162 (1994). https://doi.org/10.1007/BF02053912

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02053912

Keywords

Search

Navigation