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Experimental test of quantum nonlocality in three-photon Greenberger–Horne–Zeilinger entanglement

Nature volume 403, pages 515–519 (2000)Cite this article

Abstract

Bell's theorem1 states that certain statistical correlations predicted by quantum physics for measurements on two-particle systems cannot be understood within a realistic picture based on local properties of each individual particle—even if the two particles are separated by large distances. Einstein, Podolsky and Rosen first recognized2 the fundamental significance of these quantum correlations (termed ‘entanglement’ by Schrödinger3) and the two-particle quantum predictions have found ever-increasing experimental support4. A more striking conflict between quantum mechanical and local realistic predictions (for perfect correlations) has been discovered5,6; but experimental verification has been difficult, as it requires entanglement between at least three particles. Here we report experimental confirmation of this conflict, using our recently developed method7 to observe three-photon entanglement, or ‘Greenberger–Horne–Zeilinger’ (GHZ) states. The results of three specific experiments, involving measurements of polarization correlations between three photons, lead to predictions for a fourth experiment; quantum physical predictions are mutually contradictory with expectations based on local realism. We find the results of the fourth experiment to be in agreement with the quantum prediction and in striking conflict with local realism.

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Figure 1: Experimental set-up for Greenberger–Horne–Zeilinger (GHZ) tests of quantum nonlocality.
Figure 2: A typical experimental result used in the GHZ argument.
Figure 3: All outcomes observed in the yyx, yxy and xyy experiments, obtained as in Fig. 2.
Figure 4: Predictions of quantum mechanics and of local realism, and observed results for the xxx experiment.

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References

  1. Bell, J. S. On the Einstein-Podolsky-Rosen paradox. Physics 1, 195–200 (1964); reprinted Bell, J. S. Speakable and Unspeakable in Quantum Mechanics (Cambridge Univ. Press, Cambridge, 1987).

    Google Scholar 

  2. Einstein, A., Podolsky, B. & Rosen, N. Can quantum-mechanical description of physical reality be considered complete? Phys. Rev. 47, 777–780 (1935).

    Article  ADS  CAS  Google Scholar 

  3. Schrödinger, E. Die gegenwärtige Situation in der Quantenmechanik. Naturwissenschaften 23, 807–812; 823–828; 844–849 (1935).

    Article  ADS  Google Scholar 

  4. Aspect, A. Bell's inequality test: more ideal than ever. Nature 390, 189–190 (1999).

    Article  ADS  Google Scholar 

  5. Greenberger, D. M., Horne, M. A. & Zeilinger, A. in Bell's Theorem, Quantum Theory, and Conceptions of the Universe (ed. Kafatos, M.) 73–76 (Kluwer Academic, Dordrecht, 1989).

    Google Scholar 

  6. Greenberger, D. M., Horne, M. A., Shimony, A. & Zeilinger, A. Bell's theorem without inequalities. Am. J. Phys. 58, 1131–1143 (1990).

    Article  ADS  MathSciNet  Google Scholar 

  7. Bouwmeester, D., Pan, J.-W., Daniell, M., Weinfurter, H. & Zeilinger, A. Observation of three-photon Greenberger-Horne-Zeilinger entanglement. Phys. Rev. Lett. 82, 1345–1349 (1999).

    Article  ADS  MathSciNet  CAS  Google Scholar 

  8. Mermin, N. D. What's wrong with these elements of reality? Phys. Today 43, 9–11 (1990).

    Google Scholar 

  9. Bouwmeester, D. et al. Experimental quantum teleportation. Nature 390, 575–579 (1997).

    Article  ADS  CAS  Google Scholar 

  10. Pan, J.-W., Bouwmeester, D., Weinfurter, H. & Zeilinger, A. Experimental entanglement swapping: Entangling photons that never interacted. Phys. Rev. Lett. 80, 3891–3894 (1998).

    Article  ADS  MathSciNet  CAS  Google Scholar 

  11. Laflamme, R., Knill, E., Zurek, W. H., Catasti, P. & Mariappan, S. V. S. NMR Greenberger-Horne-Zeilinger states. Phil. Trans. R. Soc. Lond. A 356, 1941–1947 (1998).

    Article  ADS  MathSciNet  CAS  Google Scholar 

  12. Ou, Z.Y. & Mandel, L. Violation of Bell's inequality and classical probability in a two-photon correlation experiment. Phys. Rev. Lett. 61, 50–53 (1988).

    Article  ADS  MathSciNet  CAS  Google Scholar 

  13. Shih, Y. H. & Alley, C. O. New type of Einstein-Podolsky-Rosen-Bohm experiment using pairs of light quanta produced by optical parametric down conversion. Phys. Rev. Lett. 61, 2921–2924 (1988).

    Article  ADS  CAS  Google Scholar 

  14. Kwiat, P., Eberhard, P. E., Steinberger, A. M. & Chiao, R. Y. Proposal for a loophole-free Bell inequality experiment. Phys. Rev. A 49, 3209–3220 (1994).

    Article  ADS  CAS  Google Scholar 

  15. De Caro, L. & Garuccio, A. Reliability of Bell-inequality measurements using polarization correlations in parametric-down-conversion photons. Phys. Rev. A 50, R2803–R2805 (1994).

    Article  ADS  CAS  Google Scholar 

  16. Popescu, S., Hardy, L. & Zukowski, M. Revisiting Bell's theorem for a class of down-conversion experiments. Phys. Rev. A 56, R4353–4357 (1997).

    Article  ADS  MathSciNet  CAS  Google Scholar 

  17. Zukowski, M. Violations of local realism in multiphoton interference experiments. Phys. Rev. A 61, 022109 (2000).

    Article  ADS  Google Scholar 

  18. Mermin, N. D. Extreme quantum entanglement in a superposition of macroscopically distinct states. Phys. Rev. Lett. 65, 1838–1841 (1990).

    Article  ADS  MathSciNet  CAS  Google Scholar 

  19. Roy, S. M. & Singh, V. Tests of signal locality and Einstein-Bell locality for multiparticle systems. Phys. Rev. Lett. 67, 2761–2764 (1991).

    Article  ADS  MathSciNet  CAS  Google Scholar 

  20. Zukowski, M. & Kaszlikowski, D. Critical visibility for N-particle Greenberger-Horne-Zeilinger correlations to violate local realism. Phys. Rev. A 56, R1682–1685 (1997).

    Article  ADS  MathSciNet  CAS  Google Scholar 

  21. Pearle, P. Hidden-variable example based upon data rejection. Phys. Rev. D 2, 1418–1425 (1970).

    Article  ADS  Google Scholar 

  22. Clauser, J. & Shimony, A. Bell's theorem: experimental tests and implications. Rep. Prog. Phys. 41, 1881–1927 (1978).

    Article  ADS  CAS  Google Scholar 

  23. Weihs, G., Jennewein, T., Simon, C., Weinfurter, H. & Zeilinger, A. Violation of Bell's inequality under strict Einstein locality conditions. Phys. Rev. Lett. 81, 5039–5043 (1998).

    Article  ADS  MathSciNet  CAS  Google Scholar 

  24. Bose, S., Vedral, V. & Knight, P. L. Multiparticle generalization of entanglement swapping. Phys. Rev. A 57, 822–829 (1998).

    Article  ADS  CAS  Google Scholar 

  25. Haroche, S. Atoms and photons in high-Q cavities: next tests of quantum theory. Ann. NY Acad. Sci. 755, 73–86, (1995).

    Article  ADS  CAS  Google Scholar 

  26. Briegel, H.-J., Duer, W., Cirac, J. I. & Zoller, P. Quantum repeaters: The role of imperfect local operations in quantum communication. Phys. Rev. Lett. 81, 5932–5935 (1998).

    Article  ADS  CAS  Google Scholar 

  27. Cleve, R. & Buhrman, H. Substituting quantum entanglement for communication. Phys. Rev. A 56, 1201–1204 (1997).

    Article  ADS  CAS  Google Scholar 

  28. Kwiat, P. G. et al. New high intensity source of polarization-entangled photon pairs. Phys. Rev. Lett. 75, 4337–4341 (1995).

    Article  ADS  CAS  Google Scholar 

  29. Zeilinger, A., Horne, M. A., Weinfurter, H. & Zukowski, M. Three particle entanglements from two entangled pairs. Phys. Rev. Lett. 78, 3031–3034 (1997).

    Article  ADS  CAS  Google Scholar 

  30. Zukowski, M., Zeilinger, A. & Weinfurter, H. Entangling photons radiated by independent pulsed source. Ann. NY Acad. Sci. 755, 91–102 (1995).

    Article  ADS  Google Scholar 

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Acknowledgements

We thank D. M. Greenberger, M. A. Horne and M. Zukowski for useful discussions. This work was supported by the Austrian Fonds zur Förderung der Wissenschaftlichen Forschung, the Austrian Academy of Sciences and the Training and Mobility of Researchers programme of the European Union.

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Authors and Affiliations

  1. Institut für Experimentalphysik, Universität Wien, Boltzmanngasse 5, Wien, 1090, Austria

    Jian-Wei Pan, Matthew Daniell & Anton Zeilinger

  2. Clarendon Laboratory, University of Oxford, Parks Road, Oxford, OX1 3PU, UK

    Dik Bouwmeester

  3. Sektion Physik, Ludwig-Maximilians-Universität of München, Schellingstrasse 4/III, München, D-80799, Germany

    Harald Weinfurter

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  1. Jian-Wei Pan
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Correspondence to Anton Zeilinger.

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Pan, JW., Bouwmeester, D., Daniell, M. et al. Experimental test of quantum nonlocality in three-photon Greenberger–Horne–Zeilinger entanglement. Nature 403, 515–519 (2000). https://doi.org/10.1038/35000514

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