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Various Quantum Nonlocality Tests with a Commercial Two-photon Entanglement Source

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On the Device-Independent Approach to Quantum Physics

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Abstract

Nonlocality is a fascinating and counterintuitive aspect of nature, revealed by the violation of a Bell inequality. The standard and easiest configuration in which Bell inequalities can be measured has been proposed by Clauser- Horne-Shimony-Holt (CHSH). However, alternative nonlocality tests can also be carried out. In particular, Bell inequalities requiring multiple measurement settings can provide deeper fundamental insights about quantum nonlocality, as well as offering advantages in the presence of noise and detection inefficiency. In this paper we show how these nonlocality tests can be performed using a commercially available source of entangled photon pairs. We report the violation of a series of these nonlocality tests (\(I_{3322}, I_{4422}\), and chained inequalities). With the violation of the chained inequality with 4 settings per side we put an upper limit at 0.49 on the local content of the states prepared by the source (instead of 0.63 attainable with CHSH). We also quantify the amount of true randomness that has been created during our experiment (assuming fair sampling of the detected events).

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Notes

  1. 1.

    This chapter appeared as: “E. Pomarico, et al., Various quantum nonlocality tests with a commercial two-photon entanglement source, Phys. Rev. A 83, 052104 (2011).”

  2. 2.

    Note that existing experimental results could be reinterpreted to provide such a bound as well.

References

  1. A. Einstein, B. Podolsky, N. Rosen, Can Quantum-Mechanical Description of Physical Reality Be Considered Complete? Phys. Rev. 47, 777 (1935)

    Article  ADS  MATH  Google Scholar 

  2. J.S. Bell, On the Einstein-Podolski-Rosen paradox. Phys. 1, 195 (1964)

    Google Scholar 

  3. J.F. Clauser, M.A. Horne, A. Shimony, R.A. Holt, Proposed Experiment to Test Local Hidden-Variable Theories. Phys. Rev. Lett. 23, 880 (1969)

    Article  ADS  Google Scholar 

  4. A. Aspect, P. Grangier, G. Roger, Experimental Tests of Realistic Local Theories via Bell’s Theorem. Phys. Rev. Lett. 47, 460 (1981)

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  6. G. Weihs, T. Jennewein, C. Simon, H. Weinfurter, A. Zeilinger, Phys. Rev. Lett. 81, 5039 (1998)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  7. W. Tittel, J. Brendel, N. Gisin, H. Zbinden, Phys. Rev. A 59, 4150 (1999)

    Article  MathSciNet  ADS  Google Scholar 

  8. M.A. Rowe, D. Kielpinski, V. Meyer, C.A. Sackett, W.M. Itano, C. Monroe, D.J. Wineland, Nature (London) 409, 791 (2001)

    Article  ADS  Google Scholar 

  9. D.N. Matsukevich, P. Maunz, D.L. Moehring, S. Olmschenk, C. Monroe, Phys. Rev. Lett. 100, 150404 (2008)

    Article  ADS  Google Scholar 

  10. T. Vértesi, S. Pironio, N. Brunner, Closing the Detection Loophole in Bell Experiments Using Qudits. Phys. Rev. Lett. 104, 060401 (2010)

    Article  Google Scholar 

  11. See http://www.qutools.com

  12. J.B. Altepeter, E.R. Jeffrey, P.G. Kwiat, S. Tanzilli, N. Gisin, A. Acín, Experimental Methods for Detecting Entanglement. Phys. Rev. Lett. 95, 033601 (2005)

    Article  ADS  Google Scholar 

  13. D. Collins, and N. Gisin, “A relevant two qubit Bell inequality inequivalent to the CHSH inequality”, Journ. of Phys. A: Math. and Gen. 37, 1775 (2004).

    Google Scholar 

  14. N. Brunner, N. Gisin, Partial list of bipartite Bell inequalities with four binary settings. Phys. Lett. A 372, 3162 (2008)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  15. S. Braunstein, C. Caves, Wringing out better Bell inequalities. Annals of Phys. 202, 22 (1990)

    Article  ADS  Google Scholar 

  16. A. Elitzur, S. Popescu, D. Rohrlich, Quantum nonlocality for each pair in an ensemble. Phys. Lett. A 162, 25 (1992)

    Article  MathSciNet  ADS  Google Scholar 

  17. J. Barrett, A. Kent, S. Pironio, Maximally Nonlocal and Monogamous Quantum Correlations. Phys. Rev. Lett. 97, 17 (2006)

    Article  Google Scholar 

  18. V. Scarani, Local and nonlocal content of bipartite qubit and qutrit correlations. Phys. Rev. A 77, 042112 (2008)

    Article  ADS  Google Scholar 

  19. D.F.V. James, P.G. Kwiat, W.J. Munro, A.G. White, Measurement of qubits. Phys. Rev. A 64, 052312 (2001)

    Article  ADS  Google Scholar 

  20. R. F. Werner, and M. M. Wolf, “Bell inequalities and Entanglement”, Quantum Inf. Comput. 1:3, 1–25.

    Google Scholar 

  21. P. Trojek, C. Schmid, M. Bourennane, H. Weinfurter, Ch. Kurtsiefer, Compact source of polarization-entangled photon pairs. Opt. Expr. 12, 276 (2004)

    Article  ADS  Google Scholar 

  22. D. Avis, H. Imai, and T. Ito, On the relationship between convex bodies related to correlation experiments with dichotomic observables”, Journ. of Phys. A: Math. and Gen. 39, 11283 (2006)

    Google Scholar 

  23. Note that existing experimental results could be reinterpreted to provide such a bound as well

    Google Scholar 

  24. L. Aolita et al. (unpublished)

    Google Scholar 

  25. S. Pironio, A. Acín, S. Massar, A. Boyer de la Giroday, D.N. Matsukevich, P. Maunz, S. Olmschenk, D. Hayes, L. Luo, T.A. Manning, C. Monroe, Random numbers certified by Bell’s theorem. Nat. 464, 1021 (2010)

    Article  ADS  Google Scholar 

  26. N. Gisin, B. Gisin, Phys. Lett. A 297, 279 (2002)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  27. S. Ronen, Recent developments in extractors. Bulletin of the European Association for Theoretical Computer Science 77, 67 (2002)

    MATH  Google Scholar 

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Acknowledgments

This work is supported by Qessence and NCCR-QP. We would like to thank Antonio Acin, Denis Rosset and Y.-C. Liang for valuable discussions, suggestions and remarks.

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Correspondence to Jean-Daniel Bancal .

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Bancal, JD. (2014). Various Quantum Nonlocality Tests with a Commercial Two-photon Entanglement Source. In: On the Device-Independent Approach to Quantum Physics. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-01183-7_3

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