Skip to main content
Log in

Nonclassical Correlations in a Three-Mode Continuous-Variable System

  • Published:
Journal of Russian Laser Research Aims and scope

Abstract

We investigate a standard measure of quantum discord for tripartite coherent states of the Greenberger–Horne–Zeilinger (GHZ) type. Furthermore, we check the monotonicity of a superquantum discord according to weak quantum measurements. We accomplish our study by manipulating the amount of quantum information lost during the perturbation of the quantum system and controlling the measurement strength. In addition, we calculate the entanglement of the system under study. Finally we compare the behavior of the three correlations.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. G. Adesso and A. Datta, Phys. Rev. Lett., 105, 030501 (2010).

    Article  ADS  Google Scholar 

  2. A. Einstein, B. Podolsky, and N. Rosen, Phys. Rev., 47, 777 (1935).

    Article  ADS  Google Scholar 

  3. E. Schrӧdinger, Naturwissenschaften, 23, 807 (1935).

    Article  ADS  Google Scholar 

  4. L. Henderson and V. Vedral, J. Phys. A: Math. Gen., 34, 6899 (2001).

    Article  ADS  Google Scholar 

  5. H. Ollivier and W. H. Zurek, Phys. Rev. Lett., 88, 017901 (2001).

    Article  ADS  Google Scholar 

  6. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information, Cambridge University Press, Cambridge (2000).

    MATH  Google Scholar 

  7. I. A. Silva, D. Girolami, R. Auccaise, et al., Phys. Rev. Lett., 110, 140501 (2013).

    Article  ADS  Google Scholar 

  8. F. Siyouri, M. El Baz, and Y. Hassouni, Quantum Inform. Process., 15(10), 4237 (2016).

    Article  ADS  Google Scholar 

  9. B. L. Ye, Y. M. Liu, X. S. Liu, and Z. J. Zhang, Chin. Phys. Lett., 30, 020302 (2013).

    Article  ADS  Google Scholar 

  10. I. Chakrabarty, P. Agrawal, and A. K. Pati, Eur. Phys. J. D, 65, 605 (2011).

    Article  ADS  Google Scholar 

  11. F. Siyouri, M. El Baz, S. Rfifi, and Y. Hassouni, Commun. Theor. Phys, 65(4), 447 (2016).

    Article  ADS  Google Scholar 

  12. F. F. Fanchini, M. F. Cornelio, M. C. de Oliveira, and A. O. Caldeira, Phys. Rev. A, 84, 012313 (2011).

    Article  ADS  Google Scholar 

  13. C. C. Rulli and M. S. Sarandy, Phys. Rev. A, 84, 042109 (2011).

    Article  ADS  Google Scholar 

  14. A. Datta, A. Shaji, and C. M. Caves, Phys. Rev. Lett., 100, 050502 (2008).

    Article  ADS  Google Scholar 

  15. B. P. Lanyon, M. Barbieri, M. P. Almeida, and A. G. White, Phys. Rev. Lett., 101, 200501 (2008).

    Article  ADS  Google Scholar 

  16. M. de Almeida, M. Gu, A. Fedrizzi, et al., Phys. Rev. A, 89, 042323 (2014).

    Article  ADS  Google Scholar 

  17. S. Pirandola, arXiv:1309.2446 (2013).

  18. D. Girolami, T. Tufarelli, and G. Adesso, Phys. Rev. Lett., 110, 240402 (2013).

    Article  ADS  Google Scholar 

  19. A. Adesso, Phys. Rev. A, 90, 022321 (2014).

    Article  ADS  Google Scholar 

  20. L. Wang, J. H. Huang, J. P. Dowling, and S. Y. Zhu, Quantum Inform. Process., 12, 899 (2013).

    Article  ADS  Google Scholar 

  21. Y. Aharonov, S. Popescu, and J. Tollaksen, Phys. Today, 63, 27 (2010).

    Article  Google Scholar 

  22. N. S. Williams and A. N. Jordan, Phys. Rev. Lett., 100, 026804 (2008).

    Article  ADS  Google Scholar 

  23. A. Palacios-Laloy, F. Mallet, F. Nguyen, et al., Nature Phys., 6, 442 (2010).

    Article  ADS  Google Scholar 

  24. H. M. Wiseman, Phys. Lett. A, 311, 285 (2003).

    Article  ADS  MathSciNet  Google Scholar 

  25. R. Mir, J. S. Lundeen, M. W. Mitchell, et al., New J. Phys., 9, 287 (2007).

    Article  ADS  Google Scholar 

  26. P. B. Dixon, D. J. Starling, N. J. Andrew, and J. C. Howell, Phys. Rev. Lett., 102, 173601 (2009).

    Article  ADS  Google Scholar 

  27. G. A. Smith, A. Silberfarb, I. H. Deutsch, and P. S. Jessen, Phys. Rev. Lett., 93, 163602 (2004).

    Article  ADS  Google Scholar 

  28. J. S. Lundeen, B. Sutherland, A. Patel, et al., Nature (London), 474, 188 (2011).

    Article  Google Scholar 

  29. Y. S. Kim, J. C. Lee, O. Kwon, and Y. H. Kim, Nature Phys., 8, 117 (2012).

    Article  ADS  Google Scholar 

  30. T. M. Cover and J. A. Thomas, Elements of Information Theory, Wiley, New York (1991).

    Book  MATH  Google Scholar 

  31. Mazhar Ali, A. R. P. Rau, and G. Alber, Phys. Rev. A, 81, 042105 (2010).

  32. F. F. Fanchini, L. K. Castelano, and A. O. Caldeira, New J. Phys., 12, 073009 (2010).

    Article  ADS  Google Scholar 

  33. M. F. Cornelio, M. C. de Oliveira, and F. F. Fanchini, Phys. Rev. Lett., 107, 020502 (2011).

    Article  ADS  Google Scholar 

  34. M. Shi, W. Yang, F. Jiang, and J. Du, J. Phys. A: Math. Theor., 44, 415304 (2011).

    Article  Google Scholar 

  35. R. Glauber, Phys. Rev. Lett., 10, 84 (1963).

    Article  ADS  MathSciNet  Google Scholar 

  36. Nadeem A. Ansari and V. I. Man’ko, Phys. Rev. A, 50, 1942 (1994).

  37. V. V. Dodonov, I. A. Malkin, and V. I. Man’ko, Physica, 72, 597 (1974).

    Article  ADS  MathSciNet  Google Scholar 

  38. O. Oreshkov and T. A. Brun, Phys. Rev. Lett., 95, 110409 (2005).

    Article  ADS  Google Scholar 

  39. U. Singh and A. K. Pati, Ann. Phys., 343, 141 (2014).

    Article  ADS  Google Scholar 

  40. K. William and W. K. Wootters, Phys. Rev. Lett., 80, 2245 (1998).

    Article  ADS  Google Scholar 

  41. S. Hill and W. K. Wootters, Phys. Rev. Lett., 78, 5022 (1997).

    Article  ADS  Google Scholar 

  42. K. Modi, T. Paterek, W. Son, et al., Phys. Rev. Lett., 104, 080501 (2010).

    Article  ADS  MathSciNet  Google Scholar 

  43. J. Maziero, L. C. Céleri, R. M. Serra, and V. Vedral, Phys. Rev. A, 80, 044102 (2009).

    Article  ADS  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to F. Siyouri.

Additional information

Manuscript submitted by the authors in English on December 22, 2016.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Siyouri, F., Ziane, M., El Baz, M. et al. Nonclassical Correlations in a Three-Mode Continuous-Variable System. J Russ Laser Res 38, 27–36 (2017). https://doi.org/10.1007/s10946-017-9617-9

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10946-017-9617-9

Keywords

Navigation