Skip to main content
SpringerLink
Log in

Entanglement of Three-spin States in the Context of SU(2) Coherent States

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

A detailed study of entanglement in three-spin superposition of SU(2) coherent states is presented. Explicit expressions to quantify the entanglement of three-spin states for both W and GHZ classes are given. According to the numerical study of entanglement behavior of the system, the states are separated into two integer and half-integer spin classes. Even though entanglement behavior of integer and half-integer spin states are different, entanglement increases by increasing spin in both W and GHZ classes. Moreover, the conditions under which three spin system states become maximally entangled in both classes are given.

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

Fig. 1
Fig. 2

Similar content being viewed by others

References

  1. Ladd, T.D., Jelezko, F., Laflamme, R., Nakamura, Y., Monroe, C., OBrien, J.L.: Nature 464, 45 (2010)

    Article  ADS  Google Scholar 

  2. Higgins, B.L., Berry, D.W., Bartlett, S.D., Wiseman, H.M., Pryde, G.J.: Nature 450, 393 (2007)

    Article  ADS  Google Scholar 

  3. Xiang, G.Y., Higgins, B.L., Berry, D.W., Wiseman, H.M., Pryde, G.J.: Nature Photonics 5, 43 (2011)

    Article  ADS  Google Scholar 

  4. Walborn, S.P., Souto Ribeiro, P.H., Davidovich, L., Mintert, F., Buchleitner, A.: Nature 440, 1022 (2006)

    Article  ADS  Google Scholar 

  5. Guhne, O., Toth, G.: Phys. Rep. 474, 1 (2009)

    Article  ADS  MathSciNet  Google Scholar 

  6. Bennett, C.H., et al.: Phys. Rev. Lett. 70, 1895 (1993)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  7. Bennett, C.H., Wiesner, S.J.: Phys. Rev. Lett. 69, 2881 (1992)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  8. Klauder, J.R., Skagertam, B.: Coherent States: Application in Physics and Mathematical Physics. World Scientific, Singapore (1985)

    Book  Google Scholar 

  9. Combescure, M., Robert, D.: Coherent States and Applications in Mathematical Physics. Springer (2012)

  10. Glauber, R.J.: Rev. Phys. A 131, 2766 (1963)

    Article  MathSciNet  Google Scholar 

  11. Maleki, Y.: SIGMA 7, 084 (2011)

    MathSciNet  Google Scholar 

  12. Najarbashi, G., Maleki, Y.: SIGMA 7, 011 (2011)

    MathSciNet  Google Scholar 

  13. Najarbashi, G., Maleki, Y.: Rom. J. Phys 58, 279 (2013)

    Google Scholar 

  14. Khashami, F., Maleki, Y., Berrada, K.: J. Russian Laser Res. 34(4), 388 (2013)

    Article  Google Scholar 

  15. Perelomov, A.M.: Math, Commun. Phys. 26, 222 (1972)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  16. Perelomov, A.M.: Generalized Coherent States and Their Applications. Springer, New York (1986)

    Book  MATH  Google Scholar 

  17. Solomon, A.I.: J. Math. Phys. 12, 390 (1971)

    Article  ADS  Google Scholar 

  18. Zoua, X.B., Pahlke, K., Mathis, W.: Eur. Phys. J. D. 33, 297 (2005)

    Article  ADS  Google Scholar 

  19. Fu, H., Wang, X., Solomon, A.I.: Phys. Lett. A 291, 73–76 (2001)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  20. Wang, X., Sanders, B.C.: Phys. Rev. A 65, 012303 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  21. Berrada, K., Mohammadzade, A., Abdel-Khalek, S., Eleuch, H., Salimi, S.: Phys. E 45, 21 (2012)

    Article  Google Scholar 

  22. Najarbashi, G., Maleki, Y.: Int. J. Theor. Phys. 50, 2601 (2011)

    Article  MATH  MathSciNet  Google Scholar 

  23. Salimi, S., Mohammadzade, A., Berrada, K.: Quantum Inf. Process. 11, 501–518 (2012)

    Article  MATH  MathSciNet  Google Scholar 

  24. Markham, D., Vedral, V.: Phys. Rev. A 67, 042113 (2003)

    Article  ADS  Google Scholar 

  25. Neumann, P., et al.: Science 320, 1326 (2008)

    Article  ADS  Google Scholar 

  26. DiCarlo, L., et al.: Nature 467, 577 (2010)

    Article  ADS  Google Scholar 

  27. Gao, W.B., et al.: Nature 491, 426 (2012)

    Article  ADS  Google Scholar 

  28. Berry, D.W., Sanders, B.C.: J. Phys. A. Math. Gen. 38, L205 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  29. Meyer, D.A., Wallach, N.R.: J. Math. Phys. 43, 4273 (2002)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  30. Brennen, G.K.: Quantum Inf. Comput. 3, 619 (2003)

    MATH  MathSciNet  Google Scholar 

Download references

Acknowledgments

It is a pleasure for Y. M. to acknowledge some helpful discussions with Dr. Dominic W. Berry and Dr. A. T. Rezakhani for which he is deeply grateful.

Author information

Authors and Affiliations

  1. Young Researchers and Elite Club, Ardabil Branch, Islamic Azad University, Ardabil, Iran

    Y. Maleki & Y. Mousavi

  2. Young Researchers and Elite Club, Behshahr Branch, Islamic Azad University, Behshahr, Iran

    F. Khashami

Authors
  1. Y. Maleki
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. F. Khashami
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Y. Mousavi
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Y. Maleki.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Maleki, Y., Khashami, F. & Mousavi, Y. Entanglement of Three-spin States in the Context of SU(2) Coherent States. Int J Theor Phys 54, 210–218 (2015). https://doi.org/10.1007/s10773-014-2215-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-014-2215-5

Keywords

Search

Navigation