Skip to main content
SpringerLink
Log in

The Transfer and Monogamy of Quantum Correlations for Two Qubits

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

Abstract

In this paper the entanglement and the quantum discord (QD) dynamics of two cavities interacting with a common independent reservoir are investigated. Remarkably, it has been proved that the entanglement between two cavities can be transferred to one of the cavities and the reservoir with time evolution. Compared with the dynamics of entanglement, the QD has the similar behavior. It is found that the cavity damping rate can stabilize the entanglement and quantum discord between the cavity and reservoir. We also explore the monogamy of the entanglement and the QD during the interaction of quantum system.

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
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12

Similar content being viewed by others

References

  1. Amico, L., Fazio, R., Osterloh, A., Vedral, V.: Rev. Mod. Phys. 80, 517 (2008)

    Article  MathSciNet  MATH  ADS  Google Scholar 

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

    Article  MATH  ADS  Google Scholar 

  3. Bell, J.S.: Speakable and Unspeakable in Quantum Mechanics. Cambridge University Press, Cambridge (1987)

    MATH  Google Scholar 

  4. Tan, X.H., Fang, X.M., Wang, G.Y.: Chin. Phys. Lett. 24, 340 (2007)

    Article  ADS  Google Scholar 

  5. Zhang, H., Luo, J., Ren, T.T., Sun, X.P.: Chin. Phys. Lett. 27, 090303 (2010)

    Article  ADS  Google Scholar 

  6. Bell, J.S.: Phys.1 195 (1964)

  7. Ollivier, H., Zurek, W.H.: Phys. Rev. Lett. 88, 017901 (2001)

    Article  ADS  Google Scholar 

  8. Oppenheim, J., Horodecki, M., Horodecki, P., Horodecki, R.: Phys. Rev. Lett. 89, 180402 (2002)

    Article  ADS  Google Scholar 

  9. Henderson, L., Vedral, V.: J. Phys. A. 34, 6899 (2001)

    Article  MathSciNet  MATH  ADS  Google Scholar 

  10. Wu, Y., Yang, X.: Phys. Rev. Lett. 98, 013601 (2007)

    Article  ADS  Google Scholar 

  11. Sintayehu, T.: Chin. Phys. B. 21, 014204 (2012)

    Article  ADS  Google Scholar 

  12. Chen, Q.Y., Fang, M.F., Xiao, X., Zhou, X.F.: Chin. Phys. B. 20, 050302 (2011)

    Article  ADS  Google Scholar 

  13. Hao, X., Pan, T., Sha, J.Q., Zhu, S.Q.: Commun. Theor. Phys. 55, 41 (2011)

    Article  MATH  ADS  Google Scholar 

  14. Luo, X.Q., Wang, D.L., Zhang, Z.Q., Ding, J.W., Liu, W.M.: Phys. Rev. A. 84, 033803 (2011)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  16. Ferraro, A., Aolita, L., Cavalcanti, D., Cucchietti, F.M.: Acín, A.: Phys. Rev. A. 81, 052318 (2010)

    ADS  Google Scholar 

  17. Knill, E., Laflamme, R.: Phys. Rev. Lett. 81, 5672 (1998)

    Article  ADS  Google Scholar 

  18. Werlang, T., Sonza, S., Fanchin, F.F., Villas Boas, C.J.: Phys. Rev. A. 80, 024103 (2009)

    Article  ADS  Google Scholar 

  19. Wang, B., Xu, Z.Y., Chen, Z.Q., Feng, M.: Phys. Rev. A. 81 (2010)

  20. Fanchini, F.F., Werlang, T., Brasil, C.A., Arruda, L.G.E., Caldeira, A.O.: Phys. Rev. A. 81, 052107 (2010)

    Article  ADS  Google Scholar 

  21. Luo, S.L.: Phys. Rev. A. 77, 042303 (2008)

    Article  ADS  Google Scholar 

  22. Ali, M., Ran, A.R.P., Alber, G.: Phys. Rev. A. 81, 042105 (2010)

    Article  ADS  Google Scholar 

  23. Bellomo, B., Giorgi, G.L.: Phys. Rev. A. 85, 032104 (2012)

    Article  ADS  Google Scholar 

  24. Dakic, B., Vedral, V., Bruckner, C.: Phys. Rev. Lett. 85, 190502 (2010)

    Article  Google Scholar 

  25. Yu, T., Eberly, J.H.: Quant. Inf. Comput. 7, 459 (2007)

    MathSciNet  MATH  Google Scholar 

  26. Werlang, T., Souza, S., Fanchini, F.F., Boas, C.J.V.: Phys. Rev. A. 80, 024103 (2009)

    Article  ADS  Google Scholar 

  27. Altintas, F., Eryigit, R.: J. Phys. B: At. Mol. Opt. Phys. 44, 125501 (2011)

    Article  MathSciNet  ADS  Google Scholar 

  28. Fanchini, F.F., Werlang, T., Brasil, C.A., Arruda, L.G.E., Caldeira, A.O.: Phys. Rev. A. 81, 052107 (2010)

    Article  ADS  Google Scholar 

  29. Wooters, W.K.: Phys, Rev. Lett. 80, 2245 (1998)

    Article  ADS  Google Scholar 

  30. Yonac, S.M., Yu, T. , Eberly, J. H.: Note that this Approach is Different from the Case of Fourqubits in the Purely Unitary Case. J. Phys. B 40, S45 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  31. Prabhu, R., Pati, A.K., De, A.S., Sen, U.: Phys. Rev.A., 040102 (2012)

  32. Coffman, V., Kundu, J., Wootters, W.K.: Phys. Rev. A. 61, 052306 (2000)

    Article  ADS  Google Scholar 

  33. Bai, Y.-K., Ye, M.-Y., Wang, Z.D.: Phys. Rev. A. 80, 044301 (2009)

    Article  ADS  Google Scholar 

  34. Bai, Y.-K., Zhang, N., Ye, M.-Y., Wang, Z.D.: Phys. Rev. A 88, 012123 (2013)

    Article  ADS  Google Scholar 

Download references

Acknowledgments

This work was supported by the National Science Foundation of China under Grants Nos. 11074002, 61275119 and 11247256, the Doctoral Foundation of the Ministry of Education of China under Grant No. 20103401110003, the fund of the Education Department of Anhui province for Outstanding Youth (2012SQRL023) and also by the Personal Development Foundation of Anhui Province (2008Z018).

Author information

Authors and Affiliations

  1. School of Physics and Material Science, Anhui University, Hefei, 230601, People’s Republic of China

    Peng Xu, Dong Wang & Liu Ye

Authors
  1. Peng Xu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Dong Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Liu Ye
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Liu Ye.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Xu, P., Wang, D. & Ye, L. The Transfer and Monogamy of Quantum Correlations for Two Qubits. Int J Theor Phys 53, 4141–4152 (2014). https://doi.org/10.1007/s10773-014-2165-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-014-2165-y

Keywords

Search

Navigation