Skip to main content
SpringerLink
Log in

Quantum Correlations and Teleportation in Heisenberg XX Spin Chain

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

Abstract

We investigate the thermal quantum correlations in the Heisenberg XX spin chain, and the teleportation of a two-qubit entangled state via the spin chain is analyzed. It is found that the effects of external magnetic field and three-site interaction on the thermal entanglement and quantum discord between the nearest or the next nearest neighbor qubits behave differently in various aspects. Special attention is paid to how to enhance the quantum correlations of the output state and the average fidelity of the teleportation. We find that quantum discord gives a better performance in the quantum correlations transmission, and the three-site interaction is necessary for a successful teleportation.

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

Similar content being viewed by others

References

  1. Bennett, C.H., Sicincenzo, D.P.: Nature 404, 247 (2000)

    Article  ADS  Google Scholar 

  2. Nielsen, M.A., Chuang, I.L.: Quantum computation and quantum information. Cambridge University Press, Cambridge (2000)

    MATH  Google Scholar 

  3. Chen, Y.H., Xia, Y., Song, J.: Quantum Inf. Process 12, 3771 (2013)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  4. Lu, M., Xia, Y., Shen, L.T., Song, J., Nguyen, B.A.: Phys. Rev. A 89, 012326 (2014)

    Article  ADS  Google Scholar 

  5. Chen, Y.H., Xia, Y., Chen, Q.Q., Song, J.: Phys. Rev. A 89, 033856 (2014)

    Article  ADS  Google Scholar 

  6. Horodecki, M., Horodecki, P., Horodecki, R., Oppenheim, J., Sen, A., Sen, U., Synak-Radtke, B.: Phys. Rev. A 71, 062307 (2005)

    Article  ADS  Google Scholar 

  7. Niset, J., Cerf, N.J.: Phys. Rev. A 74, 052103 (2006)

    Article  ADS  Google Scholar 

  8. Datta, A, Flammia, S.T., Caves, C.M.: Phys. Rev. A 72 (2005)

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

    Article  ADS  Google Scholar 

  10. Dakić, B., Vedral, V., Brukner, C.: Phys. Rev. Lett. 105, 190502 (2010)

    Article  ADS  Google Scholar 

  11. Luo, S.L., Fu, S.S.: Phys. Rev. A 82, 034302 (2010)

    Article  ADS  MathSciNet  Google Scholar 

  12. Luo, S.L.: Phys. Rev. A 77, 022301 (2008)

    Article  ADS  Google Scholar 

  13. Luo, S.L., Fu, S.S.: Phys. Rev. Lett. 106, 120401 (2011)

    Article  ADS  Google Scholar 

  14. Zhou, T., Cui, J.X., Long, G.L.: Phys. Rev. A 84, 062105 (2011)

    Article  ADS  Google Scholar 

  15. Gharibian, S.: Phys. Rev. A 86, 042106 (2012)

    Article  ADS  Google Scholar 

  16. Guo, J.L., Wang, L., Long, G.L.: Ann. Phys. 330, 192 (2013)

    Article  ADS  MATH  Google Scholar 

  17. Mi, Y.J.: Int. J. Theor. Phys. 51, 544 (2012)

    Article  MATH  MathSciNet  Google Scholar 

  18. Moreva, E., Brida, G., Gramegna, M., Giovannetti, V., Maccone, L., Genovese, M.: Phys. Rev. Lett. 89, 052122 (2014)

    ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  20. Lanyon, B.P., Barbieri, M., Almedia, M.P., White, A.G.: Phys. Rev. Lett. 101, 200501 (2008)

    Article  ADS  Google Scholar 

  21. Amesen, M.C., Bose, S., Vedral, V.: Phys. Rev. Lett. 87, 017901 (2001)

    Article  ADS  Google Scholar 

  22. Wang, X.G.: Phys. Rev. A 64, 012313 (2001)

    Article  ADS  Google Scholar 

  23. Gunlycke, D., Bose, S., Kendon, V.M., Vedral, V.: Phys. Rev. A 64, 042302 (2001)

    Article  ADS  Google Scholar 

  24. Zhou, L., Song, H.S., Guo, Y.Q., Li, C.: Phys. Rev. A 68, 024301 (2003)

    Article  ADS  Google Scholar 

  25. Sun, Y., Chen, Y.G., Chen, H.: Phys. Rev. A 68, 044301 (2003)

    Article  ADS  Google Scholar 

  26. Yeo, Y.: Phys. Rev. A 66, 062312 (2002)

    Article  ADS  Google Scholar 

  27. Asoudeh, M., Karimipour, V.: Phys. Rev. A 71, 022308 (2005)

    Article  ADS  Google Scholar 

  28. Zhang, G.F.: Phys. Rev. A 72, 034302 (2005)

    Article  ADS  Google Scholar 

  29. Song, J., Sun, X.D., Mu, Q.X., Zhang, L.L., Xia, Y., Song, H.S.: Phys. Rev. A 88, 024305 (2013)

    Article  ADS  Google Scholar 

  30. Werlang, T., Rigolin, G.: Phys. Rev. A 81, 044101 (2010)

    Article  ADS  Google Scholar 

  31. Werlang, T., Trippe, C., Ribeiro, G.A.P., Rigolin, G.: Phys. Rev. Lett. 105, 095702 (2010)

    Article  ADS  Google Scholar 

  32. Wang, Q., Liao, J.Q., Zeng, H.S.: Chin. Phys. B 19, 100311 (2010)

    Article  ADS  Google Scholar 

  33. Chen, Y.X., Yin, Z.: Commun. Theor. Phys. 54, 60 (2010)

    Article  ADS  MATH  Google Scholar 

  34. Guo, J.L., Mi, Y.J., Zhang, L., Song, H.S.: J. Phys. B: At. Mol. Opt. Phys. 44, 065504 (2011)

    Article  ADS  Google Scholar 

  35. Zhang, G.F., Zhao, T.J., Abliz, A.: Ann. Phys. 326, 867 (2011)

    Article  ADS  MATH  Google Scholar 

  36. Xia, Y., Song, J., Lu, P.M., Song, H.S.: J. Opt. Soc. Am. B 27, A1 (2010)

    Article  ADS  Google Scholar 

  37. Xia, Y., Song, J., Song, H.S., Wang, B.Y.: J. Opt. Soc. Am. B 47, 2835 (2008)

    MATH  MathSciNet  Google Scholar 

  38. Yeo, Y.: Phys. Rev. A 74, 052305 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  39. Wootters, W.K.: Phys. Rev. Lett. 80, 2245 (1998)

    Article  ADS  Google Scholar 

  40. Groisman, B., Popescu, S., Winter, A.: Phys Rev. A 72, 032317 (2005)

    Article  ADS  MathSciNet  Google Scholar 

  41. Peres, A.: Phys Rev. Lett. 77, 1413 (1996)

    Article  ADS  MATH  MathSciNet  Google Scholar 

Download references

Acknowledgments

This work was supported by the National Natural Science Foundation of China Grant Nos. 11305114 and 11304226, as well as by the National Natural Science Foundation of Hebei Province of China under Grant No. A2012202028 and Natural Science Foundation of Tianjin Normal University of China under Grant No. 5RL113.

Author information

Authors and Affiliations

  1. College of Physics and Materials Science, Tianjin Normal University, Tianjin, 300387, China

    Wan Qin & Jin-Liang Guo

Authors
  1. Wan Qin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Jin-Liang Guo
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Jin-Liang Guo.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Qin, W., Guo, JL. Quantum Correlations and Teleportation in Heisenberg XX Spin Chain. Int J Theor Phys 54, 2386–2397 (2015). https://doi.org/10.1007/s10773-014-2463-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-014-2463-4

Keywords

Search

Navigation