Skip to main content
Log in

Optimal Dense Coding and Swap Operation Between Two Coupled Electronic Spins: Effects of Nuclear Field and Spin-Orbit Interaction

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

Abstract

The effects of nuclear field and spin-orbit interaction on dense coding and swap operation are studied in detail for both the antiferromagnetic (AFM) and ferromagnetic (FM) coupling cases. The conditions for a valid dense coding and under which swap operation is feasible are given.

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.

Fig. 1
Fig. 2
Fig. 3
Fig. 4

Similar content being viewed by others

References

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

    Article  ADS  Google Scholar 

  2. Ekert, A.K.: Phys. Rev. Lett. 67, 661 (1991)

    Article  ADS  MathSciNet  Google Scholar 

  3. Bennett, C.H., Brassard, G., Crepeau, C., Jozsa, R., Peres, A., Wootters, W.K.: Phys. Rev. Lett. 70, 1895 (1993)

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

  5. Bose, S., Plenio, M.B., Vedral, V.: J. Mod. Opt. 47, 291 (2000)

    Article  ADS  MathSciNet  Google Scholar 

  6. Das, T., Prabhu, R., Sen, A., Sen, U.: Phys. Rev. A 92, 069903 (2015)

    Article  ADS  Google Scholar 

  7. Das, T., Prabhu, R., Sen, A., Sen, U.: Phys. Rev. A 92, 052330 (2015)

    Article  ADS  Google Scholar 

  8. Roy, S., Ghosh, B.: Inter. Jour. Quantum. Inf. 13, 1550033 (2015)

    Article  MathSciNet  Google Scholar 

  9. Holevo, A.S.: Probl. Inf. Transm. 9(3), 177–183 (1973)

    Google Scholar 

  10. Holevo, A.S.: Probl. Inf. Transm. 15(4), 247–253 (1979)

    Google Scholar 

  11. Holevo, A.S.: IEEE Trans. Inf. Theory 44, 269 (1998)

    Article  MathSciNet  Google Scholar 

  12. Schumacher, B., Westmoreland, M.D.: Phys. Rev. A 56, 131 (1997)

    Article  ADS  Google Scholar 

  13. Hiroshima, T.: J. Phys. A 34, 6907 (2001)

    Article  ADS  MathSciNet  Google Scholar 

  14. Nielsen, M.A.: Ph. D thesis, University of New Mexico, 1998, arXiv:quant-ph/0011036

  15. Li, Sh.-Sh., Long, G.-L., Bai, F.-S., Feng, S.-L., Zheng, H.-Zh.: Pro. Natl. Acad. Sci. USA 98(21), 11847 (2001)

    Article  ADS  Google Scholar 

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

    MATH  Google Scholar 

  17. Brassard, G., Braunstein, S.L., Cleve, R.: Physica D120, 43 (1998)

    ADS  MathSciNet  Google Scholar 

  18. Ren, B.C., Long, G.L.: Sci. Rep. 5, 16444 (2015)

    Article  ADS  Google Scholar 

  19. Loss, D., DiVincenzo, D.P.: Phys. Rev. A 57, 120 (1998)

    Article  ADS  Google Scholar 

  20. Dzyaloshinskii, I.: J. Chem. Solids 4, 241 (1958)

    Article  ADS  Google Scholar 

  21. Moriya, T.: Phys. Rev. 120, 91 (1960)

    Article  ADS  Google Scholar 

  22. Hiroshima, T.: J. Phys. A 34, 6907 (2001)

    Article  ADS  MathSciNet  Google Scholar 

Download references

Acknowledgments

This work is supported by the National Natural Science Foundation of China (Grant No. 11574022 and 11174024) and the Open Fund of IPOC (BUPT) grants Nos. IPOC2013B007 also supported by the Open Project Program of State Key Laboratory of Low-Dimensional Quantum Physics (Tsinghua University) grants Nos. KF201407, and Beijing Higher Education (Young Elite Teacher Project) YETP 1141.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Guo-Feng Zhang.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Jiang, L., Zhang, GF. Optimal Dense Coding and Swap Operation Between Two Coupled Electronic Spins: Effects of Nuclear Field and Spin-Orbit Interaction. Int J Theor Phys 55, 3555–3563 (2016). https://doi.org/10.1007/s10773-016-2984-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-016-2984-0

Keywords

Navigation