Skip to main content
Log in

Remotely Preparing a Four-Dimensional Quantum State via Positive Operator-Valued Measure

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

Abstract

Several protocols for remote preparation of a single-quadbit state and a two-quadbit entangle state with real and complex coefficients are presented via positive operator-valued measure, respectively. In these protocols, two- and three-quadbit non-maximally entangled state(s) have been employed as the quantum channel respectively. To complete the protocols, several novel sets of single- and two-quadbit mutually orthogonal basis vectors are introduced. The advantage of the present protocols is that, if the quantum channel consists of maximally entangled state(s), all the considered RSP can be completed with unit successful probability.

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

  2. Lo, K.H.: Phys. Rev. A 62, 0123132 (2000)

    Article  Google Scholar 

  3. Pati, A.K.: Phys. Rev. A 63, 014302 (2001)

    Article  ADS  Google Scholar 

  4. Bennett, C.H., Divincenzo, D.P., Shor, P.W., Smolin, J.A., Terhal, B.M., Wootters, W.K.: Phys. Rev. Lett. 87, 077902 (2001)

    Article  ADS  Google Scholar 

  5. Devetak, I., Berger, T.: Phys. Rev. Lett. 87, 177901 (2001)

    Article  ADS  Google Scholar 

  6. Berry, D.W., Sanders, B.C.: Phys. Rev. Lett. 90, 027901 (2003)

    Article  ADS  Google Scholar 

  7. Abeyesinghe, A., Hayden, P.: Phys. Rev. A 68, 062319 (2003)

    Article  ADS  Google Scholar 

  8. Leung, D.W., Shor, P.W.: Phys. Rev. Lett. 90, 127905 (2003)

    Article  ADS  Google Scholar 

  9. Paris, M.G.A., Cola, M., Bonifacio, R.: J. Opt., B Quantum Semiclass. Opt. 5, S360 (2003)

    Article  ADS  Google Scholar 

  10. Kurucz, Z., Adam, P., Kis, Z., Janszky, J.: Phys. Rev. A 72, 052315 (2005)

    Article  ADS  Google Scholar 

  11. Hayashi, A., Hashimoto, T., Horibe, M.: Phys. Rev. A 67, 052302 (2003)

    Article  ADS  Google Scholar 

  12. Gour, G., Sanders, B.C.: Phys. Rev. Lett. 93, 260501 (2004)

    Article  ADS  Google Scholar 

  13. Xia, Y., Song, J., Song, H.S.: J. Phys. B, At. Mol. Opt. Phys. 40, 3719 (2007)

    Article  ADS  Google Scholar 

  14. An, N.B., Kim, J.: J. Phys. B, At. Mol. Opt. Phys. 41, 095501 (2008)

    Article  ADS  Google Scholar 

  15. Liu, J.M., Feng, X.L., Oh, C.H.: J. Phys. B, At. Mol. Opt. Phys. 42, 055508 (2009)

    Article  ADS  Google Scholar 

  16. Ma, P.C., Zhan, Y.B.: Opt. Commun. 283, 2640 (2010)

    Article  ADS  Google Scholar 

  17. Luo, M.X., Chen, X.B., Ma, S.Y., Yang, Y.X., Hu, Z.M.: J. Phys. B, At. Mol. Opt. Phys. 43, 065501 (2010)

    Article  ADS  Google Scholar 

  18. Wu, W., Liu, W.T., Chen, P.X., Li, C.Z.: Phys. Rev. A 81, 042301 (2010)

    Article  ADS  Google Scholar 

  19. Zeng, B., Zhang, P.: Phys. Rev. A 65, 022316 (2002)

    Article  ADS  Google Scholar 

  20. Ye, M.Y., Zhang, Y.S., Guo, G.C.: Phys. Rev. A 69, 022310 (2004)

    Article  ADS  Google Scholar 

  21. Yu, C.S., Song, H.S., Wang, Y.H.: Phys. Rev. A 73, 022340 (2006)

    Article  ADS  Google Scholar 

  22. Peng, X.H., Zhu, X.W., Fang, X.M., Feng, M., Liu, M.L., Gao, K.L.: Phys. Lett. A 306, 271 (2003)

    Article  ADS  Google Scholar 

  23. Babichev, S.A., Brezger, B., Lvovsky, A.I.: Phys. Rev. Lett. 92, 047903 (2004)

    Article  ADS  Google Scholar 

  24. Xiang, G.Y., Li, J., Yu, B., Guo, G.C.: Phys. Rev. A 72, 012315 (2005)

    Article  ADS  Google Scholar 

  25. Peters, N.A., Barreiro, J.T., Goggin, M.E., Wei, T.C., Kwiat, P.G.: Phys. Rev. Lett. 94, 150502 (2005)

    Article  ADS  Google Scholar 

  26. Rosenfeld, W., Berner, S., Volz, J., Weber, M., Weinfurter, H.: Phys. Rev. Lett. 98, 050504 (2007)

    Article  ADS  Google Scholar 

  27. Mor, T., Horodecki, P.: arXiv:quant-ph/9906039 (1999)

  28. Peres, A.: Quantum Theory: Concepts and Methods. Kluwer Academic, Dordrecht (1993)

    MATH  Google Scholar 

  29. Son, W., Lee, J., Kim, M.S., Park, Y.J.: Phys. Rev. A 64, 064304 (2001)

    Article  ADS  Google Scholar 

  30. Xiao, X.Q., Liu, J.M.: Int. J. Theor. Phys. 46, 2378–2383 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  31. Hou, K., Wang, J., Shi, S.H.: Int. J. Quantum Inf. 6, 1183–1193 (2008)

    Article  MATH  Google Scholar 

  32. Liu, J.M., Feng, X.L., Oh, C.H.: J. Phys. B, At. Mol. Opt. Phys. 42, 055508 (2009)

    Article  ADS  Google Scholar 

  33. Liu, Y.M., Wang, Z.Y., Liu, X.S., Zhang, Z.J.: Int. J. Quantum Inf. 7, 991–999 (2009)

    Article  MATH  Google Scholar 

  34. Wang, Z.Y.: Int. J. Theor. Phys. 49, 1357–1369 (2010)

    Article  MATH  Google Scholar 

  35. Wang, M.Y., Yan, F.L.: arXiv:0902.4782v1 [quant-ph] (2009)

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to You-Bang Zhan.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zhan, YB. Remotely Preparing a Four-Dimensional Quantum State via Positive Operator-Valued Measure. Int J Theor Phys 51, 3001–3012 (2012). https://doi.org/10.1007/s10773-012-1182-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-012-1182-y

Keywords

Navigation