Advertisement

International Journal of Theoretical Physics

, Volume 53, Issue 1, pp 159–168 | Cite as

Efficient Joint Remote Preparation of an Arbitrary m-qudit State with Partially Entangled States

  • Liang-Ting Ai
  • Li Nong
  • Ping Zhou
Article

Abstract

We present an efficient scheme for multiparty joint remote preparation of an arbitrary m-qudit state by using partially entangled states as the quantum channel. One of the senders first performs a collective unitary transformation on his entangled particles and the auxiliary qubit, and then he performs a Z-basis measurement on the auxiliary qubit for transforming the partially entangled quantum channel into the two types of multi-particle entangled states. In the first case, the quantum channel shared by all the senders and the receiver is the target channel. In the second case, the quantum channel transforms into another partially entangled state which is the resource for the quantum channel transformation in the next round. Compared with other protocols, our scheme has advantage of having high success probability for joint remote preparation of an arbitrary m-qudit state via partially entangled states.

Keywords

Joint remote state preparation Partially entangled channel Unitary transformation Auxiliary qubits 

Notes

Acknowledgements

This work was supported by Program for Excellent Talents in Guangxi Higher Education Institutions under Grant Nos. [2012]41, Natural Science Foundation of Guangxi under Grant Nos. 2011GxNSFB018062, Key program of Guangxi University for Nationalities under Grant Nos. [2011]317 and the Bagui scholarship project.

References

  1. 1.
    Ekert, A.K.: Phys. Rev. Lett. 67, 661 (1991) ADSCrossRefMATHMathSciNetGoogle Scholar
  2. 2.
    Bennett, C.H., Brassard, G., Mermin, N.D.: Phys. Rev. Lett. 68, 557 (1992) ADSCrossRefMATHMathSciNetGoogle Scholar
  3. 3.
    Bennett, C.H., Brassard, G., Popescu, S., Schumacher, B., Smolin, J.A., Wootters, W.K.: Phys. Rev. Lett. 76, 722 (1996) ADSCrossRefGoogle Scholar
  4. 4.
    Long, G.L., Liu, X.S.: Phys. Rev. A 65, 032302 (2002) ADSCrossRefGoogle Scholar
  5. 5.
    Deng, F.G., Long, G.L., Liu, X.S.: Phys. Rev. A 68, 042317 (2003) ADSCrossRefGoogle Scholar
  6. 6.
    Long, G.L., Xiao, L.: Phys. Rev. A 69, 052303 (2004) ADSCrossRefMathSciNetGoogle Scholar
  7. 7.
    Feng, G.R., Xu, G.F., Long, G.L.: Phys. Rev. Lett. 110, 190501 (2013) ADSCrossRefGoogle Scholar
  8. 8.
    Ren, B.C., Wei, H.R., Deng, F.G.: Laser Phys. Lett. 10, 095202 (2013) ADSCrossRefGoogle Scholar
  9. 9.
    Wei, H.R., Deng, F.G.: Phys. Rev. A 87, 022305 (2013) ADSCrossRefGoogle Scholar
  10. 10.
    Ren, B.C., Du, F.F., Deng, F.G.: Phys. Rev. A 88, 012302 (2013) ADSCrossRefGoogle Scholar
  11. 11.
    Bennett, C.H., Brassard, G., Crépeau, C., Jozsa, R., Peres, A., Wootters, W.K.: Phys. Rev. Lett. 70, 1895 (1993) ADSCrossRefMATHMathSciNetGoogle Scholar
  12. 12.
    Bouwmeester, D., Pan, J.W., Mattle, K., Eibl, M., Weinfurter, H., Zeilinger, A.: Nature 390, 575 (1997) ADSCrossRefGoogle Scholar
  13. 13.
    Chen, Y.A., Chen, S., Yuan, Z.S., Zhao, B., Chuu, C.S., Schmiedmayer, J., Pan, J.W.: Nat. Phys. 4, 103 (2008) CrossRefGoogle Scholar
  14. 14.
    Olmschenk, S., Matsukevich, D.N., Maunz, P., Hayes, D., Duan, L.M., Monroe, C.: Science 323, 486 (2009) ADSCrossRefGoogle Scholar
  15. 15.
    Li, W.L., Li, C.F., Guo, G.C.: Phys. Rev. A 61, 034301 (2000) ADSCrossRefGoogle Scholar
  16. 16.
    Yan, F.L., Wang, D.: Phys. Lett. A 316, 297 (2003) ADSCrossRefMATHMathSciNetGoogle Scholar
  17. 17.
    Deng, F.G., et al.: Phys. Rev. A 72, 022338 (2005) ADSCrossRefGoogle Scholar
  18. 18.
    Deng, F.G., et al.: Phys. Rev. A 72, 044301 (2005) ADSCrossRefGoogle Scholar
  19. 19.
    Zhou, P., et al.: J. Phys. A 40, 13121 (2007) ADSCrossRefMATHMathSciNetGoogle Scholar
  20. 20.
    Long, L.R., et al.: Sci. China Ser. G 54, 484 (2011) CrossRefGoogle Scholar
  21. 21.
    Li, Z., et al.: Sci. China Ser. G 55, 2445 (2012) ADSCrossRefGoogle Scholar
  22. 22.
    Pati, A.K.: Phys. Rev. A 63, 014302 (2001) ADSCrossRefGoogle Scholar
  23. 23.
    Bennett, C.H., DiVincenzo, D.P., Shor, P.W., Smolin, J.A., Terhal, B.M., Wootters, W.K.: Phys. Rev. Lett. 87, 077902 (2001) ADSCrossRefGoogle Scholar
  24. 24.
    Lo, H.K.: Phys. Rev. A 62, 012313 (2000) ADSCrossRefGoogle Scholar
  25. 25.
    Xia, Y., et al.: J. Phys. B 40, 3719 (2007) ADSCrossRefGoogle Scholar
  26. 26.
    Zeng, B., et al.: Phys. Rev. A 65, 022316 (2002) ADSCrossRefGoogle Scholar
  27. 27.
    Leung, D.W., et al.: Phys. Rev. Lett. 90, 127905 (2003) ADSCrossRefGoogle Scholar
  28. 28.
    Berry, D.W., et al.: Phys. Rev. Lett. 90, 057901 (2003) ADSCrossRefGoogle Scholar
  29. 29.
    Yu, C.S., et al.: Phys. Rev. A 73, 022340 (2006) ADSCrossRefGoogle Scholar
  30. 30.
    Wang, M.Y., et al.: Commun. Theor. Phys. 54, 792 (2010) ADSCrossRefMATHGoogle Scholar
  31. 31.
    Liu, J.M., et al.: Europhys. Lett. 87, 30006 (2009) ADSCrossRefGoogle Scholar
  32. 32.
    Liang, H.Q., et al.: J. Phys. B 44, 115506 (2011) ADSCrossRefGoogle Scholar
  33. 33.
    Jiang, M., Dong, D.Y.: J. Phys. B 45, 205506 (2012) ADSCrossRefGoogle Scholar
  34. 34.
    Nguyen, B.A.: J. Phys. B 42, 125501 (2009) CrossRefGoogle Scholar
  35. 35.
    Xiao, X.Q., Liu, J.M., Zeng, G.H.: J. Phys. B 44, 075501 (2011) ADSCrossRefGoogle Scholar
  36. 36.
    Chen, Q.Q., Xia, Y., Nguyen, B.A.: Opt. Commun. 284, 2617 (2011) ADSCrossRefGoogle Scholar
  37. 37.
    Long, L.R., Zhou, P., Li, C., Yin, C.L.: Int. J. Theor. Phys. 51, 2438 (2012) CrossRefMATHMathSciNetGoogle Scholar
  38. 38.
    Zhou, P., Li, H.W., Long, L.R.: Int. J. Theor. Phys. 52, 849 (2013) CrossRefMATHGoogle Scholar
  39. 39.
    Jiang, M., Zhou, L.L., Chen, X.P., You, S.H.: Opt. Commun. (2013). doi: 10.1016/j.optcom.2013.03.019 Google Scholar
  40. 40.
    Zhou, P., et al.: Phys. Scr. 79, 035005 (2009) ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.School of ScienceGuangxi University for NationalitiesNanningPeople’s Republic of China
  2. 2.Guangxi Key Laboratory of Hybrid Computational and IC Design AnalysisNanningPeople’s Republic of China

Personalised recommendations