Skip to main content
Log in

Joint Remote Preparation of a Multipartite GHZ-class State

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

Abstract

For two parties sharing the original state, a scheme for remote preparation of the two-particle entangled state by three partial two-particle entangled states as the quantum channel is presented, and then directly generalize the scheme for remotely preparing a multipartite GHZ-class state for M senders. It is shown that the receiver can obtain the unknown state with certain probability under the condition that only and only if all the senders collaborate with each other. The N-particle projective measurement and the von Neumann measurement are needed in our scheme. The probability of the successful remote state preparation and classical communication cost are calculated.

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., : Phys. Rev. Lett. 70, 1895 (1993)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  2. Lo, H.K.: Phys. Rev. A 62, 012313 (2000)

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  Google Scholar 

  4. Bennett, C.H., : Phys. Rev. Lett. 87, 077902 (2001)

    Article  ADS  Google Scholar 

  5. Devetak, I., Berger, T.: Phys. Rev. Lett. 87, 197901 (2001)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  11. Yu, Y.F., Feng, J., Zhan, M.S.: Phys. Lett. A 310, 329 (2003)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  12. Huang, Y.X., Zhan, M.S.: Phys. Lett. A 327, 404 (2004)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  13. Peng, X., : Phys. Lett. A 306, 271 (2003)

    Article  ADS  Google Scholar 

  14. Xiang, G.Y., Li, J., Bo, Y., Guo, G.C.: Phys. Rev. A 72, 012315 (2005)

    Article  ADS  Google Scholar 

  15. Peters, N.A., : Phys. Rev. Lett. 94, 150502 (2005)

    Article  ADS  Google Scholar 

  16. Shi, B.S., Tomita, A.: J. Opt. B: Quantum Semiclass. Opt. 4, 380 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  17. Liu, J.M., Wang, Y.Z.: Phys. Lett. A 316, 159 (2003)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  18. Liu, J.M., Han, J.R., Wang, Y.Z.: Commun. Theor. Phys. 42, 211 (2004)

    Google Scholar 

  19. Dai, H.Y., Chen, P.X., Liang, L.M., Li, C.Z.: Phys. Lett. A 355, 285 (2006)

    Article  ADS  Google Scholar 

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

    Article  MATH  MathSciNet  Google Scholar 

  21. Xiao, X.Q., Liu, J.M.: Commun. Theor. Phys. 47, 247 (2007)

    Article  Google Scholar 

  22. Xu, X.B., Liu, J.-M.: Can. J. Phys. 84, 1089 (2006)

    Article  ADS  Google Scholar 

  23. Hou, K., Shi, S.H.: Int. J. Quantum Inf. 6, 1183 (2008)

    Article  Google Scholar 

  24. Xia, Y., Song, J., Song, H.S.: J. Phys. B 40, 3719 (2007)

    Article  ADS  Google Scholar 

  25. Nguyen, B.A., Kim, J.: J. Phys. B 41, 095501 (2008)

    Article  ADS  Google Scholar 

  26. Ma, P.C., Zhan, Y.B.: Chin. Phys. B 17, 1674 (2008)

    Google Scholar 

  27. Pan, J.W., : Phys. Rev. Lett. 80, 3891 (1998)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  28. Li, W.L., Li, C.F., Gao, G.C.: Phys. Rev. A 61, 034301 (2000)

    Article  ADS  Google Scholar 

  29. Grudka, A., Wojcik, A.: Phys. Rev. A 66, 014301 (2002)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Kui Hou.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hou, K., Wang, J., Lu, YL. et al. Joint Remote Preparation of a Multipartite GHZ-class State. Int J Theor Phys 48, 2005–2015 (2009). https://doi.org/10.1007/s10773-009-9975-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-009-9975-3

Keywords

Navigation