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Controlled-Joint Remote Preparation of an Arbitrary Two-Qubit State via Non-maximally Entangled Channel

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Abstract

In this paper, we make a study on how to efficiently transmit an arbitrary two-qubit pure state to remote receiver via non-maximal entangled quantum channel. As a special case, in the first section we present a controlled-joint remote state preparation scheme based on maximally entangled channel. By some local convertible projective measurement bases, two message carriers and one controller can help the receiver Charlie reconstruct the desired state with success probability p=100 %. Then, we extend it to the case of non-maximally entangled channel. Utilizing positive operator-valued measure (POVM) measurement instead of projective measurement, the controller can assist the two senders to fulfill the task. Compared with some previous schemes, our protocol will succeed with a higher probability. And success or failure will only depend on the controller’s measurement outcome, but has nothing to do with two senders’ measurement results.

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References

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

  2. Chen, X.B., Wen, Q.Y., Xu, G., Yang, Y.X., Zhu, F.C.: Phys. Rev. A 79, 036301 (2009)

    Article  ADS  Google Scholar 

  3. Chen, X.B., Zhang, N., Lin, S., Wen, Q.Y., Zhu, F.C.: Opt. Commun. 281, 2331–2335 (2008)

    Article  ADS  Google Scholar 

  4. Chen, X.B., Xu, G., Yang, Y.X., Wen, Q.Y.: Opt. Commun. 283, 4802–4809 (2010)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  6. Pati, A.L.: Phys. Rev. A 63, 014302 (2001)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  14. Pan, J.W., Bouwmeester, D., Daniell, M., Weinfurter, H., Zeilinger, A.: Nature 403, 515 (2000)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  16. 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 

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

    Article  ADS  Google Scholar 

  18. Chen, X.B., Ma, S.Y., Su, Y., Zhang, R., Yang, Y.X.: Quantum Inf. Process. (2012). doi:10.1007/s11128-011-0326-y

    Google Scholar 

  19. Wang, D., Liu, Y.M., Zhang, Z.J.: Opt. Commun. 281, 871 (2008)

    Article  ADS  Google Scholar 

  20. Liu, J.M., Feng, X.L., Oh, C.H.: Europhys. Lett. 87, 30006 (2009)

    Article  ADS  Google Scholar 

  21. Ma, S.Y., Chen, X.B., Luo, M.X., Zhang, R., Yang, Y.X.: Opt. Commun. 284, 4088 (2011)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  23. Xia, Y., Song, J., Song, H.S., Guo, J.L.: Int. J. Quantum Inf. 6, 1127 (2008)

    Article  MATH  Google Scholar 

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

    Article  ADS  Google Scholar 

  25. An, N.B., Kim, J.: Int. J. Quantum Inf. 6, 1051 (2008)

    Article  MATH  Google Scholar 

  26. Luo, M.X., Chen, X.B., Ma, S.Y., Niu, X.X., Yang, Y.X.: Opt. Commun. 283, 4796 (2010)

    Article  ADS  Google Scholar 

  27. Chen, Q.Q., Xia, Y., An, N.B.: Opt. Commun. 284, 2617 (2011)

    Article  ADS  Google Scholar 

  28. Chen, Q.Q., Xia, Y., Song, J., An, N.B.: Phys. Lett. A 374, 4483 (2010)

    Article  ADS  MATH  Google Scholar 

  29. An, N.B.: Opt. Commun. 283, 4113 (2010)

    Article  ADS  Google Scholar 

  30. Dong, W., Zha, X.W., Lan, Q.: Opt. Commun. 284, 5853 (2011)

    Article  ADS  Google Scholar 

  31. Wu, W., Liu, W.T., Chen, P.X.: Phys. Rev. A 81, 042301 (2011)

    Article  ADS  Google Scholar 

  32. Wang, Z.Y.: Int. J. Theor. Phys. 49, 1357 (2010)

    Article  MATH  Google Scholar 

  33. Song, J.F., Wang, Z.Y.: Int. J. Theor. Phys. 50, 2410 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  34. Xiao, X.Q., Liu, J.M., Zeng, G.: J. Phys. B, At. Mol. Opt. Phys. 44, 075501 (2011)

    Article  ADS  Google Scholar 

  35. An, N.B., Bith, C.T., Don, N.V.: Phys. Lett. A 375, 3570 (2011)

    Article  MathSciNet  ADS  Google Scholar 

  36. Briegel, H.S., Raussendorf, R.: Phys. Rev. Lett. 86, 910 (2001)

    Article  ADS  Google Scholar 

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Acknowledgements

Project supported by the National Natural Science Foundation of China (Nos. 61003287, 61170272), the Specialized Research Fund for the Doctoral Program of Higher Education (20100005120002), the Fok Ying Tong Education Foundation (No. 131067) and the Fundamental Research Funds for the Central Universities (No. BUPT2012RC0221).

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Correspondence to Xiao-Wei Guan.

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Guan, XW., Chen, XB. & Yang, YX. Controlled-Joint Remote Preparation of an Arbitrary Two-Qubit State via Non-maximally Entangled Channel. Int J Theor Phys 51, 3575–3586 (2012). https://doi.org/10.1007/s10773-012-1244-1

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  • DOI: https://doi.org/10.1007/s10773-012-1244-1

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