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Probabilistic Joint Remote Preparation of Four-Particle Cluster-Type States with Quaternate Partially Entangled Channels

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Abstract

We put forward a new and feasible scheme to realize joint remote preparation of four-particle cluster-type states based on two quaternate partially entangled states as quantum channels. During the preparation, each of the states’ senders is just required to perform a bipartite projective measurement in a 2×2-dimensional Hilbert space, and the receiver needs to implement some appropriate unitary operations including a local triplet collective transformation. It is proved that our scheme can be accomplished in a probabilistic manner, and the success probability of preparation (SPP) is dependent on the entangled states set up in prior. Moreover, it is explored that SPP can be greatly enhanced to be quadruple of that in general case, when the prepared states belong to some special ensembles. And the scheme feasibility is evaluated finally.

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

    Article  ADS  Google Scholar 

  3. Pati, A.K.: Phys. Rev. A 63, 015302 (2000)

    Article  MathSciNet  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, 197901 (2001)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  7. Berry, D.W., Sanders, B.C.: Phys. Rev. Lett. 90, 057901 (2003)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  12. Wu, W., Liu, W.T., Ou, B.Q., Chen, P.X., Li, C.Z.: Opt. Commun. 281, 1751 (2008)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  17. An, N.B.: J. Phys. B, At. Mol. Opt. Phys. 42, 125501 (2009)

    Article  ADS  Google Scholar 

  18. Zha, X.W., Song, H.Y.: Opt. Commun. 284, 1472 (2011)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  MATH  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  23. Zhan, Y.B., Hu, B.L., Ma, P.C.: J. Phys. B, At. Mol. Opt. Phys. 44, 095501 (2011)

    Article  ADS  Google Scholar 

  24. An, N.B., Bich, T., Don, N.V.: J. Phys. B, At. Mol. Opt. Phys. 44, 135506 (2011)

    Article  ADS  Google Scholar 

  25. Aharonov, Y., Albert, D.Z., Vaidman, L.: Phys. Rev. Lett. 60, 1351 (1988)

    Article  ADS  Google Scholar 

  26. Aharonov, Y., Vaidman, L.: Phys. Rev. A 41, 11 (1990)

    Article  MathSciNet  ADS  Google Scholar 

  27. Johansen, L.M.: Phys. Rev. A 76, 012119 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  28. Grudka, A., Wójcik, A.: Phys. Rev. A 66, 064303 (2002)

    Article  ADS  Google Scholar 

  29. Loock, P.V., Lütkenhaus, N.: Phys. Rev. A 69, 012302 (2004)

    Article  ADS  Google Scholar 

  30. Takeoka, M., Sasaki, M., Loock, P.V., Lütkenhaus, N.: Phys. Rev. A 71, 022318 (2005)

    Article  ADS  Google Scholar 

  31. Takeoka, M., Sasaki, M., Lütkenhaus, N.: Phys. Rev. Lett. 97, 040502 (2006)

    Article  ADS  Google Scholar 

  32. Reck, M., Zeilinger, A., Bernstein, H.J., Bertani, P.: Phys. Rev. Lett. 73, 58 (1994)

    Article  ADS  Google Scholar 

  33. Knill, E., Laflamme, R., Milburn, G.J.: Nature (London) 409, 46 (2001)

    Article  ADS  Google Scholar 

  34. Pittman, T.B., Fitch, M.J., Jacobs, B.C., Franson, J.D.: Phys. Rev. A 68, 032316 (2003)

    Article  ADS  Google Scholar 

  35. O’Brien, J.L., Pryde, G.J., White, A.G., Ralph, T.C., Branning, D.: Nature (London) 426, 264 (2003)

    Article  ADS  Google Scholar 

  36. Gasparoni, S., Pan, J.W., Walther, P., Rudolph, T., Zeilinger, A.: Phys. Rev. Lett. 93, 020504 (2004)

    Article  ADS  Google Scholar 

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Acknowledgements

This work was supported by the program for the National Natural Science Foundation of China (11074002), the Specialized Research Fund for Doctoral Program of Higher Education (20103401110003), the fund of the Education Department of Anhui Province for Outstanding Youth (2012SQRL023), and the Doctor Scientific Research Fund of Anhui University (33190058).

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Authors and Affiliations

  1. School of Physics & Material Science, Anhui University, Hefei, 230039, China

    Dong Wang & Liu Ye

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  1. Dong Wang
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  2. Liu Ye
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Correspondence to Dong Wang.

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Wang, D., Ye, L. Probabilistic Joint Remote Preparation of Four-Particle Cluster-Type States with Quaternate Partially Entangled Channels. Int J Theor Phys 51, 3376–3386 (2012). https://doi.org/10.1007/s10773-012-1217-4

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  • DOI: https://doi.org/10.1007/s10773-012-1217-4

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