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Optimizing Scheme for Remote Preparation of Four-particle Cluster-like Entangled States

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Abstract

Recently, Ma et al. (Opt. Commun. 283:2640, 2010) have proposed a novel scheme for preparing a class of cluster-like entangled states based on a four-particle projective measurement. In this paper, we put forward a new and optimal scheme to realize the remote preparation for this class of cluster-like states with the aid of two bipartite partially entangled channels. Different from the previous scheme, we employ a two-particle projective measurement instead of the four-particle projective measurement during the preparation. Besides, the resource consumptions are computed in our scheme, which include classical communication cost and quantum resource consumptions. Moreover, we have some discussions on the features of our scheme and make some comparisons on resource consumptions and operation complexity between the previous scheme and ours. The results show that our scheme is more economic and feasible compared with the previous.

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References

  1. Cirac, J.I., Zoller, P.: Phys. Rev. Lett. 74, 4091 (1995)

    Article  ADS  Google Scholar 

  2. Raussendorf, R., Briegel, H.J.: Phys. Rev. Lett. 86, 5188 (2001)

    Article  ADS  Google Scholar 

  3. Xue, Z.Y., Wang, Z.D.: Phys. Rev. A 75, 064303 (2007)

    Article  ADS  Google Scholar 

  4. Xue, Z.Y., Zhu, S.L., You, J.Q., Wang, Z.D.: Phys. Rev. A 79, 040303(R) (2009)

    Article  ADS  Google Scholar 

  5. Bennett, C.H.: Phys. Rev. Lett. 68, 3121 (1992)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  6. Bennett, C.H., Brassard, G.: In: Proceedings of IEEE international Conference on Computers, System and Signal Processing, Bangalore, India, p. 175. IEEE, New York (1984)

    Google Scholar 

  7. Hillery, M., Bužek, V., Berthiaume, A.: Phys. Rev. A 59, 1829 (1999)

    Article  ADS  MathSciNet  Google Scholar 

  8. Bennett, C.H., Wiesner, S.J.: Phys. Rev. Lett. 69, 2881 (1992)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  9. Bužek, V., Hillery, M.: Phys. Rev. A 54, 1844 (1996)

    Article  ADS  MathSciNet  Google Scholar 

  10. Yu, L.B., et al.: Phys. Rev. A 76, 034303 (2007)

    Article  ADS  Google Scholar 

  11. Zhang, W.H., Ye, L.: New J. Phys. 9, 318 (2007)

    Article  MathSciNet  Google Scholar 

  12. Fang, B.L., Yang, Z., Ye, L.: Phys. Rev. A 79, 054308 (2009)

    Article  ADS  Google Scholar 

  13. Bennett, C.H., et al.: Phys. Rev. Lett. 70, 1895 (1993)

    Article  ADS  MATH  MathSciNet  Google Scholar 

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

    Article  ADS  Google Scholar 

  15. Bennett, C.H., et al.: Phys. Rev. Lett. 87, 077902 (2001)

    Article  ADS  Google Scholar 

  16. Pati, A.K.: Phys. Rev. A 63, 014302 (2000)

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  20. Kurucz, Z., Adam, P., Janszky, J.: Phys. Rev. A 73, 062301 (2006)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  MATH  MathSciNet  Google Scholar 

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

    Article  ADS  MATH  MathSciNet  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  29. Liu, J.M., Feng, X.L., Oh, C.H.: J. Phys. B 42, 055508 (2009)

    Article  ADS  Google Scholar 

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

    Article  ADS  MATH  MathSciNet  Google Scholar 

  31. Wang, D., et al.: Opt. Commun. 281, 871 (2008)

    Article  ADS  Google Scholar 

  32. Dai, H.Y., et al.: Chin. Phys. B 17, 0027 (2008)

    Article  ADS  Google Scholar 

  33. Dai, H.Y., et al.: Phys. Lett. A 355, 285 (2006)

    Article  ADS  Google Scholar 

  34. Yan, F.L., Zhang, G.H.: Int. J. Quantum Inf. 6, 485 (2008)

    Article  MATH  MathSciNet  Google Scholar 

  35. Mikami, H., Kobayashi, T.: Phys. Rev. A 75, 022325 (2007)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  38. Peng, X.H., et al.: Phys. Lett. A 306, 271 (2003)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  40. Peters, N.A., et al.: Phys. Rev. Lett. 94, 150502 (2005)

    Article  ADS  Google Scholar 

  41. Jeffrey, E., Peters, N.A., Kwiat, P.G.: New J. Phys. 6, 100 (2004)

    Article  ADS  Google Scholar 

  42. Liu, W.T., Wu, W., Ou, B.Q., Chen, P.X., Li, C.Z., Yuan, J.M.: Phys. Rev. A 76, 022308 (2007)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  45. Yuan, H., et al.: J. Phys. B 41, 015503 (2008)

    Article  ADS  Google Scholar 

  46. Monroe, C., et al.: Phys. Rev. Lett. 75, 4714 (1995)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  47. Schmidt-Kaler, F., et al.: Nature (London) 422, 408 (2003)

    Article  ADS  Google Scholar 

  48. Yamamoto, T., et al.: Nature (London) 425, 941 (2003)

    Article  ADS  Google Scholar 

  49. Plantenberg, J.H., et al.: Nature (London) 447, 836 (2007)

    Article  ADS  Google Scholar 

  50. Pittman, T.B., et al.: Phys. Rev. A 68, 032316 (2003)

    Article  ADS  Google Scholar 

  51. O’Brien, J.L., et al.: Nature (London) 426, 264 (2003)

    Article  ADS  Google Scholar 

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Correspondence to Dong Wang.

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Wang, D., Ye, L. Optimizing Scheme for Remote Preparation of Four-particle Cluster-like Entangled States. Int J Theor Phys 50, 2748–2757 (2011). https://doi.org/10.1007/s10773-011-0774-2

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