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Joint Remote Preparation of a Class of Four-Qubit Cluster-Like States with Tripartite Entanglements and Positive Operator-Valued Measurements

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Abstract

In this work, a novel scheme is proposed to realize joint remote preparation regarding a class of four-qubit cluster-like entangled states based on optimal positive operator-valued measurements. To obtain the preparation of desired states, two tripartite non-maximally entangled states are taken as quantum channels, and devoted to building the robust connections amongst the states’ senders and receiver. It turns out that the present scheme enables one to achieve joint remote state preparation with certain success probability (SP) and unit fidelity. Moreover, several nontrivial issues are discussed, including the improvement of SP and the correlation between SP and the employed channels.

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References

  1. Gisin, N., Ribordy, G., Tittel, W., Zbinden, H.: Rev. Mod. Phys. 74, 145 (2002)

    Article  ADS  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

  3. Bennett, C.H., Brassard, G., Crépeau, C., Jozsa, R., Peres, A., Wootters, W.K.: Phys. Rev. Lett. 70, 1895 (1993)

    Article  ADS  MATH  MathSciNet  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  Google Scholar 

  6. 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 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  MATH  MathSciNet  Google Scholar 

  16. Dai, H.Y., Chen, P.X., Zhang, M., Li, C.Z.: Chin. Phys. B 17, 0027 (2008)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  MATH  MathSciNet  Google Scholar 

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

    Article  ADS  Google Scholar 

  20. Wang, D., Ye, L.: Int. J. Theor. Phys. 50, 2748 (2011)

    Article  MATH  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  24. 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 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  MATH  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  39. Wang, D., Ye, L.: Int. J. Theor. Phys. 51, 3376 (2012)

    Article  ADS  MATH  MathSciNet  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  47. Ahnert, S.E., Payne, M.C.: Phys. Rev. A 71, 012330 (2005)

    Article  ADS  Google Scholar 

  48. Ziman, M., Bužek, V.: Phys. Rev. A 72, 022343 (2005)

    Article  ADS  Google Scholar 

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Acknowledgements

This work was supported by the program for the National Natural Science Foundation of China (11247256, 11074002, 61275119 and 11205115), the Specialized Research Fund for Doctoral Program of Higher Education (20103401110003), the fund of the Education Department of Anhui Province for Outstanding Youth (2012SQRL023), the fund of Advanced Energy Material Chemistry of Ministry Education of China (KLAEMC-OP201201), and the Doctor Scientific Research Fund of Anhui University (33190058).

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  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. Joint Remote Preparation of a Class of Four-Qubit Cluster-Like States with Tripartite Entanglements and Positive Operator-Valued Measurements. Int J Theor Phys 52, 3075–3085 (2013). https://doi.org/10.1007/s10773-013-1599-y

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  • DOI: https://doi.org/10.1007/s10773-013-1599-y

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