Skip to main content
SpringerLink
Log in

Probabilistic Multiparty Joint Remote Preparation of an Arbitrary m-Qubit State with a Pure Entangled Channel Against Collective Noise

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

Abstract

We present a scheme for multiparty joint remote preparation of an arbitrary m-qubit state with a multiparticle entangled quantum channel against collective noise. All the senders share the information of the prepared state and perform corresponding measurement according to their knowledge of the prepared state, the receiver can reconstruct the original state by performing corresponding unitary operation on his particles if he cooperates with all the senders. Moreover, the agents use decoherence-free subspace to tolerate the collective noise. This scheme has the advantage of having high success probability for multiparty joint remote preparation of an arbitrary m-qubit state via pure entangled states.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Bennett, C.H., Brassad, G.: In: Proc. IEEE Int. Conf. on Computers, Systems and Signal Processing, p. 175. Bangalore, India, IEEE, New York (1984)

    Google Scholar 

  2. Ekert, A.K.: Phys. Rev. Lett. 67, 661 (1991)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  3. Bennett, C.H., Brassard, G., Mermin, N.D.: Phys. Rev. Lett. 68, 557 (1992)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  4. Deng, F.G., Long, G.L.: Phys. Rev. A 68, 042315 (2003)

    Article  ADS  Google Scholar 

  5. Deng, F.G., Long, G.L.: Phys. Rev. A 70, 012311 (2004)

    Article  ADS  Google Scholar 

  6. Wen, K., Tamaki, K., Yamamoto, Y.: Phys. Rev. Lett. 103, 170503 (2009)

    Article  ADS  Google Scholar 

  7. Long, G.L., Liu, X.S.: Phys. Rev. A 65, 032302 (2002)

    Article  ADS  Google Scholar 

  8. Deng, F.G., Long, G.L., Liu, X.S.: Phys. Rev. A 68, 042317 (2003)

    Article  ADS  Google Scholar 

  9. Deng, F.G., Long, G.L.: Phys. Rev. A 69, 052319 (2004)

    Article  ADS  Google Scholar 

  10. Wang, C., Deng, F.G., Li, Y.S., et al.: Phys. Rev. A 71, 044305 (2005)

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  12. Karlsson, A., Koashi, M., Imoto, N.: Phys. Rev. A 59, 162 (1999)

    Article  ADS  Google Scholar 

  13. Xiao, L., Long, G.L., Deng, F.G., et al.: Phys. Rev. A 69, 052307 (2004)

    Article  ADS  Google Scholar 

  14. Deng, F.G., Li, X.H., Zhou, H.Y., et al.: Phys. Rev. A 72, 044302 (2005)

    Article  ADS  Google Scholar 

  15. Deng, F.G., Y, Z.H., Long, G.L.: Phys. Lett. A 337, 329 (2005)

    Article  ADS  MATH  Google Scholar 

  16. Deng, F.G., Li, X.H., Zhou, H.Y.: Phys. Lett. A 372, 1957 (2008)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  17. Bennett, C.H., Brassard, G., Crépeau, C., et al.: Phys. Rev. Lett. 70, 1895 (1993)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  18. Bouwmeester, D., Pan, J.W., Mattle, K., et al.: Nature 390, 575 (1997)

    Article  ADS  Google Scholar 

  19. Chen, Y.A., Chen, S., Yuan, Z.S., et al.: Nat. Phys. 4, 103 (2008)

    Article  MathSciNet  Google Scholar 

  20. Olmschenk, S., Matsukevich, D.N., Maunz, P., et al.: Science 323, 486 (2009)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  22. Yan, F.L., Wang, D.: Phys. Lett. A 316, 297 (2003)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  23. Verstraete, F., Verschelde, H.: Phys. Rev. Lett. 90, 097901 (2003)

    Article  ADS  Google Scholar 

  24. Wang, G.M., Ying, M.S.: Phys. Rev. A 77, 032324 (2008)

    Article  ADS  Google Scholar 

  25. Long, L.R., Li, H.W., Zhou, P., et al.: Sci. China Ser. G, Phys. Astron. 54, 484 (2011)

    Article  ADS  Google Scholar 

  26. Deng, F.G., Li, C.Y., Li, Y.S., et al.: Phys. Rev. A 72, 022338 (2005)

    Article  ADS  Google Scholar 

  27. Deng, F.G., Li, X.H., Li, C.Y., et al.: Phys. Rev. A 72, 044301 (2005)

    Article  ADS  Google Scholar 

  28. Li, X.H., Zhou, P., Li, C.Y., et al.: J. Phys. B 39, 1975 (2006)

    Article  ADS  Google Scholar 

  29. Li, X.H., Deng, F.G., Zhou, H.Y.: Chin. Phys. Lett. 24, 1151 (2007)

    Article  ADS  Google Scholar 

  30. Zhou, P., Li, X.H., Deng, F.G., et al.: J. Phys. A 40, 13121 (2007)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  31. Sheng, Y.B., Deng, F.G., Zhou, H.Y.: Eur. Phys. J., D, At. Mol. Opt. Phys. 48, 279 (2008)

    ADS  Google Scholar 

  32. Bennett, C.H., Brassard, G., Popescu, B., et al.: Phys. Rev. Lett. 76, 722 (1996)

    Article  ADS  Google Scholar 

  33. Deutsch, D., Ekert, A., Jozsa, R., et al.: Phys. Rev. Lett. 77, 2818 (1996)

    Article  ADS  Google Scholar 

  34. Pan, J.W., Simon, C., Zellinger, A.: Nature 410, 1067 (2001)

    Article  ADS  Google Scholar 

  35. Simon, C., Pan, J.W.: Phys. Rev. Lett. 89, 257901 (2002)

    Article  ADS  Google Scholar 

  36. Sheng, Y.B., Deng, F.G., Zhou, H.Y.: Phys. Rev. A 77, 042308 (2008)

    Article  ADS  Google Scholar 

  37. Sheng, Y.B., Deng, F.G.: Phys. Rev. A 81, 032307 (2010)

    Article  ADS  Google Scholar 

  38. Sheng, Y.B., Deng, F.G.: Phys. Rev. A 82, 044305 (2010)

    Article  ADS  Google Scholar 

  39. Li, X.H.: Phys. Rev. A 82, 044304 (2010)

    Article  ADS  Google Scholar 

  40. Deng, F.G.: Phys. Rev. A 83, 062316 (2011)

    Article  ADS  Google Scholar 

  41. Murao, M., Plenio, M.B., Popescu, S., et al.: Phys. Rev. A 57, R4075 (1998)

    Article  ADS  Google Scholar 

  42. Sheng, Y.B., Deng, F.G., Zhou, H.Y.: Eur. Phys. J. D 55, 235 (2009)

    Article  ADS  Google Scholar 

  43. Wang, C., Zhang, Y., Jin, G.S.: Quantum Inf. Comput. 11, 988 (2011)

    MathSciNet  MATH  Google Scholar 

  44. Wang, C., Zhang, Y., Jin, G.S.: Phys. Rev. A 84, 032307 (2011)

    Article  ADS  Google Scholar 

  45. Deng, F.G.: Phys. Rev. A 84, 052312 (2011)

    Article  ADS  Google Scholar 

  46. Bennett, C.H., Bernstein, H.J., Popescu, S., et al.: Phys. Rev. A 53, 2046 (1996)

    Article  ADS  Google Scholar 

  47. Yamamoto, T., Koashi, M., Imoto, N.: Phys. Rev. A 64, 012304 (2001)

    Article  ADS  Google Scholar 

  48. Zhao, Z., Pan, J.W., Zhan, M.S.: Phys. Rev. A 64, 014301 (2001)

    Article  ADS  Google Scholar 

  49. Sheng, Y.B., Deng, F.G., Zhou, H.Y.: Phys. Rev. A 77, 062325 (2008)

    Article  ADS  Google Scholar 

  50. Sheng, Y.B., Deng, F.G., Zhou, H.Y.: Quantum Inf. Comput. 10, 0272 (2010)

    MathSciNet  Google Scholar 

  51. Sheng, Y.B., Zhou, L., Zhao, S.M., et al.: Phys. Rev. A 85, 012307 (2012)

    Article  ADS  Google Scholar 

  52. Deng, F.G.: Phys. Rev. A 85, 022311 (2012)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  54. 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 

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

    Article  ADS  Google Scholar 

  56. Long, G.L., Sun, Y.: Phys. Rev. A 64, 014303 (2001)

    Article  ADS  Google Scholar 

  57. Xu, W.H., et al.: Prog. Nat. Sci. 18, 119 (2008)

    Article  Google Scholar 

  58. Peng, X.H., Zhu, X.W., Fang, X.M., et al.: Phys. Lett. A 306, 271 (2003)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  60. Peters, N.A., Barreiro, J.T., Goggin, M.E., et al.: Phys. Rev. Lett. 94, 150502 (2005)

    Article  ADS  Google Scholar 

  61. Rosenfeld, W., Berner, S., Volz, J., et al.: Phys. Rev. Lett. 98, 050504 (2007)

    Article  ADS  Google Scholar 

  62. Wu, W., Liu, W.T., Chen, P.X., et al.: Phys. Rev. A 81, 042301 (2010)

    Article  ADS  Google Scholar 

  63. Peters, N.A., Wei, T.C., Kwiat, P.G.: Phys. Rev. Lett. 105, 030407 (2010)

    Article  Google Scholar 

  64. Shi, B.S., Tomita, A.: J. Phys. B 4, 380 (2002)

    MathSciNet  Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

  66. Dai, H.Y., Chen, P.X., Liang, L.M., et al.: Phys. Lett. A 355, 285 (2006)

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  70. Luo, M.X., Chen, X.B., Zhou, X.J., et al.: Opt. Commun. 283, 4796 (2010)

    Article  ADS  Google Scholar 

  71. Wang, D., Zha, X.W., Lan, Q., et al.: Opt. Commun. 284, 5853 (2011)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  73. Zhou, P.: J. Phys. A 45, 215305 (2012)

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  76. Nguyen, B.A.: J. Phys. B 42, 125501 (2009)

    Article  Google Scholar 

  77. Xiao, X.Q., Liu, J.M., Zeng, G.H.: J. Phys. B 44, 075501 (2011)

    Article  ADS  Google Scholar 

  78. Long, L.R., Zhou, P., Li, Z., et al.: Int. J. Theor. Phys. 51, 2438 (2012)

    Article  MATH  Google Scholar 

  79. Gu, B., Pei, S.X., Song, B., et al.: Sci. China Ser. G, Phys. Astron. 52, 1913 (2009)

    Article  ADS  Google Scholar 

  80. Yamamoto, T., Shimamura, J., Özdemir, S.K., et al.: Phys. Rev. Lett. 95, 040503 (2005)

    Article  ADS  Google Scholar 

  81. Li, X.H., Deng, F.G., Zhou, H.Y.: Appl. Phys. Lett. 91, 144101 (2007)

    Article  ADS  Google Scholar 

  82. Li, X.H., Deng, F.G., Zhou, H.Y.: Phys. Rev. A 78, 022321 (2008)

    Article  ADS  Google Scholar 

  83. Li, C.Y., Li, Y.S.: Chin. Phys. Lett. 28, 020304 (2011)

    Article  ADS  Google Scholar 

  84. Dong, L., Xiu, X.M., Gao, Y.J., et al.: Commun. Theor. Phys. 54, 269 (2009)

    MathSciNet  ADS  Google Scholar 

  85. Dong, L., Xiu, X.M., Gao, Y.J.: Acta Phys. Pol. B 41, 2377 (2010)

    Google Scholar 

  86. Sheng, Y.B., Deng, F.G.: Phys. Rev. A 81, 042332 (2010)

    Article  ADS  Google Scholar 

  87. Yang, C.W., Tasi, C.W., Hwang, T.: Sci. China Ser. G, Phys. Astron. 54, 496 (2011)

    Article  ADS  Google Scholar 

  88. Xiu, X.M., Dong, L., Gao, Y.J., et al.: Opt. Commun. 282, 4171 (2009)

    Article  ADS  Google Scholar 

  89. Gu, B., Zhang, C.Y., Cheng, G.S., et al.: Sci. China Ser. G, Phys. Astron. 54, 942 (2011)

    Article  ADS  Google Scholar 

  90. Niu, H.C., Ren, B.C., Wang, T.J., et al.: Int. J. Theor. Phys. 51, 2346 (2011)

    Article  Google Scholar 

  91. Deng, F.G., Li, X.H., Zhou, H.Y.: Quantum Inf. Comput. 11, 913 (2011)

    MathSciNet  MATH  Google Scholar 

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

    Article  MATH  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  94. Liu, Y.M., Wang, Z.Y., Liu, S.X., et al.: Int. J. Quant. Phys. 7, 991 (2009)

    Article  MATH  Google Scholar 

Download references

Acknowledgements

This work was supported by the National Natural Science Foundation of China under Grant Nos. 11047102, Natural Science Foundation of Guangxi under Grant Nos. 2011GxNSFB018062 and Educational commission of Guangxi under Grant Nos. 201012MS078.

Author information

Authors and Affiliations

  1. School of Sciences, Guangxi University for Nationalities, Nanning, 530006, People’s Republic of China

    Ping Zhou, Hong-Wei Li & Liu-Rong Long

  2. Guangxi Key Laboratory of Hybrid Computational and IC Design Analysis, Nanning, 530006, People’s Republic of China

    Ping Zhou

Authors
  1. Ping Zhou
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Hong-Wei Li
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Liu-Rong Long
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Ping Zhou.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zhou, P., Li, HW. & Long, LR. Probabilistic Multiparty Joint Remote Preparation of an Arbitrary m-Qubit State with a Pure Entangled Channel Against Collective Noise. Int J Theor Phys 52, 849–861 (2013). https://doi.org/10.1007/s10773-012-1394-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-012-1394-1

Keywords

Search

Navigation