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Sharing a Qudit State by Using Bell States Channel

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Abstract

We propose a tripartite scheme for sharing a ququart pure state by using three Bell states as the quantum channel. The scheme is then generalized to qudit state case. We also show that this scheme is applicable to sharing any multi-qudit entangled states.

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References

  1. Bennett, C.H., Brassard, G.: In: Proceedings of IEEE International Conference on Computers, Systems, and Signal Processing, Bangalore, India, p. 175. IEEE Press, 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., Creṕeau, C., Jozsa, R., Peres, A., Wootters, W.K.: Phys. Rev. Lett. 70, 1895 (1993)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  4. Deng, F.G., et al.: Phys. Rev. A 72, 022338 (2005)

    Article  ADS  Google Scholar 

  5. Zhang, Z.J., et al.: Phys. Lett. A 372, 28 (2007)

    Article  ADS  MATH  Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

  7. Pati, A.K., Parashar, P., Agrawal, P.: Phys. Rev. A 72, 012329 (2005)

    Article  ADS  Google Scholar 

  8. Yang, W.X., Gong, Z.X.: J. Phys. B 40, 1245 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  9. Hillery, M., Buz̆ek, V., Berthiaume, A.: Phys. Rev. A 59, 1829 (1999)

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  11. Xiao, L., et al.: Phys. Rev. A 69, 052307 (2004)

    Article  ADS  Google Scholar 

  12. Blakley, G.R.: In: Proceedings of the American Federation of Information Processing 1979 National Computer Conference, pp. 313–317. American Federation of Information Processing, Arlington (1979)

    Google Scholar 

  13. Shamir, A.: Commun. ACM 22, 612 (1979)

    Article  MathSciNet  MATH  Google Scholar 

  14. Gottesman, D.: Phys. Rev. A 61, 042311 (2000)

    Article  MathSciNet  ADS  Google Scholar 

  15. Li, Y.M., Zhang, K.S., Peng, K.C.: Phys. Lett. A 324, 420 (2004)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  16. Yu, Y.F., Feng, J., Zhan, M.S.: Phys. Rev. A 66, 052310 (2002)

    Article  ADS  Google Scholar 

  17. Hsu, L.Y.: Phys. Rev. A 68, 022306 (2003)

    Article  ADS  Google Scholar 

  18. Yu, Y.F., Feng, J., Zhan, M.S.: Phys. Rev. A 68, 024303 (2003)

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

  20. Yan, F.L., Gao, T.: Phys. Rev. A 72, 012304 (2005)

    Article  ADS  Google Scholar 

  21. Deng, F.G., Long, G.L., Zhou, H.Y.: Phys. Lett. A 340, 43 (2003)

    Article  ADS  Google Scholar 

  22. Deng, F.G., Zhou, H.Y., Long, G.L.: Phys. Lett. A 340, 43 (2003)

    Article  ADS  Google Scholar 

  23. Lance, A.M., Symul, T., Bowen, W.P., Sanders, B.C., Lam, P.K.: Phys. Rev. Lett. 92, 177903 (2004)

    Article  ADS  Google Scholar 

  24. Lance, A.M., et al.: Phys. Rev. A 71, 033814 (2005)

    Article  ADS  Google Scholar 

  25. Deng, F.G., Li, X.H., Li, C.Y., Zhou, H.Y.: Phys. Rev. A 72, 044301 (2005)

    Article  ADS  Google Scholar 

  26. Deng, F.G., Zhou, H.Y., Long, G.L.: J. Phys. A 39, 14089 (2006)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  27. Chen, P., Deng, F.G., Long, G.L.: Chin. Phys. B 15, 2228 (2006)

    Article  Google Scholar 

  28. Zheng, S.B.: Phys. Rev. A 74, 054303 (2006)

    Article  ADS  Google Scholar 

  29. Deng, F.G., Li, X.H., Li, C.Y., Zhou, P., Zhou, H.Y.: Eur. Phys. J. D 39, 459 (2006)

    Article  ADS  Google Scholar 

  30. Deng, F.G., Li, X.H., Li, C.Y., Zhou, P., Zhou, H.Y.: Phys. Lett. A 354, 190 (2006)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  31. Cheung, C.Y.: Phys. Scr. 74, 459 (2006)

    Article  MathSciNet  ADS  MATH  Google Scholar 

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

    Article  ADS  Google Scholar 

  33. Wang, T.J., Zhou, H.Y., Deng, F.G.: Physica A 387, 4716 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  34. Yang, W.X., Chen, A.X.: Mod. Phys. Lett. B 22, 1243 (2008)

    Article  ADS  MATH  Google Scholar 

  35. Hao, L., Li, J.L., Long, G.L.: Sci. China Ser. G 53, 491 (2010)

    Article  Google Scholar 

  36. Hao, L., Wang, C., Long, G.L.: Opt. Commun. 284, 3639 (2011)

    Article  ADS  Google Scholar 

  37. Liu, X.F., Pan, R.J.: Phys. Scr. 84, 045015 (2011)

    Article  ADS  Google Scholar 

  38. Zhang, W., Liu, Y.M., Zhang, Z.J., Cheung, C.Y.: Opt. Commun. 283, 628 (2010)

    Article  ADS  Google Scholar 

  39. Zhou, J.D., Hou, G., Zhang, Y.D.: Phys. Rev. A 64, 012301 (2001)

    Article  ADS  Google Scholar 

  40. Zeng, B., Zhang, P.: Phys. Rev. A 65, 022316 (2002)

    Article  ADS  Google Scholar 

  41. Yu, C.S., Song, H.S., Wang, Y.H.: Phys. Rev. A 73, 022340 (2006)

    Article  ADS  Google Scholar 

  42. Xia, Y., Song, H.S.: Phys. Lett. A 364, 117 (2007)

    Article  ADS  MATH  Google Scholar 

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Acknowledgements

This work is partly supported by the National Natural Science Foundation of China under Grant No. 11074002, the Scientific Director Fund of National Natural Science Foundation of China under Grant No. 11047178 and the 211 Project of Anhui University.

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Authors and Affiliations

  1. Key Laboratory of Optoelectronic Information Acquisition & Manipulation of Ministry of Education of China, School of Physics & Material Science, Anhui University, Hefei, 230039, China

    Wen Zhang

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

    Xue-qin Zuo & Zi-yun Zhang

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  1. Wen Zhang
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  2. Xue-qin Zuo
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  3. Zi-yun Zhang
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Correspondence to Zi-yun Zhang.

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Zhang, W., Zuo, Xq. & Zhang, Zy. Sharing a Qudit State by Using Bell States Channel. Int J Theor Phys 51, 3551–3558 (2012). https://doi.org/10.1007/s10773-012-1241-4

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  • DOI: https://doi.org/10.1007/s10773-012-1241-4

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