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Controlled Dense Coding with Generalized GHZ-Type State

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Abstract

Two schemes for controlled dense coding with a generalized GHZ-type state are investigated. In this protocol, the supervisor (Cliff) can control the channel and the average amount of information transmitted from the sender (Alice) to the receiver (Bob) by adjusting the local measurement angle θ. The results for the average amounts of information are unique from the different two schemes.

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References

  1. Einstein, A., Podolsky, B., Rosen, N.: Phys. Rev. 47, 777 (1935)

    Article  ADS  MATH  Google Scholar 

  2. Li, S.S., Huang, Y.B.: Int. J. Quantum Inf. 6, 561 (2008)

    Article  MATH  Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

  4. Li, S.S., Nie, Y.Y., Hong, Z.H., Yi, X.J., Huang, Y.B.: Commun. Theor. Phys. 50, 633 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  5. Zhang, Z.J., Liu, Y.M., Man, Z.X.: Commun. Theor. Phys. 44, 847 (2005)

    Article  ADS  Google Scholar 

  6. Zhang, Z.J.: Phys. Lett. A 352, 55 (2006)

    Article  ADS  MATH  Google Scholar 

  7. Zhang, Z.J., Man, Z.X.: Phys. Lett. A 341, 55 (2005)

    Article  ADS  MATH  Google Scholar 

  8. Han, L.F., Fang, M., Shi, S.H., Zhang, Z.J.: Commun. Theor. Phys. 46, 217 (2006)

    Article  ADS  Google Scholar 

  9. Wang, D., Liu, Y.M., Gao, G., Shi, S.H., Zhang, Z.J.: Commun. Theor. Phys. 47, 437 (2007)

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

  11. Huang, Y.B., Li, S.S., Nie, Y.Y.: Int. J. Theor. Phys. 48, 95 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  12. Huang, Y.B., Li, S.S., Nie, Y.Y.: Int. J. Mod. Phys. C 19, 1509 (2008)

    Article  ADS  MATH  Google Scholar 

  13. Li, S.-S.: Int. J. Theor. Phys. 51, 724 (2012)

    Article  MATH  Google Scholar 

  14. Liu, J., Zhang, Z.J.: Commun. Theor. Phys. 49, 887 (2008)

    Article  ADS  Google Scholar 

  15. Wu, C., Wang, Z.S., Feng, X.-L., Goan, H.-S., Kwek, L.C., Lai, C.H., Oh, C.H.: Phys. Rev. A 76, 024302 (2007)

    Article  ADS  Google Scholar 

  16. Wang, Z.S.: Phys. Rev. A 79, 024304 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  17. Wang, Z.Y., Liu, Y.M., Wang, D., Zhang, Z.J.: Opt. Commun. 276, 322 (2007)

    Article  ADS  Google Scholar 

  18. Zhang, Z.J., et al.: Phys. Rev. A 71, 044301 (2005)

    Article  MathSciNet  ADS  Google Scholar 

  19. Zhang, Z.J., et al.: Phys. Rev. A 72, 022303 (2005)

    Article  MathSciNet  ADS  Google Scholar 

  20. Zhang, Z.J., et al.: Opt. Commun. 269, 418 (2007)

    Article  ADS  Google Scholar 

  21. Wang, Z.Y., Liu, Y.M., Wang, D., Zhang, Z.J.: Opt. Commun. 276, 322 (2007)

    Article  ADS  Google Scholar 

  22. Braunstein, S.L., Kimble, H.J.: Phys. Rev. A 61, 042302 (2000)

    Article  MathSciNet  ADS  Google Scholar 

  23. Ban, M.: Opt. Commun. 189, 97 (2001)

    Article  ADS  Google Scholar 

  24. Liu, X.S., et al.: Phys. Rev. A 65, 022304 (2002)

    Article  ADS  Google Scholar 

  25. Grudka, A., Wojcik, A.: Phys. Rev. A 66, 014301 (2002)

    Article  ADS  Google Scholar 

  26. Hao, J.C., et al.: Phys. Rev. A 63, 054301 (2001)

    Article  ADS  Google Scholar 

  27. Zhang, J., et al.: Phys. Rev. A 66, 032318 (2002)

    Article  ADS  Google Scholar 

  28. Jing, J.T., et al.: Phys. Rev. Lett. 90, 167903 (2003)

    Article  ADS  Google Scholar 

  29. Chen, J.L., Kuang, L.M.: Chin. Phys. Lett. 21, 12 (2004)

    Article  ADS  MATH  Google Scholar 

  30. Acin, A., Brub, D., Lewenstein, M., Sanpera, A.: Phys. Rev. Lett. 87, 040401 (2001)

    Article  MathSciNet  ADS  Google Scholar 

  31. Sim, S., Jin, J., Kwon, Y.: Int. J. Theor. Phys. 44, 1419 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  32. Pati, A.K., et al.: Phys. Rev. A 72, 012329 (2005)

    Article  ADS  Google Scholar 

  33. Duan, L.M., Guo, G.C.: Phys. Rev. Lett. 80, 4999 (1998)

    Article  ADS  Google Scholar 

  34. Chefles, A.: Contemp. Phys. 41, 401 (2000)

    Article  ADS  Google Scholar 

  35. Peres, A.: Phys. Lett. A 128, 19 (1988)

    Article  MathSciNet  ADS  Google Scholar 

  36. Mor, T., Horodecki, P.: arXiv:quant-ph/9906039

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Acknowledgements

The authors are grateful to Song-Song Li for useful discussions that took place for the duration of this work.

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Correspondence to Li-Shu Liu.

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Liu, LS., Chen, G. & Rao, S. Controlled Dense Coding with Generalized GHZ-Type State. Int J Theor Phys 51, 3970–3977 (2012). https://doi.org/10.1007/s10773-012-1289-1

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  • DOI: https://doi.org/10.1007/s10773-012-1289-1

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