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International Journal of Theoretical Physics

, Volume 57, Issue 5, pp 1479–1485 | Cite as

Multi-parties Controlled Dense Coding via Maximal Slice States and the Physical Realization Using the Optical Elements

  • Jiahua Wei
  • Lei Shi
  • Shanghong Zhao
  • Lihua Ma
  • Zhiyan Xu
  • Yunxia Li
  • Junwen Luo
  • Boxin Zhao
Article

Abstract

An efficient scheme for controlled dense coding is presented with the aid of the introduction of auxiliary particles, appropriate local unitary operations and measurement basis. In this proposal, the four-qubits maximal slice state, which belongs to partially entangled states, is used as quantum channel. The concrete implementation procedures for our scheme with one sender, one receiver and two controllers are given in detail, and the average transmitted classical information from the sender to the receiver is calculated. Additionally, the physical realization of this proposal is discussed based on the optical elements.

Keywords

Dense coding Maximal slice state The physical realization 

Notes

Acknowledgements

The authors thank Y. Zhu for helpful discussions. This work is supported by the Program for National Natural Science Foundation of China (Grant Nos. 61134008, 61673389, 61703428, 61703420 and 61703422).

References

  1. 1.
    Bennett, C.H., Wootters, W.K.: Phys. Rev. Lett. 69, 2881 (1992)ADSMathSciNetCrossRefGoogle Scholar
  2. 2.
    Mattle, K., Weinfurter, H., Kwiat, P.G., Zeilinger, A.: Phys. Rev. Lett. 76, 4656 (1996)ADSCrossRefGoogle Scholar
  3. 3.
    Zhang, J., Cai, C.D., Peng, K.C.: Phys. Rev. A. 66, 032318 (2002)ADSCrossRefGoogle Scholar
  4. 4.
    Jing, J.T.: Phys. Rev. Lett. 90, 167903 (2003)ADSCrossRefGoogle Scholar
  5. 5.
    Wang, X.W., Peng, Z.H., Jia, C.X., Wang, Y.H., Liu, X.J.: Opt. Commun. 282, 670 (2009)ADSCrossRefGoogle Scholar
  6. 6.
    Zheng, X.J., Xu, H., Fang, M.F., Zhu, K.C.: Chin. Phys. B 19, 010309 (2010)ADSCrossRefGoogle Scholar
  7. 7.
    Situ, H.Z., Qiu, D.W.: J. Phys. A 43, 055301 (2010)ADSMathSciNetCrossRefGoogle Scholar
  8. 8.
    Situ, H.Z.: Int. J. Theor. Phys. 52, 3779 (2013)CrossRefGoogle Scholar
  9. 9.
    Zhang, J.H., He, G.Q.: Quantum Inf. Process. 13, 2437 (2014)MathSciNetCrossRefGoogle Scholar
  10. 10.
    Situ, H.Z.: Int. J. Theor. Phys. 53, 1003 (2014)CrossRefGoogle Scholar
  11. 11.
    Liu, J., Mo, Z.W., Sun, S.Q.: Int. J. Theor. Phys. 55, 2182 (2016)CrossRefGoogle Scholar
  12. 12.
    Hao, J.C., Li, C.F., Guo, G.C.: Phys. Rev. A 63, 054301 (2001)ADSCrossRefGoogle Scholar
  13. 13.
    Huang, Y.B., Li, S.S., Nie, Y.Y.: Int. J. Theor. Phys. 48, 95 (2009)CrossRefGoogle Scholar
  14. 14.
    Ye, L., Yu, Y.B.: Phys. Lett. A 346, 330 (2005)ADSCrossRefGoogle Scholar
  15. 15.
    Kang, Y.H., Chen, Y.H., Shi, Z.C., Song, J., Xia, Y.: Phys. Rev. A 94, 052311 (2016)ADSCrossRefGoogle Scholar
  16. 16.
    Chen, Y.H., Xia, Y., Chen, Q.Q., Song, J.: Laser Phys. Lett. 11, 115201 (2014)ADSCrossRefGoogle Scholar
  17. 17.
    Kang, Y.H., Shi, Z.C., Chen, Y.H., Song, J., Xia, Y.: Ann. Phys.  https://doi.org/10.1002/andp.201700154 (2017)
  18. 18.
    Kang, Y.H., Chen, Y.H., Shi, Z.C., Huang, B.H., Song, J., Xia, Y.: Phys. Rev. A 96, 022304 (2017)ADSCrossRefGoogle Scholar
  19. 19.
    Huang, B.H., Chen, Y.H., Wu, Q.C., Song, J., Xia, Y.: Laser Phys. Lett. 13, 105202 (2016)ADSCrossRefGoogle Scholar
  20. 20.
    Chen, Z., Chen, Y.H., Xia, Y., Song, J., Huang, B.H.: Sci. Rep. 6, 22202 (2016)ADSCrossRefGoogle Scholar
  21. 21.
    Huang, B.H., Chen, Y.H., Wu, Q.C., Huang, B.H., Song, J., Xia, Y.: Sci. Rep. 6, 36737 (2016)ADSCrossRefGoogle Scholar
  22. 22.
    Chen, Y.H., Xia, Y., Song, J., Chen, Q.Q.: Sci. Rep. 5, 15616 (2015)ADSCrossRefGoogle Scholar
  23. 23.
    Liu, X.W.: Int. J. Theor. Phys. 54, 1253 (2015)CrossRefGoogle Scholar
  24. 24.
    Nie, Y.Y., Li, Y., Wang, X.P., Sang, M.H.: Quantum Inf. Process. 12, 1851 (2013)ADSCrossRefGoogle Scholar
  25. 25.
    Carteret, H.A., Sudbery, A.: J. Phys. A 33, 4981 (2000)ADSMathSciNetCrossRefGoogle Scholar
  26. 26.
    Gao, T., Yan, F.L., Li, Y.C.: Eur. Phys. Lett. 84, 50001 (2008)ADSCrossRefGoogle Scholar
  27. 27.
    Wang, C., Zeng, Z., Li, X.H.: Quantum Inf. Process. 14, 1077 (2015)ADSMathSciNetCrossRefGoogle Scholar
  28. 28.
    Xia, Y., Song, J., Song, H.S.: Opt. Commun. 279, 395 (2007)ADSCrossRefGoogle Scholar
  29. 29.
    Xia, Y., Song, J., Lu, P.M., Song, H.S.: Int. J. Theor. Phys. 47, 3226 (2008)CrossRefGoogle Scholar
  30. 30.
    Dai, H.Y.: J. Opt. B 6, 106 (2004)ADSCrossRefGoogle Scholar
  31. 31.
    Dai, H.Y., Chen, P.X., Li, C.Z.: Opt. Commun. 231, 281 (2004)ADSCrossRefGoogle Scholar
  32. 32.
    Qi, B., Pan, H., Guo, L.: IEEE Trans. Autom. Control 58, 1349 (2013)CrossRefGoogle Scholar
  33. 33.
    Qi, B.: Automatica 49, 834 (2013)CrossRefGoogle Scholar
  34. 34.
    Dai, H.Y., Chen, P.X., Zhang, M., Li, C.Z.: Chin. Phys. B 17, 27 (2008)ADSCrossRefGoogle Scholar
  35. 35.
    Cui, W., Xi, Z.R., Pan, Y.: Phys. Rev. A 77, 032117 (2008)ADSCrossRefGoogle Scholar
  36. 36.
    Pan, Y., Xi, Z.R., Cui, W.: Phys. Rev. A 81, 022309 (2010)ADSCrossRefGoogle Scholar
  37. 37.
    Zhang, M., Dai, H.Y., Zhu, X.C., Li, X.W., Hu, D.W.: Phys. Rev. A 73, 032101 (2006)ADSCrossRefGoogle Scholar
  38. 38.
    Long, G.L., Liu, X.: J. Chem. Phys. 119, 8473 (2003)ADSCrossRefGoogle Scholar
  39. 39.
    Zhang, M., Dai, H.Y., Xi, Z.R., Xie, H.W., Hu, D.W.: Phys. Rev. A 76, 042335 (2007)ADSCrossRefGoogle Scholar
  40. 40.
    Wei, J.H., Dai, H.Y., Zhang, M., Yang, L., Kuang, J.S.: Int. J. Quant. Inf. 14, 1650003 (2016)CrossRefGoogle Scholar
  41. 41.
    Xia, Y., Lu, P.M., Song, J., Song, H.S.: Int. J. Theor. Phys. 49, 2045 (2010)CrossRefGoogle Scholar
  42. 42.
    Xia, Y., Song, J., Lu, P.M., Song, H.S.: J. Appl. Phys. 109, 103111 (2011)ADSCrossRefGoogle Scholar
  43. 43.
    Liu, L.J., Cheng, S.M., Qi, B., Xi, Z.R., Dong, D.Y.: J. Phys. B 48, 035502 (2015)ADSCrossRefGoogle Scholar
  44. 44.
    Dai, H.Y., Chen, P.X., Liang, L.M., Li, C.Z.: Phys. Lett. A 355, 285 (2006)ADSCrossRefGoogle Scholar
  45. 45.
    Dai, H.Y., Zhang, M., Zhang, Z.R., Xi, Z.R.: Commun. Theor. Phys. 60, 313 (2013)ADSCrossRefGoogle Scholar
  46. 46.
    Luo, M.X., Chen, X.B., Yang, Y.X., Niu, X.X.: Quantum Inf. Process. 11, 751 (2012)MathSciNetCrossRefGoogle Scholar
  47. 47.
    Wei, J.H., Dai, H.Y., Zhang, M.: Quantum Inf. Process. 13, 2115 (2014)ADSMathSciNetCrossRefGoogle Scholar
  48. 48.
    Lu, Q.C., Liu, D.P., He, Y.H., Liao, Y.M., Qin, X.C., Qin, J.S., Zhou, P.: Int. J. Theor. Phys. 55, 535 (2016)CrossRefGoogle Scholar
  49. 49.
    Bouwmeester, D., Pan, J.W., Mattle, K., Eibl, M., Weinfuter, H., Zeilinger, A.: Nature 390, 575 (1997)ADSCrossRefGoogle Scholar
  50. 50.
    Peng, X., Zhu, X., Fang, X., Feng, M., Liu, M., Gao, K.: Phys. Lett. A 306, 271 (2003)ADSCrossRefGoogle Scholar
  51. 51.
    Xiang, G.Y., Li, J., Bo, Y., Guo, G.C.: Phys. Rev. A 72, 012315 (2005)ADSCrossRefGoogle Scholar
  52. 52.
    Barreiro, J.T., Wei, T.C., Kwiat, P.G.: Phys. Rev. Lett. 105, 030407 (2010)ADSCrossRefGoogle Scholar
  53. 53.
    Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)zbMATHGoogle Scholar
  54. 54.
    Gasparoni, S., Pan, J.W., Bouwmeester, D., Walther, P., Rudolph, T., Zeilinger, A.: Phys. Rev. Lett. 93, 020504 (2004)ADSCrossRefGoogle Scholar
  55. 55.
    Pittman, T.B., Jacobs, B.C., Franson, J.D.: Phys. Rev. Lett. 88, 257902 (2002)ADSCrossRefGoogle Scholar
  56. 56.
    Nemoto, K., Munro, W.J.: Phys. Rev. Lett. 93, 250502 (2004)ADSCrossRefGoogle Scholar
  57. 57.
    Wang, H.F., Wen, J.J., Zhu, A.D., Zhang, S., Yeon, K.H.: Phys. Lett. A 377, 2870 (2013)ADSCrossRefGoogle Scholar
  58. 58.
    Wang, H.F., Zhu, A.D., Zhang, S., Yeon, K.H.: Phys. Rev. A 87, 062337 (2013)ADSCrossRefGoogle Scholar
  59. 59.
    Bai, C.H., Wang, D.Y., Hu, S., Cui, W.X., Jiang, X.X., Wang, H.F.: Quantum Inf. Process. 15, 1485 (2016)ADSMathSciNetCrossRefGoogle Scholar
  60. 60.
    Song, G.Z., Yang, G.J., Zhang, M.: Quantum Inf. Process. 16, 54 (2017)ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Information and Navigation CollegeAir Force Engineering UniversityXi’anPeople’s Republic of China
  2. 2.Department of Automatic Control, College of Mechatronics and AutomationNational University of Defense TechnologyChangshaPeople’s Republic of China
  3. 3.Aeronautics and Astronautics Engineering CollegeAir Force Engineering UniversityXi’anPeople’s Republic of China

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