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

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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.

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References

  1. Bennett, C.H., Wootters, W.K.: Phys. Rev. Lett. 69, 2881 (1992)

    Article  ADS  MathSciNet  Google Scholar 

  2. Mattle, K., Weinfurter, H., Kwiat, P.G., Zeilinger, A.: Phys. Rev. Lett. 76, 4656 (1996)

    Article  ADS  Google Scholar 

  3. Zhang, J., Cai, C.D., Peng, K.C.: Phys. Rev. A. 66, 032318 (2002)

    Article  ADS  Google Scholar 

  4. Jing, J.T.: Phys. Rev. Lett. 90, 167903 (2003)

    Article  ADS  Google Scholar 

  5. Wang, X.W., Peng, Z.H., Jia, C.X., Wang, Y.H., Liu, X.J.: Opt. Commun. 282, 670 (2009)

    Article  ADS  Google Scholar 

  6. Zheng, X.J., Xu, H., Fang, M.F., Zhu, K.C.: Chin. Phys. B 19, 010309 (2010)

    Article  ADS  Google Scholar 

  7. Situ, H.Z., Qiu, D.W.: J. Phys. A 43, 055301 (2010)

    Article  ADS  MathSciNet  Google Scholar 

  8. Situ, H.Z.: Int. J. Theor. Phys. 52, 3779 (2013)

    Article  Google Scholar 

  9. Zhang, J.H., He, G.Q.: Quantum Inf. Process. 13, 2437 (2014)

    Article  MathSciNet  Google Scholar 

  10. Situ, H.Z.: Int. J. Theor. Phys. 53, 1003 (2014)

    Article  Google Scholar 

  11. Liu, J., Mo, Z.W., Sun, S.Q.: Int. J. Theor. Phys. 55, 2182 (2016)

    Article  Google Scholar 

  12. Hao, J.C., Li, C.F., Guo, G.C.: Phys. Rev. A 63, 054301 (2001)

    Article  ADS  Google Scholar 

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

    Article  Google Scholar 

  14. Ye, L., Yu, Y.B.: Phys. Lett. A 346, 330 (2005)

    Article  ADS  Google Scholar 

  15. Kang, Y.H., Chen, Y.H., Shi, Z.C., Song, J., Xia, Y.: Phys. Rev. A 94, 052311 (2016)

    Article  ADS  Google Scholar 

  16. Chen, Y.H., Xia, Y., Chen, Q.Q., Song, J.: Laser Phys. Lett. 11, 115201 (2014)

    Article  ADS  Google Scholar 

  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. Kang, Y.H., Chen, Y.H., Shi, Z.C., Huang, B.H., Song, J., Xia, Y.: Phys. Rev. A 96, 022304 (2017)

    Article  ADS  Google Scholar 

  19. Huang, B.H., Chen, Y.H., Wu, Q.C., Song, J., Xia, Y.: Laser Phys. Lett. 13, 105202 (2016)

    Article  ADS  Google Scholar 

  20. Chen, Z., Chen, Y.H., Xia, Y., Song, J., Huang, B.H.: Sci. Rep. 6, 22202 (2016)

    Article  ADS  Google Scholar 

  21. Huang, B.H., Chen, Y.H., Wu, Q.C., Huang, B.H., Song, J., Xia, Y.: Sci. Rep. 6, 36737 (2016)

    Article  ADS  Google Scholar 

  22. Chen, Y.H., Xia, Y., Song, J., Chen, Q.Q.: Sci. Rep. 5, 15616 (2015)

    Article  ADS  Google Scholar 

  23. Liu, X.W.: Int. J. Theor. Phys. 54, 1253 (2015)

    Article  Google Scholar 

  24. Nie, Y.Y., Li, Y., Wang, X.P., Sang, M.H.: Quantum Inf. Process. 12, 1851 (2013)

    Article  ADS  Google Scholar 

  25. Carteret, H.A., Sudbery, A.: J. Phys. A 33, 4981 (2000)

    Article  ADS  MathSciNet  Google Scholar 

  26. Gao, T., Yan, F.L., Li, Y.C.: Eur. Phys. Lett. 84, 50001 (2008)

    Article  ADS  Google Scholar 

  27. Wang, C., Zeng, Z., Li, X.H.: Quantum Inf. Process. 14, 1077 (2015)

    Article  ADS  MathSciNet  Google Scholar 

  28. Xia, Y., Song, J., Song, H.S.: Opt. Commun. 279, 395 (2007)

    Article  ADS  Google Scholar 

  29. Xia, Y., Song, J., Lu, P.M., Song, H.S.: Int. J. Theor. Phys. 47, 3226 (2008)

    Article  Google Scholar 

  30. Dai, H.Y.: J. Opt. B 6, 106 (2004)

    Article  ADS  Google Scholar 

  31. Dai, H.Y., Chen, P.X., Li, C.Z.: Opt. Commun. 231, 281 (2004)

    Article  ADS  Google Scholar 

  32. Qi, B., Pan, H., Guo, L.: IEEE Trans. Autom. Control 58, 1349 (2013)

    Article  Google Scholar 

  33. Qi, B.: Automatica 49, 834 (2013)

    Article  Google Scholar 

  34. Dai, H.Y., Chen, P.X., Zhang, M., Li, C.Z.: Chin. Phys. B 17, 27 (2008)

    Article  ADS  Google Scholar 

  35. Cui, W., Xi, Z.R., Pan, Y.: Phys. Rev. A 77, 032117 (2008)

    Article  ADS  Google Scholar 

  36. Pan, Y., Xi, Z.R., Cui, W.: Phys. Rev. A 81, 022309 (2010)

    Article  ADS  Google Scholar 

  37. Zhang, M., Dai, H.Y., Zhu, X.C., Li, X.W., Hu, D.W.: Phys. Rev. A 73, 032101 (2006)

    Article  ADS  Google Scholar 

  38. Long, G.L., Liu, X.: J. Chem. Phys. 119, 8473 (2003)

    Article  ADS  Google Scholar 

  39. Zhang, M., Dai, H.Y., Xi, Z.R., Xie, H.W., Hu, D.W.: Phys. Rev. A 76, 042335 (2007)

    Article  ADS  Google Scholar 

  40. Wei, J.H., Dai, H.Y., Zhang, M., Yang, L., Kuang, J.S.: Int. J. Quant. Inf. 14, 1650003 (2016)

    Article  Google Scholar 

  41. Xia, Y., Lu, P.M., Song, J., Song, H.S.: Int. J. Theor. Phys. 49, 2045 (2010)

    Article  Google Scholar 

  42. Xia, Y., Song, J., Lu, P.M., Song, H.S.: J. Appl. Phys. 109, 103111 (2011)

    Article  ADS  Google Scholar 

  43. Liu, L.J., Cheng, S.M., Qi, B., Xi, Z.R., Dong, D.Y.: J. Phys. B 48, 035502 (2015)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  45. Dai, H.Y., Zhang, M., Zhang, Z.R., Xi, Z.R.: Commun. Theor. Phys. 60, 313 (2013)

    Article  ADS  Google Scholar 

  46. Luo, M.X., Chen, X.B., Yang, Y.X., Niu, X.X.: Quantum Inf. Process. 11, 751 (2012)

    Article  MathSciNet  Google Scholar 

  47. Wei, J.H., Dai, H.Y., Zhang, M.: Quantum Inf. Process. 13, 2115 (2014)

    Article  ADS  MathSciNet  Google Scholar 

  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)

    Article  Google Scholar 

  49. Bouwmeester, D., Pan, J.W., Mattle, K., Eibl, M., Weinfuter, H., Zeilinger, A.: Nature 390, 575 (1997)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  52. Barreiro, J.T., Wei, T.C., Kwiat, P.G.: Phys. Rev. Lett. 105, 030407 (2010)

    Article  ADS  Google Scholar 

  53. Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)

    MATH  Google Scholar 

  54. Gasparoni, S., Pan, J.W., Bouwmeester, D., Walther, P., Rudolph, T., Zeilinger, A.: Phys. Rev. Lett. 93, 020504 (2004)

    Article  ADS  Google Scholar 

  55. Pittman, T.B., Jacobs, B.C., Franson, J.D.: Phys. Rev. Lett. 88, 257902 (2002)

    Article  ADS  Google Scholar 

  56. Nemoto, K., Munro, W.J.: Phys. Rev. Lett. 93, 250502 (2004)

    Article  ADS  Google Scholar 

  57. Wang, H.F., Wen, J.J., Zhu, A.D., Zhang, S., Yeon, K.H.: Phys. Lett. A 377, 2870 (2013)

    Article  ADS  Google Scholar 

  58. Wang, H.F., Zhu, A.D., Zhang, S., Yeon, K.H.: Phys. Rev. A 87, 062337 (2013)

    Article  ADS  Google Scholar 

  59. Bai, C.H., Wang, D.Y., Hu, S., Cui, W.X., Jiang, X.X., Wang, H.F.: Quantum Inf. Process. 15, 1485 (2016)

    Article  ADS  MathSciNet  Google Scholar 

  60. Song, G.Z., Yang, G.J., Zhang, M.: Quantum Inf. Process. 16, 54 (2017)

    Article  ADS  Google Scholar 

Download references

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).

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Correspondence to Jiahua Wei or Lei Shi.

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Wei, J., Shi, L., Zhao, S. et al. Multi-parties Controlled Dense Coding via Maximal Slice States and the Physical Realization Using the Optical Elements. Int J Theor Phys 57, 1479–1485 (2018). https://doi.org/10.1007/s10773-018-3675-9

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  • DOI: https://doi.org/10.1007/s10773-018-3675-9

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