International Journal of Theoretical Physics

, Volume 57, Issue 5, pp 1376–1383 | Cite as

Controlled Dense Coding via Partially Entangled States and its Quantum Circuits

  • Jiahua Wei
  • Lei Shi
  • Shanghong Zhao
  • Xuchun Zhuang
  • Zhongxiang Han
  • Qiaoyan Kang
  • Yanhui Ni
  • Na Li
Article
  • 33 Downloads

Abstract

In this paper, an efficient scheme for controlled dense coding is presented via partially entangled states with the aid of auxiliary particles and appropriate local unitary operations. The detail implementation producers for our proposal are given, and the total average amount of classical information, which is depending on the superposition factors of quantum channel and measurement basis of the controller, is calculated. Moreover, it is demonstrated that this proposal can be realizable based on quantum circuits.

Keywords

Dense coding Partially entangled states The physical realization 

Notes

Acknowledgements

The authors thank L.H. Ma, Z.Y. Xu and 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.
    Dada, A., Leach, J., Buller, G., Padgett, M., Andersson, E.: Nat. Phys. 7, 677–680 (2011)CrossRefGoogle Scholar
  2. 2.
    Brünner, T., Roux, F.: New J. Phys. 15, 063005 (2013)ADSMathSciNetCrossRefGoogle Scholar
  3. 3.
    Wei, J.H., Qi, B., Dai, H.Y., Huang, J.H., Zhang, M.: IET Control Theory Appl. 9, 2500 (2015)MathSciNetCrossRefGoogle Scholar
  4. 4.
    Kang, Y.H., Chen, Y.H., Shi, Z.C., Song, J., Xia, Y.: Phys. Rev. A 94, 052311 (2016)ADSCrossRefGoogle Scholar
  5. 5.
    Huang, B.H., Kang, Y.H., Chen, Y.H., Wu, Q.C., Song, J., Xia, Y.: Phys. Rev. A 96, 022314 (2017)ADSCrossRefGoogle Scholar
  6. 6.
    Kang, Y.H., Chen, Y.H., Wu, Q.C., Huang, B.H., Song, J., Xia, Y.: Sci. Rep. 6, 36737 (2016)ADSCrossRefGoogle Scholar
  7. 7.
    Yang, Y.F., Chen, Y.H., Wu, Q.C., Kang, Y.H., Huang, B.H., Xia, Y.: Quantum Inf. Process. 16, 15 (2017)ADSCrossRefGoogle Scholar
  8. 8.
    Bennett, C.H., Brassard, G., Grepeau, C., Jozsa, R., Peres, A., Wootters, W.K.: Phys. Rev. Lett. 70, 1895 (1993)ADSMathSciNetCrossRefGoogle Scholar
  9. 9.
    Bouwmeester, D., Pan, J.W., Mattle, K., Eibl, M., Weinfuter, H., Zeilinger, A.: Nature 390, 575 (1997)ADSCrossRefGoogle Scholar
  10. 10.
    Dai, H.Y., Chen, P.X., Liang, L.M., Li, C.Z.: Phys. Lett. A 355, 285 (2006)ADSCrossRefGoogle Scholar
  11. 11.
    Xia, Y., Song, J., Song, H.S.: Opt. Commun. 279, 395 (2007)ADSCrossRefGoogle Scholar
  12. 12.
    Xia, Y., Song, J., Lu, P.M., Song, H.S.: J. Appl. Phys. 109, 103111 (2011)ADSCrossRefGoogle Scholar
  13. 13.
    Wei, J.H., Dai, H.Y., Zhang, M.: Commun. Theor. Phys. 60, 651 (2013)ADSCrossRefGoogle Scholar
  14. 14.
    Li, X.H., Ghose, S.: Phys. Rev. A 91, 012320 (2015)ADSMathSciNetCrossRefGoogle Scholar
  15. 15.
    Lo, H.K.: Phys. Rev. A 62, 012313 (2000)ADSCrossRefGoogle Scholar
  16. 16.
    Bennett, C.H., DiVincenzo, D.P., Shor, P.W., Smolin, J.A., Terhal, B.M., Wootters, W.K.: Phys. Rev. Lett. 87, 077902 (2001)ADSCrossRefGoogle Scholar
  17. 17.
    Dai, H.Y., Zhang, M., Zhang, Z.R., Xi, Z.R.: Commun. Theor. Phys. 60, 313 (2013)ADSCrossRefGoogle Scholar
  18. 18.
    Xia, Y., Song, J., Lu, P.M., Song, H.S.: Int. J. Theor. Phys. 47, 3226 (2008)CrossRefGoogle Scholar
  19. 19.
    Xia, Y., Lu, P.M., Song, J., Song, H.S.: Int. J. Theor. Phys. 49, 2045 (2010)CrossRefGoogle Scholar
  20. 20.
    Wei, J.H., Dai, H.Y., Zhang, M.: Quantum Inf. Process. 13, 2115 (2014)ADSMathSciNetCrossRefGoogle Scholar
  21. 21.
    Hwang, W.Y.: Phys. Rev. Lett. 91, 057901 (2003)ADSCrossRefGoogle Scholar
  22. 22.
    Bennett, C.H., Wootters, W.K.: Phys. Rev. Lett. 69, 2881 (1992)ADSMathSciNetCrossRefGoogle Scholar
  23. 23.
    Mattle, K., Weinfurter, H., Kwiat, P.G., Zeilinger, A.: Phys. Rev. Lett. 76, 4656 (1996)ADSCrossRefGoogle Scholar
  24. 24.
    Chen, Y.H., Xia, Y., Chen, Q.Q., Song, J.: Laser Phys. Lett. 11, 115201 (2014)ADSCrossRefGoogle Scholar
  25. 25.
    Kang, Y.H., Shi, Z.C., Chen, Y.H., Song, J., Xia, Y.: Ann. Phys.  https://doi.org/10.1002/andp.201700154 (2017)
  26. 26.
    Kang, Y.H., Chen, Y.H., Shi, Z.C., Huang, B.H., Song, J., Xia, Y.: Phys. Rev. A 96, 022304 (2017)ADSCrossRefGoogle Scholar
  27. 27.
    Chen, Z., Chen, Y.H., Xia, Y., Song, J., Huang, B.H.: Sci. Rep. 6, 22202 (2016)ADSCrossRefGoogle Scholar
  28. 28.
    Huang, B.H., Chen, Y.H., Wu, Q.C., Song, J., Xia, Y.: Laser Phys. Lett. 13, 105202 (2016)ADSCrossRefGoogle Scholar
  29. 29.
    Chen, Y.H., Xia, Y., Song, J., Chen, Q.Q.: Sci. Rep. 5, 15616 (2015)ADSCrossRefGoogle Scholar
  30. 30.
    Zhang, J.: Phys. Rev. A 66, 032318 (2002)ADSCrossRefGoogle Scholar
  31. 31.
    Jing, J.T.: Phys. Rev. Lett. 90, 167903 (2003)ADSCrossRefGoogle Scholar
  32. 32.
    Wang, X.W., Peng, Z.H., Jia, C.X., Wang, Y.H., Liu, X.J.: Opt. Commun. 282, 670 (2009)ADSCrossRefGoogle Scholar
  33. 33.
    Zheng, X.J., Xu, H., Fang, M.F., Zhu, K.C.: Chin. Phys. B 19, 010309 (2010)ADSCrossRefGoogle Scholar
  34. 34.
    Huang, Y.B., Li, S.S., Nie, Y.Y.: Int. J. Theor. Phys. 48, 95 (2009)CrossRefGoogle Scholar
  35. 35.
    Situ, H.Z., Qiu, D.W.: J. Phys. A 43, 055301 (2010)ADSMathSciNetCrossRefGoogle Scholar
  36. 36.
    Situ, H.Z.: Int. J. Theor. Phys. 52, 3779 (2013)CrossRefGoogle Scholar
  37. 37.
    Zhang, J.H., He, G.Q.: Quantum Inf. Process. 14, 2437 (2014)CrossRefGoogle Scholar
  38. 38.
    Situ, H.Z.: Int. J. Theor. Phys. 53, 1003 (2014)CrossRefGoogle Scholar
  39. 39.
    Hao, J.C., Li, C.F., Guo, G.C.: Phys. Rev. A 63, 054301 (2001)ADSCrossRefGoogle Scholar
  40. 40.
    Ye, L., Yu, Y.B.: Phys. Lett. A 346, 330 (2005)ADSCrossRefGoogle Scholar
  41. 41.
    Nie, Y.Y., Li, Y.H, Wang, X.P., Sang, M.H.: Quantum Inf. Process. 12, 1851 (2013)ADSCrossRefGoogle Scholar
  42. 42.
    Liu, J., Mo, Z.W., Sun, S.Q.: Int. J. Theor. Phys. 55, 2182 (2016)CrossRefGoogle Scholar
  43. 43.
    Jiang, M., Dong, D.Y.: Quantum Inf. Process. 12, 237 (2013)ADSMathSciNetCrossRefGoogle Scholar
  44. 44.
    Qi, B., Guo, L.: Sys. Control Lett. 59, 333 (2010)CrossRefGoogle Scholar
  45. 45.
    Dong, D.Y., Petersen, I.R.: IET Control Theory Appl. 4, 2651 (2010)MathSciNetCrossRefGoogle Scholar
  46. 46.
    Zhang, G.F., James, M.R.: IEEE Trans. Autom. Control 56, 1535 (2011)CrossRefGoogle Scholar
  47. 47.
    Wu, R.B., Rabitz, H.: J. Phys. A 45, 485303 (2012)MathSciNetCrossRefGoogle Scholar
  48. 48.
    Cong, S., Yang, F.: J. Phys. A 46, 075305 (2013)ADSMathSciNetCrossRefGoogle Scholar
  49. 49.
    Chen, C.L., Dong, D.Y., Long, R.X., Petersen, I.R., Rabitz, H.A.: Phys. Rev. A 89, 023402 (2014)ADSCrossRefGoogle Scholar
  50. 50.
    Liu, L.J., Cheng, S.M., Qi, B., Xi, Z.R.: J. Phys. B 48, 035502 (2015)ADSCrossRefGoogle Scholar
  51. 51.
    Coffman, V., Kundu, J., Wootters, W.K.: Phys. Rev. A 61, 052306 (2000)ADSCrossRefGoogle Scholar
  52. 52.
    Li, W.L., Li, C.F., Guo, G.C.: Phys. Rev. A 61, 034301 (2000)ADSCrossRefGoogle Scholar
  53. 53.
    Dai, H.Y., Chen, P.X., Li, C.Z.: Opt. Commun. 231, 281 (2004)ADSCrossRefGoogle Scholar
  54. 54.
    Li, J.F., Feng, J.M. Liu. X.L, Oh, C.H.: Quantum Inf. Process. 15, 1 (2016)MathSciNetCrossRefGoogle Scholar
  55. 55.
    Xia, Y., Song, J., Song, H.S.: Appl. Phys. Lett. 92, 021127 (2008)ADSCrossRefGoogle Scholar
  56. 56.
    Jiang, M., Dong, D.Y.: J. Phys. B 45, 205506 (2012)ADSCrossRefGoogle Scholar
  57. 57.
    Dai, H.Y., Chen, P.X., Zhang, M., Li, C.Z.: Chin. Phys. B 17, 27 (2008)ADSCrossRefGoogle Scholar
  58. 58.
    Luo, M.X., Chen, X.B., Yang, Y.X., Niu, X.X.: Quantum Inf. Process. 11, 751 (2012)MathSciNetCrossRefGoogle Scholar
  59. 59.
    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
  60. 60.
    Dai, H.Y., Chen, P.X., Li, C.Z.: J. Opt. B 6, 106 (2004)ADSCrossRefGoogle Scholar
  61. 61.
    Ye, S.Y., Zhong, Z.R., Zheng, S.B.: Phys. Rev. A 77, 014303 (2008)ADSCrossRefGoogle Scholar
  62. 62.
    Heo, J., Kang, M.S., Hong, C.H., Yang, H., Choi, S.G.: Quantum Inf. Process. 16, 24 (2017)ADSCrossRefGoogle Scholar
  63. 63.
    Vu, T.L., Ge, S.Z., Hang, C.C.: Phys. Rev. A 85, 012332 (2012)ADSCrossRefGoogle Scholar
  64. 64.
    Zhang, J., Wu, R.B., Li, C.W., Tarn, T.J.: IEEE Trans. Autom. Control 55, 619 (2010)CrossRefGoogle Scholar
  65. 65.
    Liu, Z., Kuang, L.L., Hu, K., Xu, L.T., Wei, S.H., Guo, L.Z., Li, X.Q.: Phys. Rev. A 82, 032335 (2010)ADSCrossRefGoogle Scholar
  66. 66.
    Peng, X., Zhu, X., Fang, X., Feng, M., Liu, M., Gao, K.: Phys. Lett. A 306, 271 (2003)ADSCrossRefGoogle Scholar
  67. 67.
    Xiang, G.Y., Li, J., Bo, Y., Guo, G.C.: Phys. Rev. A 72, 012315 (2005)ADSCrossRefGoogle Scholar
  68. 68.
    Barreiro, J.T., Wei, T.C., Kwiat, P.G.: Phys. Rev. Lett. 105, 030407 (2010)ADSCrossRefGoogle Scholar
  69. 69.
    Zheng, S.B., Guo, G.C.: Phys. Rev. A 63, 044302 (2001)ADSCrossRefGoogle Scholar
  70. 70.
    Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)MATHGoogle Scholar

Copyright information

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

Authors and Affiliations

  • Jiahua Wei
    • 1
    • 2
  • Lei Shi
    • 1
  • Shanghong Zhao
    • 1
  • Xuchun Zhuang
    • 1
  • Zhongxiang Han
    • 1
  • Qiaoyan Kang
    • 1
  • Yanhui Ni
    • 1
  • Na Li
    • 1
  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

Personalised recommendations