Skip to main content
SpringerLink
Log in

Controlled Dense Coding via Partially Entangled States and its Quantum Circuits

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4

Similar content being viewed by others

References

  1. Dada, A., Leach, J., Buller, G., Padgett, M., Andersson, E.: Nat. Phys. 7, 677–680 (2011)

    Article  Google Scholar 

  2. Brünner, T., Roux, F.: New J. Phys. 15, 063005 (2013)

    Article  ADS  MathSciNet  Google Scholar 

  3. Wei, J.H., Qi, B., Dai, H.Y., Huang, J.H., Zhang, M.: IET Control Theory Appl. 9, 2500 (2015)

    Article  MathSciNet  Google Scholar 

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

    Article  ADS  Google Scholar 

  5. Huang, B.H., Kang, Y.H., Chen, Y.H., Wu, Q.C., Song, J., Xia, Y.: Phys. Rev. A 96, 022314 (2017)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  7. Yang, Y.F., Chen, Y.H., Wu, Q.C., Kang, Y.H., Huang, B.H., Xia, Y.: Quantum Inf. Process. 16, 15 (2017)

    Article  ADS  Google Scholar 

  8. Bennett, C.H., Brassard, G., Grepeau, C., Jozsa, R., Peres, A., Wootters, W.K.: Phys. Rev. Lett. 70, 1895 (1993)

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  13. Wei, J.H., Dai, H.Y., Zhang, M.: Commun. Theor. Phys. 60, 651 (2013)

    Article  ADS  Google Scholar 

  14. Li, X.H., Ghose, S.: Phys. Rev. A 91, 012320 (2015)

    Article  ADS  MathSciNet  Google Scholar 

  15. Lo, H.K.: Phys. Rev. A 62, 012313 (2000)

    Article  ADS  Google Scholar 

  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)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  Google Scholar 

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

    Article  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

  21. Hwang, W.Y.: Phys. Rev. Lett. 91, 057901 (2003)

    Article  ADS  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  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. 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 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  30. Zhang, J.: Phys. Rev. A 66, 032318 (2002)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  Google Scholar 

  37. Zhang, J.H., He, G.Q.: Quantum Inf. Process. 14, 2437 (2014)

    Article  Google Scholar 

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

    Article  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  Google Scholar 

  43. Jiang, M., Dong, D.Y.: Quantum Inf. Process. 12, 237 (2013)

    Article  ADS  MathSciNet  Google Scholar 

  44. Qi, B., Guo, L.: Sys. Control Lett. 59, 333 (2010)

    Article  Google Scholar 

  45. Dong, D.Y., Petersen, I.R.: IET Control Theory Appl. 4, 2651 (2010)

    Article  MathSciNet  Google Scholar 

  46. Zhang, G.F., James, M.R.: IEEE Trans. Autom. Control 56, 1535 (2011)

    Article  Google Scholar 

  47. Wu, R.B., Rabitz, H.: J. Phys. A 45, 485303 (2012)

    Article  MathSciNet  Google Scholar 

  48. Cong, S., Yang, F.: J. Phys. A 46, 075305 (2013)

    Article  ADS  MathSciNet  Google Scholar 

  49. Chen, C.L., Dong, D.Y., Long, R.X., Petersen, I.R., Rabitz, H.A.: Phys. Rev. A 89, 023402 (2014)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  51. Coffman, V., Kundu, J., Wootters, W.K.: Phys. Rev. A 61, 052306 (2000)

    Article  ADS  Google Scholar 

  52. Li, W.L., Li, C.F., Guo, G.C.: Phys. Rev. A 61, 034301 (2000)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  54. Li, J.F., Feng, J.M. Liu. X.L, Oh, C.H.: Quantum Inf. Process. 15, 1 (2016)

    Article  MathSciNet  Google Scholar 

  55. Xia, Y., Song, J., Song, H.S.: Appl. Phys. Lett. 92, 021127 (2008)

    Article  ADS  Google Scholar 

  56. Jiang, M., Dong, D.Y.: J. Phys. B 45, 205506 (2012)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  Google Scholar 

  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)

    Article  Google Scholar 

  60. Dai, H.Y., Chen, P.X., Li, C.Z.: J. Opt. B 6, 106 (2004)

    Article  ADS  Google Scholar 

  61. Ye, S.Y., Zhong, Z.R., Zheng, S.B.: Phys. Rev. A 77, 014303 (2008)

    Article  ADS  Google Scholar 

  62. Heo, J., Kang, M.S., Hong, C.H., Yang, H., Choi, S.G.: Quantum Inf. Process. 16, 24 (2017)

    Article  ADS  Google Scholar 

  63. Vu, T.L., Ge, S.Z., Hang, C.C.: Phys. Rev. A 85, 012332 (2012)

    Article  ADS  Google Scholar 

  64. Zhang, J., Wu, R.B., Li, C.W., Tarn, T.J.: IEEE Trans. Autom. Control 55, 619 (2010)

    Article  Google Scholar 

  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)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  69. Zheng, S.B., Guo, G.C.: Phys. Rev. A 63, 044302 (2001)

    Article  ADS  Google Scholar 

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

    MATH  Google Scholar 

Download references

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).

Author information

Authors and Affiliations

  1. Information and Navigation College, Air Force Engineering University, Xi’an, Shanxi, 710076, People’s Republic of China

    Jiahua Wei, Lei Shi, Shanghong Zhao, Xuchun Zhuang, Zhongxiang Han, Qiaoyan Kang, Yanhui Ni & Na Li

  2. Department of Automatic Control, College of Mechatronics and Automation, National University of Defense Technology, Changsha, Hunan, 410073, People’s Republic of China

    Jiahua Wei

Authors
  1. Jiahua Wei
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Lei Shi
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Shanghong Zhao
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Xuchun Zhuang
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Zhongxiang Han
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. Qiaoyan Kang
    View author publications

    You can also search for this author in PubMed Google Scholar

  7. Yanhui Ni
    View author publications

    You can also search for this author in PubMed Google Scholar

  8. Na Li
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Jiahua Wei.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Wei, J., Shi, L., Zhao, S. et al. Controlled Dense Coding via Partially Entangled States and its Quantum Circuits. Int J Theor Phys 57, 1376–1383 (2018). https://doi.org/10.1007/s10773-018-3665-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-018-3665-y

Keywords

Search

Navigation