Skip to main content
SpringerLink
Log in

Controlled Remote Implementation of an Arbitrary Single-Qubit Operation with Partially Entangled Quantum Channel

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

Abstract

We present a scheme for controlled remote implementation of an arbitrary single-qubit operation by using partially entangled states as the quantum channel. The sender can remote implement an arbitrary single-qubit operation on the remote receiver’s quantum system via partially entangled states under the controller’s control. The success probability for controlled remote implementation of quantum operation can achieve 1 if the sender and the controller perform proper projective measurements on their entangled particles. Moreover, we also discuss the scheme for remote sharing the partially unknown operations via partially entangled quantum channel. It is shown that the quantum entanglement cost and classical communication can be reduced if the implemented operation belongs to the restrict sets.

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

Similar content being viewed by others

References

  1. Bennett, C.H., Brassad, G.: Proceedings IEEE international conference on computers, systems and signal processing bangalore, India. IEEE, New York p. 175 (1984)

  2. Ekert, A.K.: Phys. Rev. Lett. 67, 661 (1991)

    Article  ADS  MathSciNet  Google Scholar 

  3. Bennett, C.H., Brassard, G., Mermin, N.D.: Phys. Rev. Lett. 68, 557 (1992)

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

  5. Liu, X.S., Long, G.L., Tong, D.M., Li, F.: Phys. Rev. A 65, 022304 (2002)

    Article  ADS  Google Scholar 

  6. Barreiro, J.T., Wei, T.C., Kwiat, P.G.: Nat. Phys. 4, 282 (2008)

    Article  Google Scholar 

  7. Karlsson, A., Bourennane, M.: Phys. Rev. A 58, 4394 (1998)

    Article  ADS  MathSciNet  Google Scholar 

  8. Cleve, R., Gottesman, D., Lo, H.K.: Phys. Rev. Lett. 83, 648 (1999)

    Article  ADS  Google Scholar 

  9. Zhou, P., Li, X.H., Deng, F.G., Zhou, H.Y.: J. Phys. A 420, 13121 (2007)

    Article  ADS  Google Scholar 

  10. Long, G.L., Liu, X.S.: Phys. Rev. A 65, 032302 (2002)

    Article  ADS  Google Scholar 

  11. Deng, F.G., Long, G.L., Liu, X.S.: Phys. Rev. A 68, 042317 (2003)

    Article  ADS  Google Scholar 

  12. Deng, F.G., Long, G.L.: Phys. Rev. A 69, 052319 (2004)

    Article  ADS  Google Scholar 

  13. Hu, J.Y., Yu, B., Jing, M.Y., Xiao, L.T., Jia, S.T., Qin, G.Q., Long, G.L.: Light: Sci. Appl. 5, e16144 (2016)

    Article  Google Scholar 

  14. Zhang, W., Ding, D.S., Sheng, Y.B., Zhou, L., Shi, B.S., Guo, G.C.: arXiv:1609.09184 (2016)

  15. Bennett, C.H., Brassard, G., Popescu, S., Schumacher, B., Smolin, J.A., Wootters, K.W.: Phys. Rev. Lett. 76, 722 (1996)

    Article  ADS  Google Scholar 

  16. Sheng, Y.B., Deng, F.G.: Phys. Rev. A 81, 032307 (2010)

    Article  ADS  Google Scholar 

  17. Sheng, Y.B., Deng, F.G.: Phys. Rev. A 82, 044305 (2010)

    Article  ADS  Google Scholar 

  18. Wang, T.J., Song, S.Y., Long, G.L.: Phys. Rev. A 85, 062311 (2012)

    Article  ADS  Google Scholar 

  19. Ren, B.C., Du, F.F., Deng, F.G.: Phys. Rev. A 90, 052309 (2014)

    Article  ADS  Google Scholar 

  20. Sheng, Y.B., Zhou, L.: Sci. Rep. 5, 13453 (2015)

    Article  ADS  Google Scholar 

  21. Li, X.H., Ghose, S.: Phys. Rev. A 91, 062302 (2015)

    Article  ADS  Google Scholar 

  22. Wang, T.J., Liu, L.L., Zhang, R., Cao, C., Wang, C.: Opt. Express 23, 9284 (2015)

    Article  ADS  Google Scholar 

  23. Zhou, L., Sheng, Y.B.: Phys. Rev. A 92, 042314 (2015)

    Article  ADS  Google Scholar 

  24. Li, T., Yang, G.J., Deng, F.G.: Phys. Rev. A 93, 012302 (2016)

    Article  ADS  Google Scholar 

  25. Wang, G.Y., Liu, Q., Deng, F.G.: Phys. Rev. A 94, 032319 (2016)

    Article  ADS  Google Scholar 

  26. Zhou, L., Sheng, Y.B.: Sci. Rep. 6, 20901 (2016)

    Article  ADS  Google Scholar 

  27. Shor, P.W.: Proceedings of the 35th Annual IEEE Symposium on Foundations of Computer Science p. 124 (1994)

  28. Long. G. L., Xiao, L.: Phys. Rev. A 69, 052303 (2004)

    Article  ADS  MathSciNet  Google Scholar 

  29. Feng, G.R., Xu, G.F., Long, G.L.: Phys. Rev. Lett. 110, 190501 (2013)

    Article  ADS  Google Scholar 

  30. Ren, B.C., Deng, F.G.: Sci. Rep. 4, 4623 (2014)

    ADS  Google Scholar 

  31. Ren, B.C., Wang, G.Y., Deng, F.G.: Phys. Rev. A 91, 032328 (2015)

    Article  ADS  Google Scholar 

  32. Li, T., Long, G.L.: Phys. Rev. A 94, 022343 (2016)

    Article  ADS  Google Scholar 

  33. Pati, A.K.: Phys. Rev. A 63, 014302 (2000)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  35. 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 

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

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  Google Scholar 

  38. Huelga, S.F., Vaccaro, J.A., Chefles, A.: Phys. Rev. A 63, 042303 (2001)

    Article  ADS  Google Scholar 

  39. Huelga, S.F., Plenio, M.B., Vaccaro, J.A.: Phys. Rev. A 65, 042316 (2002)

    Article  ADS  Google Scholar 

  40. Zhang, Y.S., Ye, M.Y., Guo, G.C.: Phys. Rev. A 71, 062331 (2005)

    Article  ADS  Google Scholar 

  41. Wang, A.M.: Phys. Rev. A 74, 032317 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  42. Hu, S., Cui, W.X., Wang, D.Y., Bai, C.H., Guo, Q., Wang, H.F., Zhu, A.D., Zhang, S.: Sci. Rep. 5, 11321 (2015)

    Article  ADS  Google Scholar 

  43. Xiang, G.Y., Li, J., Guo, G.C.: Phys. Rev. A 71, 044304 (2005)

    Article  ADS  Google Scholar 

  44. Wang, A.M.: Phys. Rev. A 75, 062323 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  45. Fan, Q.B., Liu, D.D.: Sci. China Ser. G-Phys. Mech. Astron. 51, 1661 (2008)

    Article  ADS  Google Scholar 

  46. Chen, L.B., Liu, Y.H., Lu, H.: Mod. Phys. Lett. B 24, 431 (2010)

    Article  ADS  Google Scholar 

  47. Chen, L.B., Jin, R.B., Peng, T., Lu, H.: Int. J. Mod. Phys. B 25, 2853 (2011)

    Article  ADS  Google Scholar 

  48. Zhan, Y.B., Li, X.W., Ma, P.C., Shi, J.: Chin. Phys. B 22, 040306 (2013)

    Article  ADS  Google Scholar 

  49. He, Y.H., Lu, Q.C., Liao, Y.M., Qin, X.C., Qin, J.S., Zhou, P.: Int. J. Thero. Phys. 54, 1726 (2015)

    Article  Google Scholar 

  50. Wang, S.F., Liu, Y.M., Chen, J.L., Liu, X.S., Zhang, Z.J.: Quantum Inf. Process. 12, 2497 (2013)

    Article  ADS  MathSciNet  Google Scholar 

  51. Ji, Q.B., Liu, Y.M., Xie, C.M., Yin, X.F.: Quantum Inf. Process. 13, 1659 (2014)

    Article  ADS  Google Scholar 

  52. Xie, C.M., Liu, Y.M., Xing, H., Zhang, Z.J.: Entropy 17, 841 (2015)

    Article  ADS  Google Scholar 

  53. Peng, J.: Quantum Inf. Process. 14, 4255 (2015)

    Article  ADS  MathSciNet  Google Scholar 

  54. Duan, Y.J., Zha, X.W.: Int. J. Thero. Phys. 54, 877 (2015)

    Article  Google Scholar 

  55. Peng, J.: Quantum Inf. Process. 15, 2465 (2016)

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  Google Scholar 

  58. An, N.B., Bich, C.T.: Phys. Lett. A 378, 3582 (2014)

    Article  ADS  Google Scholar 

  59. Li, X.H., Ghose, S.: Phys. Rev. A 90, 052305 (2014)

    Article  ADS  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

  61. Chen, N., Quan, D.X., Yang, H., Pei, C.X.: Quantum Inf. Process. 15, 1719 (2016)

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  Google Scholar 

  63. Zhang, C., Li, M., Yin, Z., Li, H., Chen, W., Han, Z.: Sci. China-Phys. Mech. Astron. 58, 590301 (2015)

    Article  Google Scholar 

  64. Zheng, C., Long, G.F.: Sci. China-Phys. Mech. Astron. 57, 1238 (2014)

    Article  ADS  Google Scholar 

  65. Cao, D.Y., Liu, B.H., Wang, Z., Huang, Y.F., Li, C.F., Guo, G.C.: Sci. Bull. 60, 1128 (2015)

    Article  Google Scholar 

  66. Wang, C., Shen, W.W., Mi, S.C., Zhang, Y., Wang, T.J.: Sci. Bull. 60, 2016 (2015)

    Article  Google Scholar 

  67. Yan, L., Shao, Q.: Int. J. Theor. Phys. 55, 1973 (2016)

    Article  Google Scholar 

  68. Deng, F.G., Li, X.H., Li, C.Y., Zhou, P., Zhou, H.Y.: Phys. Rev. A 72, 044301 (2005)

    Article  ADS  Google Scholar 

  69. Liu, D.C., Liu, Y.M., Yin, X.F., Liu, X.S., Zhang, Z.J.: Int. J. Quantum Inform. 11, 1350011 (2013)

    Article  ADS  Google Scholar 

Download references

Acknowledgments

This work was supported by the National Natural Science Foundation of China under Grant Nos. 11564004 and 61501129, Natural Science Foundation of Guangxi under Grant No. 2014GXNSFAA118008, Zhejiang Provincial Natural Science Foundation of China under Grant No. LQ16A050001, Special Funds of Guangxi Distinguished Experts Construction Engineering and Xiangsihu Young Scholars and Innovative Research Team of GXUN (Min-Da 2015-13-02).

Author information

Authors and Affiliations

  1. College of Science, Guangxi University for Nationalities, Nanning, 530006, People’s Republic of China

    Jun-You Lin, Jun-Gang He, Yan-Chun Gao & Ping Zhou

  2. Key Lab of Quantum Information and Quantum Optics, Guangxi University for Nationalities, Nanning, 530006, People’s Republic of China

    Jun-You Lin, Jun-Gang He, Yan-Chun Gao & Ping Zhou

  3. Physical Experiment Center, Zhejiang Ocean University, Zhoushan, 316002, People’s Republic of China

    Xue-Mei Li

  4. Guangxi Key Laboratory of Hybrid Computational and IC Design Analysi, Guangxi University for Nationalities, Nanning, 530006, People’s Republic of China

    Ping Zhou

Authors
  1. Jun-You Lin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Jun-Gang He
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Yan-Chun Gao
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Xue-Mei Li
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Ping Zhou
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Ping Zhou.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Lin, JY., He, JG., Gao, YC. et al. Controlled Remote Implementation of an Arbitrary Single-Qubit Operation with Partially Entangled Quantum Channel. Int J Theor Phys 56, 1085–1095 (2017). https://doi.org/10.1007/s10773-016-3250-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-016-3250-1

Keywords

Search

Navigation