Skip to main content
SpringerLink
Log in

Controllable Quantum Network Coding Scheme Based on Quantum Walk

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

Abstract

Quantum entanglement is one of the key methods in quantum information processing, but it is difficult to prepare quantum entanglement. Quantum walk is widely used in quantum computation and quantum simulation, it can be applied to the preparation of quantum entangled states. In this paper, a controllable quantum network coding scheme based on quantum walk is proposed. With the help of quantum walk, the scheme preliminary realized the entanglement distribution of butterfly network, reduced entanglement resources and enhanced scalability. According to the existing technology, it is feasible to implement the quantum network coding scheme proposed in this paper.

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. Ahlswede, R., Cai, N., Li, S.Y.R., Yeung, R.W.: Network information flow. IEEE Trans. Inf. Theory. 46, 1204–1216 (2000)

    Article  MathSciNet  Google Scholar 

  2. Hayashi, M., Iwama, K., Nishimura, H., Raymond, R., Yamashita, S., Thomas, W., Weil, P.: Quantum network coding. Presented at the (2007)

  3. Hayashi, M.: Prior entanglement between senders enables perfect quantum network coding with modification. Phys. Rev. A. 76, (2007)

  4. Lu, H., Li, Z.D., Yin, X.F., Zhang, R., Fang, X.X., Li, L., Liu, N.L., Xu, F.H., Chen, Y.A., Pan, J.W.: Experimental quantum network coding. Npj Quantum Inf. 5, (2019)

  5. Kobayashi, H., Gall, F. Le, Nishimura, H., Roetteler, M.: General Scheme for Perfect Quantum Network Coding with Free Classical Communication (2009)

  6. Shang, T., Zhao, X.J., Liu, J.W.: Quantum network coding based on controlled teleportation. IEEE Commun. Lett. 18, 865–868 (2014)

    Article  ADS  Google Scholar 

  7. Li, J., Chen, X.B., Xu, G., Yang, Y.X., Li, Z.P.: Perfect quantum network coding independent of classical network solutions. IEEE Commun. Lett. 19, 115–118 (2015)

    Article  ADS  Google Scholar 

  8. Shang, T., Pei, Z., Zhao, X.J., Liu, J.W.: Quantum network coding against pollution attacks. IEEE Commun. Lett. 20, 1369–1372 (2016)

    Google Scholar 

  9. Shang, T., Li, J., Liu, J.W.: Secure quantum network coding for controlled repeater networks. Quantum Inf. Process. 15, 2937–2953 (2016)

    Article  ADS  MathSciNet  Google Scholar 

  10. Shang, T., Li, K., Liu, J.W.: Continuous-variable quantum network coding for coherent states. Quantum Inf. Process. 16, (2017)

  11. Liu, R., Shang, T., Liu, J.W.: Quantum network coding utilizing quantum discord resource fully. Quantum Inf. Process. 19, (2020)

  12. Aharonov, Y., Davidovich, L., Zagury, N.: Quantum random walks. Phys. Rev. A. 48, 1687–1690 (1993)

    Article  ADS  Google Scholar 

  13. Wang, Y., Shang, Y., Xue, P.: Generalized teleportation by quantum walks. Quantum Inf. Process. 16, (2017)

  14. Shang, Y., Wang, Y., Li, M., Lu, R.Q.: Quantum communication protocols by quantum walks with two coins. Epl. 124, (2018)

  15. Yang, Y.G., Yang, J.J., Zhou, Y.H., Shi, W.M., Chen, X.B., Li, J., Zuo, H.J.: Quantum network communication: a discrete-time quantum-walk approach. Sci. China-Information Sci. 61, (2018)

  16. Chen, X.B., Wang, Y.L., Xu, G., Yang, Y.X.: Quantum network communication with a novel discrete-time quantum walk. Ieee Access. 7, 13634–13642 (2019)

    Article  Google Scholar 

  17. Ambainis, A., Bach, E., Nayak, A., Vishwanath, A., Watrous, J.: One-dimensional quantum walks. Conf. Proc. Annu. ACM Symp. Theory Comput. 37–49 (2001)

  18. Nishimura, H.: Quantum Network Coding — how Can Network Coding Be Applied to Quantum Information? In: International Symposium on Network Coding (2013)

  19. Chatterjee, Y., Devrari, V., Behera, B.K., Panigrahi, P.K.: Experimental realization of quantum teleportation using coined quantum walks. Quantum Inf. Process. 19, (2020)

Download references

Acknowledgements

This work is supported by the Shanghai Science and Technology Project in 2020 under Grant No.20040501500.

Author information

Authors and Affiliations

  1. College of Information Engineering, Shanghai Maritime University, Shanghai, 201306, China

    Xiang Chen, Ri-Gui Zhou, Xin Li & Xiao-Xue Zhang

  2. Research Center of Intelligent Information Processing and Quantum Intelligent Computing, Shanghai, 201306, China

    Xiang Chen, Ri-Gui Zhou, Xin Li & Xiao-Xue Zhang

Authors
  1. Xiang Chen
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Ri-Gui Zhou
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Xin Li
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Xiao-Xue Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Ri-Gui Zhou.

Additional information

Publisher’s Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Chen, X., Zhou, RG., Li, X. et al. Controllable Quantum Network Coding Scheme Based on Quantum Walk. Int J Theor Phys 60, 3363–3374 (2021). https://doi.org/10.1007/s10773-021-04912-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-021-04912-y

Keywords

Search

Navigation