Skip to main content
Log in

Bidirectional Controlled Quantum Teleportation via Two Pairs of Bell States

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

Abstract

We propose a bidirectional controlled teleportation scheme using two pairs of Bell states as quantum channels. This solution uses Charlie as the controlled party. After two Bell state measurements, while Alice sends any single particle state to Bob, Bob can also send any single particle state to Alice, thus successfully completing the bidirectional controlled teleportation. Our plan is also compared with several other protocols from five aspects to illustrate that the plan has certain advantages. This makes our scheme relatively simpler and easier to implement and more maneuverable.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Shor, P.W.: Algorithms for quantum computation: Discrete logarithms and factoring. In: Proc. 35th Annual Symposium on Foundations of Computer Science, pp 124–134 (1994)

  2. Feynman, R.P.: Simulating physics with quantum computers. Int. J. Theor. Phys. 21(6), 467–488 (1982)

    Article  Google Scholar 

  3. Sun, H., Liu, S., Lin, W., et al.: Smart responsive phosphorescent materials for data recording and security protection. Nat. Commun. 5(1), 1–9 (2014)

    ADS  Google Scholar 

  4. Li, H.S., Fan, P., Xia, H.Y., et al.: Quantum implementation circuits of quantum signal representation and type conversion. IEEE Trans. Circuits Syst. I: Reg. Papers 66(1), 341–354 (2019)

    Article  Google Scholar 

  5. Li, H.S., Fan, P., Xia, H., et al.: Efficient quantum arithmetic operation circuits for quantum image processing. Sci. China-Phys. Mech. Astron. 63 (8), 280311 (2020)

    Article  ADS  Google Scholar 

  6. Fan, P., Zhou, R.G., Jing, N., et al.: Geometric transformations of multidimensional color images based on NASS. Inform. Sci. 340, 191–208 (2016)

    Article  Google Scholar 

  7. Luo, G., Zhou, R.G., Liu, X., et al.: Fuzzy matching based on gray-scale difference for quantum images. Int. J. Theor. Phys. 57(8), 2447–2460 (2018)

    Article  MathSciNet  Google Scholar 

  8. Arute, F., et al.: Quantum supremacy using a programmable superconducting processor. Nature 574(7779), 505–510 (2019)

    Article  ADS  Google Scholar 

  9. Chen, Z.Y., Zhou, Q., Xue, C., et al.: 64-qubit quantum circuit simulation. Sci. Bull. 63(15), 964–971 (2018)

    Article  Google Scholar 

  10. Bennett, C.H., Brassard, G.: Quantum cryptography: Public key distribution and coin tossing. arXiv:2003.06557

  11. Beaudry, N.J., Lucamarini, M., Mancini, S., Renner, R.: Security of two-way quantum key distribution. Phy. Rev. A 88(6), 8617–8626 (2013)

    Article  Google Scholar 

  12. Ekert, A.K.: Quantum cryptography based on bell’s theorem. Phy. Rev. Lett. 67(6), 661–63 (1991)

    Article  ADS  MathSciNet  Google Scholar 

  13. Goldenberg, L., Vaidman, L.: Quantum Cryptography Based on Orthogonal States. Phy. Rev. Lett. 75.7, 1239–1243 (1995)

    Article  MathSciNet  Google Scholar 

  14. Long, G.L., Liu, X.S.: Theoretically efficient high-capacity quantum-key-distribution scheme. Phy. Rev. A 65(3), 032302 (2002)

    Article  ADS  Google Scholar 

  15. Deng, F.G., Long, G.L., Liu, X.S.: Two-step quantum direct communication protocol using the Einstein-Podolsky-Rosen pair block. Phy. Rev. A 68 (4), 113–114 (2003)

    Google Scholar 

  16. Deng, F., Long, G.L.: Secure direct communication with a quantum one-time pad. Phys. Rev. A 69, 052319 (2004)

    Article  ADS  Google Scholar 

  17. Wang, C., Deng, F.G., Long, G.L.: Multi-step quantum secure direct communication using multi-particle Green-Horne-Zeilinger state. Opt. Comm. 253, 15–20 (2005)

    Article  ADS  Google Scholar 

  18. Hsu, L.Y.: Quantum secret-sharing protocol based on Grover’s algorithm. Phy. Rev. A 68, 022306 (2003)

    Article  ADS  Google Scholar 

  19. Zeng, G.H., Keitel, C.H.: Arbitrated quantum-signature scheme. Phy. Rev. A 65, 042312 (2002)

    Article  ADS  Google Scholar 

  20. Kao, S.H., Hwang, T.: Controlled quantum dialogue robust against conspiring users. Quantum Inf. Process. 15(10), 4313–4324 (2016)

    Article  ADS  MathSciNet  Google Scholar 

  21. Hassanpour, S., Houshmand, M.: Efficient controlled quantum secure direct communication based on ghz-like states. Quantum Inf. Process. 14(2), 739–753 (2015)

    Article  ADS  MathSciNet  Google Scholar 

  22. Zha, X.W., Zou, Z.C., Qi, J.X.: Bidirectional quantum controlled teleportation via Five-Qubit cluster state. Int. J. Theor. Phys. 52(6), 1740–1744 (2013)

    Article  MathSciNet  Google Scholar 

  23. Yan, A.: Bidirectional Controlled Teleportation via Six-Qubit Cluster State. Int. J. Theor. Phys. 52(11), 3870–3873 (2013)

    Article  MathSciNet  Google Scholar 

  24. Choudhury, B.S., Dhara, A.: A bidirectional teleportation protocol for arbitrary two-qubit state under the supervision of a third party. Int. J. Theor. Phys. 55(4), 2275–2285 (2016)

    Article  Google Scholar 

  25. Sang, M.: Bidirectional quantum teleportation by using five-qubit cluster state. Int. J. Theor. Phys. 55(3), 1333–1335 (2016)

    Article  MathSciNet  Google Scholar 

  26. Zadeh, M.S.S., Houshmand, M., Aghababa, H.: Bidirectional teleportation of a two-qubit state by using eight-qubit entangled state as a quantum channel. Int. J. Theor. Phys. 56(7), 2101–2112 (2017)

    Article  MathSciNet  Google Scholar 

  27. Zhou, R.G., Xu, R., Ian, H.: Bidirectional quantum teleportation by using six-qubit cluster state. IEEE Access 7, 44269–44275 (2019)

    Article  Google Scholar 

  28. Verma, V.: Bidirectional quantum teleportation by using two GHZ-states as the quantum channel. IEEE Commun. Lett. 1–1. https://doi.org/10.1109/lcomm.2020.3036587 (2020)

Download references

Acknowledgements

This work is supported by the Science and Technology Project of Guangxi under grant no. 2020GXNSFDA238023, and Science and technology research project of Jiangxi Provincial Education Department under Grant No. GJJ190297.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hai-Sheng Li.

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

Wang, M., Li, HS. Bidirectional Controlled Quantum Teleportation via Two Pairs of Bell States. Int J Theor Phys 60, 2662–2667 (2021). https://doi.org/10.1007/s10773-021-04857-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-021-04857-2

Keywords

Navigation