Skip to main content
SpringerLink
Log in

Multi-hop Remote Single Qubit State Preparation Based on Arbitrary Bell States

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

Abstract

Remote quantum state preparation is of great significance in quantum communication networks and long distance quantum information transmission. In this paper, a multi-hop remote single-qubit state preparation scheme is proposed for quantum networks. In each hop, Bell states are used as quantum channels and a quantum state is transmitted to a destination node through intermediate nodes. By analyzing one-hop and two-hop remote state preparation, we extend the scheme to n-hop remote state preparation, where logical algebra expressions are introduced to present final results. Our scheme achieves the total success probability of “1” and is independent of the types of Bell states and the number of intermediate nodes.

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
Fig. 5

Similar content being viewed by others

References

  1. Lv, S.X., Jiao, X.F., Zhou, P.: Multiparty quantum computation for summation and multiplication with mutually unbiased bases. Int. J. Theor. Phys. 58(9), 2872–2882 (2019)

    Article  MathSciNet  Google Scholar 

  2. Zhao, X.Q., Zhou, N.R., Chen, H.Y., Gong, L.H.: Multiparty quantum key agreement protocol with entanglement swapping. Int. J. Theor. Phys. 58(2), 436–450 (2019)

    Article  Google Scholar 

  3. Liu, B., Xia, S., Xiao, D., Huang, W., Xu, B.J., Li, Y.: Decoy-state method for quantum-key-distribution-based quantum private query. Sci. China Phys. Mech. Astron. 65(4), 1–8 (2022)

    Article  Google Scholar 

  4. Zhou, L., Sheng, Y.B.: One-step device-independent quantum secure direct communication. Sci. China Phys. Mech. Astron. 65(5), 1–12 (2022)

    Article  MathSciNet  Google Scholar 

  5. Bennett, C.H., Brassard, G., Crépeau, C., Jozsa, R., Peres, A., Wootters, W.K.: Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels. Phys. Rev. Lett. 70, 1895–1899 (1993)

    Article  ADS  MathSciNet  Google Scholar 

  6. Lo, H.K.: Classical-communication cost in distributed quantum-information processing: a generalization of quantum-communication complexity. Phys. Rev. A 62, 012313 (2000)

    Article  ADS  Google Scholar 

  7. Li, S.S., Nie, Y.Y., Hong, Z.H., Yi, X.J., Huang, Y.B.: Controlled teleportation using four-particle cluster state. Commun. Theor. Phys. 50(3), 633–636 (2008)

    Article  ADS  MathSciNet  Google Scholar 

  8. Nie, Y.Y., Hong, Z.H., Huang, Y.B., Yi, X.J., Li, S.S.: Non-maximally entangled controlled teleportation using four particles cluster states. Int. J. Theor. Phys. 48(5), 1485–1490 (2009)

    Article  MathSciNet  Google Scholar 

  9. Tan, X.Q., Zhang, X.Q., Fang, J.B.: Perfect quantum teleportation by four-particle cluster state. Inf. Process. Lett. 116(5), 347–350 (2016)

    Article  MathSciNet  Google Scholar 

  10. Shi, B.S., Tomita, A.: Teleportation of an unknown state by W state. Phys. Lett. A 296(4), 161–164 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  11. Li, W.L., Li, C.F., Guo, G.C.: Probabilistic teleportation and entanglement matching. Phys. Rev. A 61, 034301 (2000)

    Article  ADS  Google Scholar 

  12. Yu, X.T., Xu, J., Zhang, Z.C.: Distributed wireless quantum communication networks. Chin. Phys. B 22(9), 090311 (2013)

    Article  ADS  Google Scholar 

  13. Wang, K., Yu, X.T., Lu, S.L., Gong, Y.X.: Quantum wireless multihop communication based on arbitrary Bell pairs and teleportation. Phys. Rev. A 89, 022329 (2014)

    Article  ADS  Google Scholar 

  14. Zhou, X.Z., Yu, X.T., Zhang, Z.C.: Multi-hop teleportation of an unknown qubit state based on W states. Int. J. Theor. Phys. 57(4), 981–993 (2018)

    Article  MathSciNet  Google Scholar 

  15. Yu, X.T., Zhang, Z.C., Xu, J.: Distributed wireless quantum communication networks with partially entangled pairs. Chin. Phys. B 23(1), 010303 (2014)

    Article  ADS  Google Scholar 

  16. Xiong, P.Y., Yu, X.T., Zhan, H.T., Zhang, Z.C.: Multiple teleportation via partially entangled GHZ state. Front. Phys. 11(4), 1–8 (2016)

    Article  Google Scholar 

  17. Wang, J.W., Huang, L.P., Shu, L.: Deterministic multi-hop teleportation of arbitrary single qubit state via partially entangled GHZ-type state. Int. J. Theor. Phys. 60(6), 2206–2215 (2021)

    Article  MathSciNet  Google Scholar 

  18. Zou, Z.Z., Yu, X.T., Gong, Y.X., Zhang, Z.C.: Multihop teleportation of two-qubit state via the composite GHZ-Bell channel. Phys. Lett. A 381(2), 76–81 (2017)

    Article  ADS  Google Scholar 

  19. Wang, K., Yu, X.T., Zhang, Z.C.: Two-qubit entangled state teleportation via optimal POVM and partially entangled GHZ state. Front. Phys. 13(5), 1–8 (2018)

    Article  ADS  Google Scholar 

  20. Zhan, H.T., Yu, X.T., Xiong, P.Y., Zhang, Z.C.: Multi-hop teleportation based on W state and EPR pairs. Chin. Phys. B 25(5), 050305 (2016)

    Article  Google Scholar 

  21. Bennett, C.H., DiVincenzo, D.P., Shor, P.W., Smolin, J.A., Terhal, B.M., Wootters, W.K.: Remote state preparation. Phys. Rev. Lett. 87, 077902 (2001)

    Article  ADS  Google Scholar 

  22. Wei, J.H., Shi, L., Ma, L.H., Xue, Y., Zhuang, X.C., Kang, Q.Y., Li, X.S.: Remote preparation of an arbitrary multi-qubit state via two-qubit entangled states. Quantum Inf. Process. 16(10), 1–12 (2017)

    Article  ADS  MathSciNet  Google Scholar 

  23. Xue, Y., Shi, L., Da, X.Y., Zhou, K.H., Ma, L.H., Wei, J.H., Yu, L.Q., Hu, H.: Remote preparation of four-qubit states via two-qubit maximally entangled states. Quantum Inf. Process. 18(4), 1–16 (2019)

    Article  Google Scholar 

  24. Zhang, P., Ma, S.Y., Gong, L.: Deterministic remote preparation via the \(\chi\) state in noisy environment. Int. J. Theor. Phys. 58(9), 2795–2809 (2019)

    Article  MathSciNet  Google Scholar 

  25. Zha, Y.B., Zhang, Z.H., Huang, Y.L., Yang, J.Y.: Controlled remote state preparation via general pure three-qubit state. Information 6(3), 375–387 (2015)

    Article  Google Scholar 

  26. Wang, C., Zeng, Z., Li, X.H.: Controlled remote state preparation via partially entangled quantum channel. Quantum Inf. Process. 14(3), 1077–1089 (2015)

    Article  ADS  MathSciNet  Google Scholar 

  27. Chen, W.L., Ma, S.Y., Qu, Z.G.: Controlled remote preparation of an arbitrary four-qubit cluster-type state. Chin. Phys. B 25(10), 100304 (2016)

    Article  ADS  Google Scholar 

  28. Chen, N., Quan, D.X., Yang, H., Pei, C.X.: Deterministic controlled remote state preparation using partially entangled quantum channel. Quantum Inf. Process. 15(4), 1719–1729 (2016)

    Article  ADS  MathSciNet  Google Scholar 

  29. Peng, J.Y., Bai, M.Q., Mo, Z.W.: Bidirectional controlled joint remote state preparation. Quantum Inf. Process. 14(11), 4263–4278 (2015)

    Article  ADS  MathSciNet  Google Scholar 

  30. An, N.B., Bich, C.T.: Perfect controlled joint remote state preparation independent of entanglement degree of the quantum channel. Phys. Lett. A 378(48), 3582–3585 (2014)

    Article  ADS  Google Scholar 

  31. Chen, N., Quan, D.X., Zhu, C.H., Li, J.Z., Pei, C.X.: Deterministic joint remote state preparation via partially entangled quantum channel. Int. J. Quantum Inf. 14(03), 1650015 (2016)

    Article  Google Scholar 

  32. Pati, A.K.: Minimum classical bit for remote preparation and measurement of a qubit. Phys. Rev. A 63, 014302 (2000)

    Article  ADS  Google Scholar 

  33. Peng, J.Y., Bai, M.Q., Mo, Z.W.: Deterministic multi-hop controlled teleportation of arbitrary single-qubit state. Int. J. Theor. Phys. 56(10), 3348–3358 (2017)

    Article  MathSciNet  Google Scholar 

Download references

Acknowledgements

This work was supported by the National Natural Science Foundation of China under Grant 61873251.

Author information

Author notes

    Authors and Affiliations

    1. Department of Automation, University of Science and Technology of China, 230027, Hefei, China

      Jun-Hao Lan & Sen Kuang

    2. Department of Mechanical Engineering, The University of Hong Kong, 999077, Hong Kong, China

      Xiu-Juan Lu

    Authors
    1. Jun-Hao Lan
      View author publications

      You can also search for this author in PubMed Google Scholar

    2. Xiu-Juan Lu
      View author publications

      You can also search for this author in PubMed Google Scholar

    3. Sen Kuang
      View author publications

      You can also search for this author in PubMed Google Scholar

    Corresponding author

    Correspondence to Sen Kuang.

    Additional information

    Publisher’s Note

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

    Jun-Hao Lan and Xiu-Juan Lu contributed equally to this work.

    Rights and permissions

    Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

    Reprints and permissions

    About this article

    Check for updates. Verify currency and authenticity via CrossMark

    Cite this article

    Lan, JH., Lu, XJ. & Kuang, S. Multi-hop Remote Single Qubit State Preparation Based on Arbitrary Bell States. Int J Theor Phys 61, 240 (2022). https://doi.org/10.1007/s10773-022-05200-z

    Download citation

    • Received:

    • Accepted:

    • Published:

    • DOI: https://doi.org/10.1007/s10773-022-05200-z

    Keywords

    Search

    Navigation