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Deterministic Multi-hop Teleportation of Arbitrary Single Qubit State via Partially Entangled GHZ-type State

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Abstract

In this paper, a controlled multi-hop quantum teleportation of arbitrary single qubit state is given. Quantum information can be transmitted hop by hop perfectly under some controllers’ helps. The partially entangled state used as quantum channel in the scheme can be produced from a partially GHZ state. Furthermore, only unitary operation, measurement with Bell state and classical base are needed in the scheme.

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References

  1. Bennett, C.H., Brassard, G., Crepeau, C., Jozsa, R., et al.: Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels. Phys. Rev. Lett 70, 1895 (1993)

    Article  ADS  MathSciNet  Google Scholar 

  2. Karlsson, A., Bournnane, M.: Quantum teleportation using three-particle entanglement. Phys. Rev. A 58, 4394–4400 (1998)

    Article  ADS  MathSciNet  Google Scholar 

  3. Rigolin, G.: Quantum teleportation of an arbitrary two-qubit state and its relation to multipartite entanglement. Phys. Rev. A 71, 032303 (2005)

    Article  ADS  Google Scholar 

  4. Luo, M.X., Deng, Y.: Quantum splitting an arbitrary three-qubit state with x-state. Quantum Inf. Process. 12(2), 773–784 (2013)

    Article  ADS  MathSciNet  Google Scholar 

  5. Zhang, Z.H., Shu, L., Mo, Z.W.: Quantum teleportation and superdense coding through the composite W-Bell channel. Quantum Inf. Process. 12, 1957–1967 (2013)

    Article  ADS  MathSciNet  Google Scholar 

  6. Liu, J.C., Li, Y.H., Nie, Y.Y.: Controlled teleportation of an arbitrary two-particle pure or mixed state by using a five-qubit cluster state. Int. J. Theor Phys. 49, 1976–1984 (2010)

    Article  MathSciNet  Google Scholar 

  7. Gordon, G., Rigolin, G.: Generalized teleportation protocol. Phys. Rev. A 73, 042309 (2006)

    Article  ADS  Google Scholar 

  8. Liuzzo, P., Mari, A., Giovannetti, V., Adesso, G.: Optimal continous variable quantum teleportation with limited resources. Phys. Rev. Lett. 119(12), 120503 (2017)

    Article  ADS  Google Scholar 

  9. Agrawal, P., Pati, A.K.: Probabilistic quantum teleportation. Phys. Lett. A 305(25), 12–17 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  10. Nie, Y.Y., Hong, Z.H., Huang, Y.B.: Non-maximally entangled controlled teleportation using for particles cluster states. Int. J. Theor. Phys. 48, 1485–1490 (2009)

    Article  MathSciNet  Google Scholar 

  11. Li, D., Shi, Z.: Probabilistic teleportation via entanglement. Int. J. Theor. Phys. 47, 2645–2654 (2008)

    Article  MathSciNet  Google Scholar 

  12. Yan, F., Yan, T.: Probabilistic teleportation via a non-maximally entangled GHZ state. Chinese Science Bulletin 55, 902–906 (2010)

    Article  ADS  Google Scholar 

  13. Gao, T., Yan, F.L., Li, Y.C.: Optimal controlled teleportation. Europhys. Lett. A 84, 5001 (2008)

    Google Scholar 

  14. Wang, J. W., Shu, L., Mo, Z.W., et al.: Controlled teleportation of a qudit state by partially entangled GHZ states. Int. Theor.Phys. 53, 2867–2873 (2014)

    Article  Google Scholar 

  15. Li, H., Li, C., Wu, R.: Deterministic teleportation of an arbitrary two-qubit state via a one-dimensional four-qubit cluster state. Tsinghua Science and Technology 17, 3 (2012)

    ADS  Google Scholar 

  16. Shay, M., Jonathan, O., Benni, R.: Deterministic dense coding with partially entangled states. Phys. Rev. A 71, 012311 (2005)

    Article  Google Scholar 

  17. Wang, J.W., Shu, L.: Bidirectional quantum controlled teleportation of qudit state via partially entangled GHZ-type states. Int. J. Mod. Phys. B 29 (18), 1550122 (2015)

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

  19. Wang, J.W., Shu, L., Mo, Z.W.: Controlled remnote information concentration via Non-maximally entangled GHZ-type states. Int. J. Theor. Phys. 55, 746–753 (2016)

    Article  Google Scholar 

  20. Xu, X.T., Xu, J., Zhang, Z.C.: Distributed wireless quantum communication networks. Chin. Phys. B 22(9), 09311 (2013)

    Google Scholar 

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

    Article  ADS  Google Scholar 

  22. Shi, L.H., Yu, X.T., Cai, X.F.: Quantum information transmission in the quantum wireless multihop network based on Werner state. Chin. Phys. B 24(5), 050308 (2015)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  24. Zhang, Z., Wang, J., Sun, M.: Multihop teleportatioh via the composite of Asymmetric W state and Bell state. Int. J. Theor. Phys. 57, 3605–3620 (2018)

    Article  Google Scholar 

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

    Article  ADS  Google Scholar 

  26. Xiong, P.Y., Yu, X.T., Zhan, H.T., Zhang, Z.C.: Multiple teleportation via partially entangle GHZ state. Front. Phys. 11(4), 110303 (2016)

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  Google Scholar 

  28. Gao, X.Q., Zhang, Z.C., Sheng, B.: Multi-hop teleportation in a quantum network based on mesh topology. Front. Phys. 13(5), 1303014 (2018)

    Article  Google Scholar 

  29. Zhan, H.T., Yu, X.T., Xiong, P.Y., et al.: Multi-hop teleportation based W state and EPR pairs. Chin. Phys. B 25(5), 050305 (2016)

    Article  Google Scholar 

  30. 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. 981-993, 57 (2018)

    MathSciNet  MATH  Google Scholar 

  31. Binayak, Ch.S., Soumen, S.: A multi-hop teleportation protocol of arbitrary four-qubit states through intermediate nodes. Int. J. Quan. Inf. 16(03), 1850026 (2018)

    Article  MathSciNet  Google Scholar 

  32. Zou, Z.Z., Yu, X.T., Zhang, Z.C.: Quantum connecttivity optimization algorithms for entanglement source deployment in a quantum multi-hop network. Front. Phys. 13(2), 130202 (2018)

    Article  Google Scholar 

Download references

Acknowledgements

The authors thank the anonymous reviewer for the constructive comments and suggestions. The work is supported by Science and Technology Foundation of Guizhou Province(No. [2018]1019).

Funding

Science and Technology Foundation of Guizhou Province (No. [2018]1019).

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Liping Huang developed the idea of the study and helped to draft the manuscript. Lu Shu provided some data and revised the manuscript. Jinwei Wang was a major contributor in writing the manuscript.All authors read and approved the final manuscript.

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Correspondence to Jinwei Wang.

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Wang, J., Huang, L. & Shu, L. Deterministic Multi-hop Teleportation of Arbitrary Single Qubit State via Partially Entangled GHZ-type State. Int J Theor Phys 60, 2206–2215 (2021). https://doi.org/10.1007/s10773-021-04837-6

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