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Efficient quantum multi-hop communication based on Greenberger–Horne–Zeilinger states and Bell states

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Abstract

A novel quantum multi-hop communication scheme is proposed based on multi-qubit Greenberger–Horne–Zeilinger (GHZ) states and Bell states. We first propose a method where a GHZ state of arbitrary scale is generated efficiently by combining small-scale GHZ states via Bell-state measurements in a distributed manner. Based on this, we present an efficient and economical multi-hop quantum communication protocol. Finally, our scheme is compared with existing quantum multi-hop communication schemes in terms of communication efficiency.

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References

  1. 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. Let. 70, 1895–1899 (1993)

    Article  ADS  MathSciNet  Google Scholar 

  2. Vaidamn, L.: Teleportation of quantum states. Phys. Rev. A 49, 1473–1476 (1994)

    Article  ADS  Google Scholar 

  3. Braunstein, S.L., Kimble, H.J.: Teleportation of continuous quantum variables. Phys. Rev. Lett. 80, 869 (1998)

    Article  ADS  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

  5. Muralidharan, S., Panigrahi, P.K.: Perfect teleportation, quantum-state sharing and superdense coding through a genuinely entangled five-qubit state. Phys. Rev. A 77, 032321 (2008)

    Article  ADS  Google Scholar 

  6. Muralidharan, S., Karumanchi, S., Jain, S., Srikanth, R., Panigrahi, P.K.: 2N qubit “mirror states” for optimal quantum communication. Eur. Phys. J. D 61, 757–763 (2011)

    Article  ADS  Google Scholar 

  7. Bouwmeester, D., Pan, J.-W., Mattle, K., Eibl, M., Weinfurter, H., Zeilinger, A.: Experimental quantum teleportation. Nature 390, 575–579 (1997)

    Article  ADS  Google Scholar 

  8. Olmschenk, S., Matsukevich, D.N., Maunz, P., Hayes, D., Duan, L.-M., Monroe, C.: Quantum teleportation between distant matter qubits. Science 323, 486–489 (2009)

    Article  ADS  Google Scholar 

  9. Jin, X.-M., Ren, J.-G., Yang, B., Yi, Z.-H., Zhou, F., Xu, X.-F., Wang, S.-K., Yang, D., Hu, Y.-F., Jiang, S., Yang, T., Yin, H., Chen, K., Peng, C.-Z., Pan, J.-W.: Experimental free-space quantum teleportation. Nat. Photon. 4, 376–381 (2010)

    Article  ADS  Google Scholar 

  10. Yin, J., Ren, J.-G., Lu, H., Cao, Y., Yong, H.-L., Wu, Y.-P., Liu, C., Liao, S.-K., Zhou, F., Jiang, Y., Cai, X.-D., Xu, P., Pan, G.-S., Jia, J.-J., Huang, Y.-M., Yin, H., Wang, J.-Y., Chen, Y.-A., Peng, C.-Z., Pan, J.-W.: Quantum teleportation and entanglement distribution over 100-kilometre free-space channels. Nature 488, 185–188 (2012)

    Article  ADS  Google Scholar 

  11. Ma, X.-S., Herbst, T., Scheidl, T., Wang, D., Kropatschek, S., Naylor, W., Wittmann, B., Mech, A., Kofler, J., Anisimova, E., Makarov, V., Jennewein, T., Ursin, R., Zeilinger, A.: Quantum teleportation over 143 kilometres using active feed-forward. Nature 489, 269–273 (2012)

    Article  ADS  Google Scholar 

  12. Ren, J.-G., Xu, P., Yong, H.-L., et al.: Ground-to-satellite quantum teleportation. Nature 549, 70–73 (2017)

    Article  ADS  Google Scholar 

  13. Cheng, S.-T., Wang, C.-Y., Tao, M.-H.: Quantum communication for wireless wide-area networks. IEEE J. Sel. Area Commun. 23, 1424–1432 (2005)

    Article  Google Scholar 

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

    Article  ADS  Google Scholar 

  15. Wang, K., Yu, X.-T., Lu, S.-L., Gong, X.-Y.: Quantum wireless multihop communication based on arbitrary Bell pairs and teleportation. Phys. Rev. A 89(2), 022329 (2014)

    Article  ADS  Google Scholar 

  16. Wang, K., Gong, X.-Y., Yu, X.-T., Lu, S.-L.: Addendum to “Quantum wireless multihop communication based on arbitrary Bell pairs and teleportation.” Phys. Rev. A 90, 044302 (2014)

    Article  ADS  Google Scholar 

  17. Cai, X.-F., Yu, X.-T., Shi, L.-H., Zhang, Z.-C.: Partially entangled states bridge in quantum teleportation. Front. Phys. 9(5), 646–651 (2014)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    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. 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, 76–81 (2017)

    Article  ADS  Google Scholar 

  22. Zhang, Z.-H., Wang, J.-W., Sun, M.: Multihop teleportation via the composite of asymmetric W state and Bell state. Int. J. Theor. Phys. 57, 3605–3620 (2018)

    Article  MathSciNet  Google Scholar 

  23. Yang, Y.-G., Cao, S.-N., Zhou, Y.-H., Shi, W.-M.: Quantum wireless network communication based on cluster states. Mode. Phys. Lett A 35, 2050178 (2020)

    Article  ADS  MathSciNet  Google Scholar 

  24. Gao, X.-Q., Zhang, Z.-C., Sheng, B.: Multi-hop teleportation in a quantum network based on mesh topology. Front. Phys. 13, 130314 (2018)

    Article  Google Scholar 

  25. Xiong, P.-Y., Yu, X.-T., Zhang, Z.-C., et al.: Routing protocol for wireless quantum multi-hop mesh backbone network based on partially entangled GHZ state. Front. Phys. 12, 120302 (2017)

    Article  ADS  Google Scholar 

  26. Wallnöfer, J., Zwerger, M., Muschik, C., Sangouard, N., Dür, W.: Two-dimensional quantum repeaters. Phys. Rev. A 94, 052307 (2016)

    Article  ADS  Google Scholar 

  27. Pemberton, P.J., Kay, A.: Perfect quantum routing in regular spin networks. Phys. Rev. Lett. 106, 020503 (2011)

    Article  ADS  Google Scholar 

  28. Fowler, A.G., Wang, D.S., Hill, C.D., Ladd, T.D., VanMeter, R., Hollenberg, L.C.L.: Surface code quantum communication. Phys. Rev. Lett. 104, 180503 (2010)

    Article  ADS  Google Scholar 

  29. Meter, R., Satoh, T., Ladd, T.D., Munro, W.J., Nemoto, K.: Path selection for quantum repeater networks. Netw. Sci. 3, 82–95 (2013)

    Article  Google Scholar 

  30. Jiang, D.H., Wang, J., Liang, X.Q., Xu, G.B., Qi, H.F.: Quantum voting scheme based on locally indistinguishable orthogonal product states. Int. J. Theor. Phys. 59(2), 436–444 (2020)

    Article  MathSciNet  Google Scholar 

  31. Xu, G.B., Jiang, D.H.: Novel methods to construct nonlocal sets of orthogonal product states in an arbitrary bipartite high-dimensional system. Quantum Inf. process. 20, 128 (2021)

    Article  ADS  MathSciNet  Google Scholar 

  32. Du, G., Zhou, B.M., Ma, C.G., Zhang, S., Li, J.Y.: A secure quantum voting scheme based on orthogonal product states. Int. J. Theor. Phys. 60(4), 1374–1383 (2021)

    Article  MathSciNet  Google Scholar 

  33. Lin, M.M., Xue, D.W., Wang, Y., Zhang, K.J.: A new quantum payment protocol based on a set of local indistinguishable orthogonal product states. Int. J. Theor. Phys. 60(4), 1237–1245 (2021)

    Article  MathSciNet  Google Scholar 

  34. Jiang, D.H., Hu, Q.Z., Liang, X.Q., Xu, G.B.: A trusted third-party E-payment protocol based on locally indistinguishable orthogonal product states. Int. J. Theor. Phys. 59(5), 1442–1450 (2020)

    Article  MathSciNet  Google Scholar 

  35. Xu, Y.L., Xu, G.B., Jiang, D.H.: Novel quantum proxy signature scheme based on orthogonalquantum product states. Mod. Phys. Lett. B 34(16), 2050172 (2020)

    Article  ADS  Google Scholar 

Download references

Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant No. 62071015); the Beijing Municipal Science and Technology Commission (Project No. Z191100007119004), and the Guangxi Key Laboratory of Cryptography and Information Security (Grant No. GCIS201810).

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Authors and Affiliations

  1. Faculty of Information Technology, Beijing University of Technology, Beijing, 100124, China

    Yong-Li Yang, Yu-Guang Yang, Yi-Hua Zhou & Wei-Min Shi

  2. Beijing Key Laboratory of Trusted Computing, Beijing, 100124, China

    Yu-Guang Yang

  3. School of Artificial Intelligence, Beijing University of Posts and Telecommunications, Beijing, 100876, China

    Jian Li

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  1. Yong-Li Yang
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Correspondence to Yu-Guang Yang.

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Yang, YL., Yang, YG., Zhou, YH. et al. Efficient quantum multi-hop communication based on Greenberger–Horne–Zeilinger states and Bell states. Quantum Inf Process 20, 189 (2021). https://doi.org/10.1007/s11128-021-03121-0

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