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Multiparty Quantum Key Agreement Based on Three-Photon Entanglement with Unidirectional Qubit Transmission

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Abstract

A multiparty quantum key agreement protocol based on three-photon entangled states is proposed. In this scheme, the quantum channel between all parties is that of a closed loop, in which the qubit transmission is one-way. Each party can obtain the sum of the other parties’ secret key values through the coding rules instead of extracting their private keys. The shared secret key cannot be determined by any subset of all the participants except the universal set and each party makes an equal contribution to the final key. Moreover, the security analysis shows our protocol can resist both outside attacks and inside attacks.

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References

  1. Bennett, C.H., Brassard, G.: Quantum cryptography: public key distribution and coin tossing. In: Proceedings of IEEE International Conference on Computers, Systems and Signal Processing. Bangalore, India, pp. 175–179 (1984)

  2. Ekert, A.K.: Quantum cryptography based on Bell’s theorem. Phys. Rev. Lett. 67, 661 (1991)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  3. Bennett, C.H.: Quantum cryptography using any two nonorthogonal states. Phys. Rev. Lett. 68, 3121 (1992)

    Article  ADS  MathSciNet  MATH  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  6. Deng, F.G., Long, G.L.: Controlled order rearrangement encryption for quantum key distribution. Phys. Rev. A 68, 042315 (2003)

    Article  ADS  Google Scholar 

  7. Gao, F., Guo, F.Z., Wen, Q.Y., Zhu, F.C.: On the information-splitting essence of two types of quantum key distribution protocols. Phys. Lett. A 355, 172–175 (2006)

    Article  ADS  MATH  Google Scholar 

  8. Karlsson, A., Koashi, M., Imoto, N.: Quantum entanglement for secret sharing and secret splitting. Phys. Rev. A 59, 162–168 (1999)

    Article  ADS  Google Scholar 

  9. Zhang, Z.J., Man, Z.X.: Multiparty quantum secret sharing of classical messages based on entanglement swapping. Phys. Rev. A 72, 022303 (2005)

    Article  ADS  MathSciNet  Google Scholar 

  10. Yang, Y.G., Wen, Q.Y., Zhu, F.C.: An efficient quantum secret sharing protocol with orthogonal product states. Science in China Series G: Physics. Mech. Astron. 50, 331–338 (2007)

    Article  MATH  Google Scholar 

  11. Deng, F.G., Long, G.L., Liu, X.S.: Two-step quantum direct communication protocol using the Einstein-Podolsky-Rosen pair block. Phys. Rev. A 68, 042317 (2003)

    Article  ADS  Google Scholar 

  12. Boström, K., Felbinger, T.: Deterministic secure direct communication using entanglement. Phys. Rev. Lett. 89, 187902 (2002)

    Article  ADS  Google Scholar 

  13. Yin, X.R., Ma, W.P., Liu, W.Y., Shen, D.S.: Efficient bidirectional quantum secure communication with two-photon entanglement. Quantum Inf. Process. 12, 3093–3102 (2013)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  14. Wang, L.L., Ma, W.P., Wang, M.L., Shen, D.S.: Three-party quantum secure direct communication with single photons in both polarization and spatial-mode degrees of freedom. Int. J. Theor. Phys. 55, 2490–2499 (2016)

    Article  MATH  Google Scholar 

  15. Steiner, M., Tsudik, G., Waidner, M.: Key agreement in dynamic peer groups. IEEE Trans. Parallel Distrib. Syst. 11, 769–780 (2000)

    Article  Google Scholar 

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

  17. Zhou, N., Zeng, G., Xiong, J.: Quantum key agreement protocol. Electron. Lett. 40, 1149–1150 (2004)

    Article  Google Scholar 

  18. Tsai, C.W., Hwang, T.: On Quantum Key Agreement Protocol. Technical Report, C-S-I-E, NCKU, Taiwan R.O.C (2009)

  19. Chong, S.K., Hwang, T.: Quantum key agreement protocol based on BB84. Opt. Commun. 283, 1192–1195 (2010)

    Article  ADS  Google Scholar 

  20. Shi, R.H., Zhong, H.: Multi-party quantum key agreement with bell states and bell measurements. Quantum Inf. Process. 12, 921–932 (2013)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  21. Yin, X.R., Ma, W.P., Liu, W.Y.: Three-party quantum key agreement with two-photon entanglement. Int. J. Theor. Phys. 52, 3915–3921 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  22. Liu, B., Gao, F., Huang, W., Wen, Q.Y.: Multiparty quantum key agreement with single particles. Quantum Inf. Process. 12, 1797–1805 (2013)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  23. Sun, Z., Zhang, C., Wang, B., Li, Q., Long, D.: Improvements on “multiparty quantum key agreement with single particles”. Quantum Inf. Process. 12, 3411–3420 (2013)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  24. Shen, D.S., Ma, W.P., Wang, L.L.: Two-party quantum key agreement with four-qubit cluster states. Quantum Inf. Process. 13, 2313 (2014)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  25. Huang, W., Wen, Q.Y., Liu, B., Su, Q., Gao, F.: Cryptanalysis of a multi-party quantum key agreement protocol with single particles. Quantum Inf. Process. 13, 1651–1657 (2014)

    Article  ADS  MathSciNet  Google Scholar 

  26. Xu, G.B., Wen, Q.Y., Gao, F., Qin, S.J.: Novel multiparty quantum key agreement protocol with GHZ states. Quantum Inf. Process. 13, 2587–2594 (2014)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  27. He, Y.F., Ma, W.P.: Quantum key agreement protocols with four-qubit cluster states. Quantum Inf. Process. 14, 3483–3498 (2015)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  28. Zhu, Z.C., Hu, A.Q., Fu, A.M.: Participant attack on three-party quantum key agreement with two-photon entanglement. Int. J. Theor. Phys. 55, 55–61 (2016)

    Article  MATH  Google Scholar 

  29. Huang, W., Su, Q., Xu, B.J., Liu, B., Fan, F., Jia, H.Y., Yang, Y.H.: Improved multiparty quantum key agreement in travelling mode. Sci. China-Phys. Mech. Astron. 59, 120311 (2016)

    Article  Google Scholar 

  30. Sun, Z.W., Zhang, C., Wang, P., Yu, J.P., Zhang, Y., Long, D.Y.: Multi-party quantum key agreement by an entangled six-qubit state. Int. J. Theor. Phys. 55, 1920–1929 (2016)

    Article  MATH  Google Scholar 

  31. Gu, J., Hwang, T.: Improvement of “Novel multiparty quantum key agreement protocol with ghz states”. Int. J. Theor. Phys. 56, 3108–3116 (2017)

    Article  MathSciNet  MATH  Google Scholar 

  32. Liu, W.J., Chen, Z.Y., Ji, S., Wang, H.B., Zhang, J.: Multi-party semi-quantum key agreement with delegating quantum computation. Int. J. Theor. Phys. 56, 3164–3174 (2017)

    Article  MathSciNet  MATH  Google Scholar 

  33. Min, S.Q., Chen, H.Y., Gong, L.H.: Novel multi-party quantum key agreement protocol with g-like states and bell states. Int. J. Theor. Phys. 57, 1811–1822 (2018)

    Article  MathSciNet  MATH  Google Scholar 

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (Grant Nos. 61373171 and 61502407), Shandong Provincial Natural Science Foundation (Grant No. ZR2017LF001), the Project of Shandong Province Higher Educational Science and Technology Program (Grant Nos. J18KA312 and KJ2018BAN001) and the Project of Taishan University Doctoral Fund (Grant No. Y-01-2014020).

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Authors and Affiliations

  1. School of Mathematics and Statistics, Taishan University, Tai’an, 271000, China

    Xun-Ru Yin

  2. State Key Laboratory of Integrated Service Networks, Xidian University, Xi’an, 710071, China

    Wen-Ping Ma

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  1. Xun-Ru Yin
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  2. Wen-Ping Ma
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Correspondence to Xun-Ru Yin.

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Yin, XR., Ma, WP. Multiparty Quantum Key Agreement Based on Three-Photon Entanglement with Unidirectional Qubit Transmission. Int J Theor Phys 58, 631–638 (2019). https://doi.org/10.1007/s10773-018-3960-7

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  • DOI: https://doi.org/10.1007/s10773-018-3960-7

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