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A (t, n) Threshold Quantum Secret Sharing Scheme with Fairness

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Abstract

Quantum secret sharing is an important technique of quantum cryptography. A (t, n) threshold quantum secret sharing scheme with fairness is proposed. Firstly, the proposed scheme only requires the distributor to provide a share for each participant to achieve fairness. Secondly, the distributor interacts with participants only during the secret distribution phase. Another important point is that our scheme combines the privacy features of secure multi-party computing to ensure the reuse of participants’ secret shares. Finally, in our scheme, the correctness, security and fairness are discussed in detail.

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Acknowledgements

The authors would like to thank the National Natural Science Foundation of China (No.U21A20428, No.61972126, No.12171134) for supporting this research.

Funding

This work was supported by the National Natural Science Foundation of China (No.U21A20428, No.61972126, No.12171134).

Author information

Authors and Affiliations

  1. School of Mathematics, Hefei University of Technology, Hefei, 230009, China

    Fulin Li, Tingyan Chen & Shixin Zhu

  2. School of Mathematics and Physics, Xinjiang Agricultural University, Urumqi, 830052, Xinjiang, People’s Republic of China

    Fulin Li

Authors
  1. Fulin Li
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  2. Tingyan Chen
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  3. Shixin Zhu
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Contributions

Conceptualization, L.F.L., C.T.Y., Z.S.X.; formal analysis, L.F.L., C.T.Y., Z.S.X.; investigation, L.F.L., C.T.Y.; methodology, L.F.L. and C.T.Y.; validation, L.F.L., C.T.Y.; writing-original draft, L.F.L. and C.T.Y.; writing-review & editing, L.F.L., C.T.Y., Z.S.X.

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Correspondence to Fulin Li.

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Li, F., Chen, T. & Zhu, S. A (t, n) Threshold Quantum Secret Sharing Scheme with Fairness. Int J Theor Phys 62, 119 (2023). https://doi.org/10.1007/s10773-023-05383-z

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