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Fair quantum secret sharing based on symmetric bivariate polynomial

Author

Listed:
  • Bai, Chen-Ming
  • Zhang, Sujuan
  • Liu, Lu

Abstract

In this paper, we propose a new fair (t,n) threshold quantum secret sharing scheme based on the d-dimensional Bell state and symmetric bivariate polynomial. In the distribution phase, the dealer uses the symmetric bivariate polynomial to encode the secret and produces the corresponding share for each participant. To achieve fairness, we construct a secret sequence, which can guarantee that each participant can recover the correct secret if all participants are legal and honest. In reconstruction phase, the dealer prepares the d-dimensional Bell state, and all participants perform the unitary operations produced by the share of their polynomials on the transmitted particles to reconstruct the secret. Through the sequential communications, the proposed scheme has a good scalability. Furthermore, we consider the situation that these participants cooperate to recover the secret when the number of participants is more than t. At last, we analyze the correctness, security and fairness of the proposed protocol.

Suggested Citation

  • Bai, Chen-Ming & Zhang, Sujuan & Liu, Lu, 2022. "Fair quantum secret sharing based on symmetric bivariate polynomial," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 589(C).
  • Handle: RePEc:eee:phsmap:v:589:y:2022:i:c:s0378437121009055
    DOI: 10.1016/j.physa.2021.126673
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    Cited by:

    1. Li, Fulin & Chen, Tingyan & Zhu, Shixin, 2022. "Dynamic (t,n) threshold quantum secret sharing based on d-dimensional Bell state," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 606(C).

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