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Dynamic (t,n) threshold quantum secret sharing based on d-dimensional Bell state

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  • Li, Fulin
  • Chen, Tingyan
  • Zhu, Shixin

Abstract

Quantum secret sharing occupies an important position in quantum cryptography. In this document, a dynamic (t,n) threshold quantum secret sharing scheme is proposed based on homogeneous LFSR sequences and d-dimensional Bell states. The secret shared among agents in this scheme is determined by the distributor and the scheme enables the update of agents without the help of other agents. More, this paper considers the case when no less than t agents cooperate in secret reconstruction, which makes the proposed scheme more flexible and practical than the existing ones. Finally, our scheme is not only resistant to eavesdropping, collusion, dishonest revoked agent, and in-attacker’s cheating attacks, but also agents can verify for themselves that the shared secrets are correct.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:phsmap:v:606:y:2022:i:c:s0378437122006951
    DOI: 10.1016/j.physa.2022.128122
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    References listed on IDEAS

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    1. Lai, Hong & Pieprzyk, Josef & Pan, Lei & Orgun, Mehmet A., 2021. "Two types of dynamic quantum state secret sharing based on tensor networks states," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 582(C).
    2. 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).
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    Cited by:

    1. Li, Fulin & Luo, Mei & Zhu, Huihui & Zhu, Shixin & Pang, Binbin, 2023. "A (w, t, n)-weighted threshold dynamic quantum secret sharing scheme with cheating identification," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 612(C).

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    1. Li, Fulin & Luo, Mei & Zhu, Huihui & Zhu, Shixin & Pang, Binbin, 2023. "A (w, t, n)-weighted threshold dynamic quantum secret sharing scheme with cheating identification," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 612(C).

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