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A (w, t, n)-weighted threshold dynamic quantum secret sharing scheme with cheating identification

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  • Li, Fulin
  • Luo, Mei
  • Zhu, Huihui
  • Zhu, Shixin
  • Pang, Binbin

Abstract

Quantum secret sharing holds a significant place in quantum cryptography. In this paper, a (w, t, n)-weighted threshold dynamic quantum secret sharing scheme with cheating identification is constructed based on the CRT for a polynomial ring. In our scheme, on the premise of not altering the private shares of the old participants, the dynamic update of the participants can be realized without other participants’ help, and the shared secret will not be changed. During the secret reconstruction phase, via executing the quantum state digital signature, the proposed scheme not only can timely detect the existence of the cheating behavior, but also once exists, definitely can identify one cheater and eliminate him from the system, making the scheme more secure. Moreover, our scheme enables secret sharing among participants with different authorities, which enhances the practicability of the scheme. Finally, the security analysis shows our scheme not only is resistant to a range of typical external attacks but can detect forgery, collusion, denial and dishonest revoked participant attacks.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:phsmap:v:612:y:2023:i:c:s0378437123000493
    DOI: 10.1016/j.physa.2023.128494
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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. Li, Fulin & Luo, Mei & Zhu, Shixin, 2022. "A new (w, t, n)-weighted threshold quantum secret sharing scheme based on two-qubit system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 607(C).
    3. 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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    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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