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

• Published in: Physica A Vol. 606; p. 128122
• Main Authors: Li, Fulin, Chen, Tingyan, Zhu, Shixin
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 15.11.2022
• Subjects: [formula omitted] Threshold; [formula omitted]-Dimensional Bell state; Dynamic quantum secret sharing; Homogeneous LFSR sequences; Verification mechanism; Verification mechanism; (t,n) Threshold; Homogeneous LFSR sequences; d-Dimensional Bell state; Dynamic quantum secret sharing
• ISSN: 0378-4371; 1873-2119
• DOI: 10.1016/j.physa.2022.128122

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.