A Verifiable Dynamic Quantum Multi-secret Sharing Scheme Based on d-dimensional GHZ State

Dynamic quantum multi-secret sharing plays a crucial role in quantum cryptography. This paper proposes a verifiable dynamic quantum multi-secret sharing scheme based on d-dimensional GHZ states, which simultaneously supports the sharing of multiple classical or quantum secrets and allows for the dynamic addition or removal of participants. Compared with existing schemes, the proposed scheme introduces the GHZ state measurement heterogeneity mechanism and hash verification mechanism, which not only enhances resistance to participant collusion attacks and revocation attacks but also improves the security and flexibility of the protocol. The protocol design avoids multiple rounds of communication and has low resource consumption. Security analysis and performance comparisons show that the proposed scheme has significant advantages over existing schemes in terms of functionality, efficiency, and security.