Multi-secret Sharing Model based on Hermite Interpolation Polynomial and Quantum Graph State

Abstract

With the rise of the Internet plus blockchain, quantum secure communication has become a hot topic of interdisciplinary research. Secret sharing is the key technology to realize blockchain. In this paper, the Hermite interpolation polynomial combined with the idea of homomorphic cryptography is used to construct a multi-secret sharing model based on quantum graph theory. This paper relies on the theory of quantum theory to have mature theoretical and experimental foundations in quantum preparation, storage transmission, and measurement feasibility and overcomes the existing program feasibility problems and potential security problems with classical cryptography. This model is outsourced, verifiable, and extensible and has a high information rate. It can effectively resist external interception, replay, entanglement, tampering attacks and internal forgery, impersonation, deception, and collusion attacks. This paper has carried on a detailed analysis of the model.