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.

中文翻译：

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基于 Hermite 插值多项式和量子图状态的多秘密共享模型

随着互联网+区块链的兴起，量子安全通信成为跨学科研究的热点。秘密共享是实现区块链的关键技术。本文利用Hermite插值多项式结合同态密码学思想，构建了基于量子图论的多秘密共享模型。本文依托量子理论，在量子制备、存储传输、测量可行性等方面具有成熟的理论和实验基础，克服了经典密码学存在的程序可行性问题和潜在的安全问题。该模型是外包的、可验证的、可扩展的，并且具有较高的信息率。可有效抵抗外界拦截、重放、纠缠、篡改攻击和内部伪造、冒充、欺骗和串通攻击。本文对该模型进行了详细的分析。