一类通信高效量子秘密共享方案的构造
Construction of a Class of Communication-Efficient Quantum Secret Sharing Schemes
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中文总结 AI 辅助
针对量子秘密共享面临的通信成本高和传输效率低等问题，本文提出检测中间集的方法，进而构建带窃听检测的通信高效完美量子秘密共享方案，分析不同参与方数量下通信成本，验证了方案的通信效率与安全性。
中文摘要 AI 辅助
量子秘密共享是量子密码学中的一项基础技术。但在实际量子网络中，它仍面临高量子通信成本和低传输效率等瓶颈。现有研究提出斜坡量子秘密共享方案以降低通信成本，但其中间集可能泄露秘密的部分信息。本文提出一种检测中间集的方法，在此基础上进一步提出带窃听检测的通信高效完美量子秘密共享方案，分析不同参与方数量下的通信成本，确定使重构通信成本最小的参与方范围，结果验证了该方案的通信效率和安全性。
英文摘要
Quantum secret sharing is a fundamental technique in quantum cryptography. However, in practical quantum networks, it still faces several bottlenecks, such as high quantum communication cost and low transmission efficiency. To reduce the communication cost, ramp quantum secret sharing schemes have been proposed in existing studies. Nevertheless, intermediate sets in such schemes may leak partial information about the secret. To address this problem, this paper presents a method for detecting intermediate sets. Based on this method, we further propose a communication-efficient perfect quantum secret sharing scheme with eavesdropping detection capability.We analyze the communication cost under different numbers of participating parties and determine the range of participants that minimizes the reconstruction communication cost. The results verify the communication efficiency and security of the proposed scheme.
