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This paper addresses critical bottlenecks in practical quantum networks by proposing a communication-efficient scheme for perfect quantum secret sharing that includes eavesdropping detection. By optimizing the number of participating parties, the authors demonstrate how to minimize reconstruction costs while preventing information leakage from intermediate sets. The work advances the theoretical framework necessary for deploying secure and scalable quantum cryptographic protocols.
Construction of a Class of Communication-Efficient Quantum Secret Sharing Schemes
arXiv:2607.19891v1 Announce Type: new Abstract: 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.
Abstract: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 this http URL 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.
arXiv:2607.19891 [quant-ph]
(or arXiv:2607.19891v1 [quant-ph] for this version)
https://doi.org/10.48550/arXiv.2607.19891 Focus to learn more arXiv-issued DOI via DataCite (pending registration)
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