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<p>Quantum secret sharing (QSS) is a pivotal domain within quantum cryptography. Nevertheless, existing QSS protocols are constrained to single-secret transmission at a time, rendering them inefficient in addressing the growing demand for multi-secret transmission scenarios. To tackle this inefficiency, this paper proposes a hierarchical multi-secret quantum secret sharing protocol, which integrates the mechanisms of quantum Fourier transform (QFT), linear homogeneous recurrence relations and quantum registers. In this protocol, the dealer (distributor) distributes quantum states among participants stratified into multiple hierarchical levels. Each participant holds a unique secret share, and users at different levels gain access to distinct pieces of information—realizing simultaneous multi-secret transmission with hierarchical access control. Moreover, the paper presents a rigorous proof for the protocol’s correctness. Comprehensive security analysis further confirms that the proposed scheme can effectively resist common external attacks and internal attacks, thus guaranteeing the security of shared quantum secrets.</p>

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Hierarchical multi-secret quantum secret sharing via quantum Fourier transform and linear homogeneous recurrence relations

  • 期刊论文

  • 发表日期：

    2026年5月25日

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  • Chaonan Wang,
  • Peng Guo,
  • Ningning Xu,
  • Haocheng Kan,
  • Hongfeng Zhu

摘要

Quantum secret sharing (QSS) is a pivotal domain within quantum cryptography. Nevertheless, existing QSS protocols are constrained to single-secret transmission at a time, rendering them inefficient in addressing the growing demand for multi-secret transmission scenarios. To tackle this inefficiency, this paper proposes a hierarchical multi-secret quantum secret sharing protocol, which integrates the mechanisms of quantum Fourier transform (QFT), linear homogeneous recurrence relations and quantum registers. In this protocol, the dealer (distributor) distributes quantum states among participants stratified into multiple hierarchical levels. Each participant holds a unique secret share, and users at different levels gain access to distinct pieces of information—realizing simultaneous multi-secret transmission with hierarchical access control. Moreover, the paper presents a rigorous proof for the protocol’s correctness. Comprehensive security analysis further confirms that the proposed scheme can effectively resist common external attacks and internal attacks, thus guaranteeing the security of shared quantum secrets.