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<p>To address the quantum resource bottleneck in conventional quantum secret sharing (QSS) and meet hierarchical security demands in multi-level quantum networks, this paper proposes a Hybrid Quantum State Sharing (HQSS) scheme that integrates quantum compression with classical threshold sharing. The protocol combines the Multi-scale Entanglement Renormalization Ansatz (MERA) for hierarchical quantum state compression with Shamir’s (<i>t</i>,&#xa0;<i>n</i>) threshold scheme. Quantum states are compressed through disentanglement/isometry hierarchies, reducing <i>l</i>-level states to single qubits, while corresponding operation sequences are encoded as classical shares. The framework supports collaborative reconstruction requiring only one quantum participant and <i>l</i> classical participants. This work resolves scalability challenges in quantum networks through MERA-based compression and hybrid quantum–classical architecture. The scheme provides a practical solution for hierarchical quantum state sharing.</p>

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Simultaneous sharing of multiple l-level quantum states via compression and threshold encoding

  • 期刊论文

  • 发表日期：

    2026年2月20日

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  • Hong Lai,
  • Li Ren,
  • Shengli Si,
  • Josef Pieprzyk

摘要

To address the quantum resource bottleneck in conventional quantum secret sharing (QSS) and meet hierarchical security demands in multi-level quantum networks, this paper proposes a Hybrid Quantum State Sharing (HQSS) scheme that integrates quantum compression with classical threshold sharing. The protocol combines the Multi-scale Entanglement Renormalization Ansatz (MERA) for hierarchical quantum state compression with Shamir’s (t, n) threshold scheme. Quantum states are compressed through disentanglement/isometry hierarchies, reducing l-level states to single qubits, while corresponding operation sequences are encoded as classical shares. The framework supports collaborative reconstruction requiring only one quantum participant and l classical participants. This work resolves scalability challenges in quantum networks through MERA-based compression and hybrid quantum–classical architecture. The scheme provides a practical solution for hierarchical quantum state sharing.