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<p>In quantum secret sharing research, the construction of communication efficient schemes constitutes an important research direction. Recently, a class of communication efficient quantum threshold secret sharing schemes was proposed. However, the investigation was limited to analyzing communication costs during the reconstruction phase. This paper focuses on quantum secret sharing schemes based on multi-particle entangled states, constructing a practical and efficient quantum secret sharing scheme. Performance analysis of the scheme shows that by optimizing the communication mechanism and resource allocation strategy, when the combiner recovers the secret by accessing any authorized set of size <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\varvec{d}_{\varvec{i}}\)</EquationSource> </InlineEquation>, with the increase of <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\varvec{d}_{\varvec{i}}\)</EquationSource> </InlineEquation>, the communication cost in the reconstruction phase is effectively reduced, and the quantum communication efficiency is significantly improved. Finally, we prove that the protocol is secure under intercept-and-resend attacks, collusion attacks, entangle-and-measure attacks, and Trojan horse attacks.</p>

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A Practical and Efficient Quantum Threshold Secret Sharing Scheme

  • 期刊论文

  • 发表日期：

    2025年10月21日

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  • Na Zhou,
  • Zhihui Li,
  • Xingjia Wei,
  • Lijie Rui

摘要

In quantum secret sharing research, the construction of communication efficient schemes constitutes an important research direction. Recently, a class of communication efficient quantum threshold secret sharing schemes was proposed. However, the investigation was limited to analyzing communication costs during the reconstruction phase. This paper focuses on quantum secret sharing schemes based on multi-particle entangled states, constructing a practical and efficient quantum secret sharing scheme. Performance analysis of the scheme shows that by optimizing the communication mechanism and resource allocation strategy, when the combiner recovers the secret by accessing any authorized set of size \(\varvec{d}_{\varvec{i}}\) , with the increase of \(\varvec{d}_{\varvec{i}}\) , the communication cost in the reconstruction phase is effectively reduced, and the quantum communication efficiency is significantly improved. Finally, we prove that the protocol is secure under intercept-and-resend attacks, collusion attacks, entangle-and-measure attacks, and Trojan horse attacks.