Scholarlink

<p>In this study, we propose a restricted (<i>k</i>,&#xa0;<i>n</i>)-threshold quantum secret sharing (QSS) scheme based on the local distinguishability of a type of special multipartite entangled states. In this scheme, the <i>n</i> participants are divided into <i>k</i> groups. Participants who come from <i>k</i> different groups cooperate with each other can reconstruct the secret; while participants from <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(k-1\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>k</mi> <mo>-</mo> <mn>1</mn> </mrow> </math></EquationSource> </InlineEquation> or less groups cannot obtain any information about the secret. According to the grouping requirements in the scheme, we introduce a definition of derived state and find that the derived states of a pair of orthogonal GHZ-like states can be used to design such a restricted QSS scheme. In addition, the general relationship between the original state and its derived states in the structure of stabilizer are also given in this study, which is very important for eavesdropping detection. Following the proposed theorems and the model of the scheme, a restricted (3,&#xa0;10)-threshold QSS scheme can be introduced easily. Compared with previous schemes, the improved scheme is more efficient in the universality.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

An efficient restricted (k, n)-threshold quantum-secret-sharing scheme based on local distinguishability

  • 期刊论文

  • 发表日期：

    2026年3月27日

查看全文
  • Jing-Tao Wang,
  • Xin-Yu Chen,
  • Yun Pan,
  • Jing Li,
  • Yan-rong Lu

摘要

In this study, we propose a restricted (k, n)-threshold quantum secret sharing (QSS) scheme based on the local distinguishability of a type of special multipartite entangled states. In this scheme, the n participants are divided into k groups. Participants who come from k different groups cooperate with each other can reconstruct the secret; while participants from \(k-1\) k - 1 or less groups cannot obtain any information about the secret. According to the grouping requirements in the scheme, we introduce a definition of derived state and find that the derived states of a pair of orthogonal GHZ-like states can be used to design such a restricted QSS scheme. In addition, the general relationship between the original state and its derived states in the structure of stabilizer are also given in this study, which is very important for eavesdropping detection. Following the proposed theorems and the model of the scheme, a restricted (3, 10)-threshold QSS scheme can be introduced easily. Compared with previous schemes, the improved scheme is more efficient in the universality.