Graph State-Based Quantum Secret Sharing with the Chinese Remainder Theorem

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• 作者：Ying Guo ; Peng Luo ; Yijun Wang
• 关键词：Quantum secret sharing ; Graph state ; The Chinese remainder theorem ; Stabilizer operator ; Local complementation
• 刊名：International Journal of Theoretical Physics
• 出版年：2016
• 出版时间：November 2016
• 年：2016
• 卷：55
• 期：11
• 页码：4936-4950
• 全文大小：578 KB
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Physics
  Quantum Physics
  Elementary Particles and Quantum Field Theory
  Mathematical and Computational Physics
  
• 出版者：Springer Netherlands
• ISSN：1572-9575
• 卷排序：55

文摘

Quantum secret sharing (QSS) is a significant quantum cryptography technology in the literature. Dividing an initial secret into several sub-secrets which are then transferred to other legal participants so that it can be securely recovered in a collaboration fashion. In this paper, we develop a quantum route selection based on the encoded quantum graph state, thus enabling the practical QSS scheme in the small-scale complex quantum network. Legal participants are conveniently designated with the quantum route selection using the entanglement of the encoded graph states. Each participant holds a vertex of the graph state so that legal participants are selected through performing operations on specific vertices. The Chinese remainder theorem (CRT) strengthens the security of the recovering process of the initial secret among the legal participants. The security is ensured by the entanglement of the encoded graph states that are cooperatively prepared and shared by legal users beforehand with the sub-secrets embedded in the CRT over finite fields.