计算机科学与探索 ›› 2012, Vol. 6 ›› Issue (5): 465-472.DOI: 10.3778/j.issn.1673-9418.2012.05.008

• 学术研究 • 上一篇    下一篇

利用最大真纠缠六方态共享经典秘密信息

龙银香1+,龙冬阳2,邱道文2   

  1. 1. 广东水利电力职业技术学院 计算机信息工程系,广州 510635
    2. 中山大学 计算机科学系,广州 510006
  • 出版日期:2012-05-01 发布日期:2012-05-09

Quantum Secret Sharing of Classical Messages by Genuinely Maximally Entangled Six-Qubit State

LONG Yinxiang1+, LONG Dongyang2, QIU Daowen2   

  1. 1. Department of Computer Information Engineering, Guangdong Technical College of Water Resources and Electric Engineering, Guangzhou 510635, China
    2. Department of Computer Science, Sun Yat-Sen University, Guangzhou 510006, China
  • Online:2012-05-01 Published:2012-05-09

摘要: 纠缠是一种重要的量子信息资源,Bell态、GHZ态等纠缠态被广泛用于量子秘密共享中。Borras等人发现的最大真六方纠缠态在任意的双方割之间具有最大的纠缠值,已经被证明可用于量子隐形传态,并表现良好的性质。通过分析Borras态的结构,利用广义Schmidt分解工具,构造了一个具体的量子秘密共享协议:事先在Alice和4个代理之间共享一个Borras纠缠态,Alice拥有其中2个qubit,代理们分别拥有它的1个qubit,则Alice可在代理间共享2 bit经典信息。

关键词: 量子秘密共享, 纠缠态, 真多方纠缠, 六方态

Abstract: Entanglement is an important resource which can be applied in quantum information processing. Now, Bell states and GHZ states have been widely used in quantum secret sharing. The genuinely maximally entangled six-qubit state, which was discovered by Borras recently and called as Borras state, has been shown to exhibit some excellent characters in quantum teleportation. By analyzing the structure of Borras state and making generalized Schmidt decomposition, this paper constructs a concrete protocol of quantum secret sharing, in which Alice can share two bits among her agents, if she shares a Borras state with her four agents in advance (each agent has one qubit, and Alice has two qubits).

Key words: quantum secret sharing, entangled state, genuinely multipartite entanglement, six-qubit state