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arXiv 0908.0084quant-ph
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真正的(k,m)阈值控制传送及其安全性

Genuine (k, m)-threshold controlled teleportation and its security

Xin-Wen Wang, Da-Chuang Li, Guo-Jian Yang

摘要:

我们提出了真正的($k$,$m$)-阈值控制方案,通过多粒子纠缠态的受控隐形传态,其中量子态从发送者(爱丽丝)到接收者(鲍勃)的隐形传态是在$m$监督者的控制下,这样$k$($k\leq m$)或更多的这些监督者可以帮助鲍勃恢复传输的状态。通过构造,我们的任何一个量子信道都是一个真正的多体纠缠态,其中任何两个部分都是不可分割的。将它们的性质与著名的Greenberger-Horne-Zeilinger态、W态和线性团簇态以及最近文献中介绍的几种真正的多体纠缠态进行了比较和对比。我们表明,我们的计划是安全的,对鲍勃的不诚实和监督员的背信弃义。对于后一种情况,利用博弈论证明了监管者的欺诈行为是可以很好地防范的。这些方案不仅具有重要的实用价值,而且对寻找和探索真正的多体纠缠态也有一定的意义,为博弈论在量子信息科学中的应用开辟了另一个新的视角.

英文摘要:

We propose genuine ($k$, $m$)-threshold controlling schemes for controlled teleportation via multi-particle entangled states, where the teleportation of a quantum state from a sender (Alice) to a receiver (Bob) is under the control of $m$ supervisors such that $k$ ($k\leq m$) or more of these supervisors can help Bob recover the transferred state. By construction, anyone of our quantum channels is a genuine multipartite entangled state of which any two parts are inseparable. Their properties are compared and contrasted with those of the well-known Greenberger-Horne-Zeilinger, W, and linear cluster states, and also several other genuine multipartite entangled states recently introduced in literature. We show that our schemes are secure against both Bob's dishonesty and supervisors' treacheries. For the latter case, the game theory is utilized to prove that supervisors' cheats can be well prevented. In addition to their practical importance, our schemes are also useful in seeking and exploring genuine multipartite entangled states and opening another perspective for the applications of the game theory in quantum information science.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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