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The general theory of three-party quantum secret sharing protocols under phase-damping channels
SONG Ting-Ting 1, QIN Su-Juan 1, WEN Qiao-Yan 1, ZHANG Wei-Wei 1, and SUN Ying 2
1. State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing, 100876, China
2. Beijing Electronic Science and Technology Institute, Beijing, China
*Correspondence author
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Funding: Specialized Research Fund for the Doctoral Program of Higher Education （No.Grant No. 20090005110010）
Opened online:31 January 2013
Accepted by: none
Citation: SONG Ting-Ting, QIN Su-Juan, WEN Qiao-Yan.The general theory of three-party quantum secret sharing protocols under phase-damping channels[OL]. [31 January 2013] http://en.paper.edu.cn/en_releasepaper/content/4518224
 
 
The general theory of three-party QSS protocols with the noisy quantum channels is discussed. When the particles are transmitted through the noisy quantum channels, the initial three-qubit pure tripartite entangled states would be changed into mixed states. We analyze the security of QSS protocols with the different kinds of three-qubit tripartite entangled states under phase-damping channels, and figure out that for different kinds of initial states the successful probabilities Alice's secret can be recovered by legal agents are different. At the end, we discuss the security of one recent proposed QSS protocol, and show that the protocol would leak one bit of Alice's secret under the participant attack strategy.
Keywords:Quantum computing, quantum theory, quantum secret sharing, noisy quantum channel, W states, GHZ states
 
 
 

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