The general theory of three-party quantum secret sharing protocols over phase-damping channels

  • Authors:
  • Ting-Ting Song;Qiao-Yan Wen;Su-Juan Qin;Wei-Wei Zhang;Ying Sun

  • Affiliations:
  • State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing, China 100876 and State Key Laboratory of Information Security, Institute o ...;State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing, China 100876;State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing, China 100876;State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing, China 100876;Beijing Electronic Science and Technology Institute, Beijing, China

  • Venue:
  • Quantum Information Processing
  • Year:
  • 2013

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Abstract

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 pure three-qubit 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, for different kinds of initial states, the successful probabilities that Alice's secret can be recovered by legal agents are different. Comparing with one recent QSS protocol based on GHZ states, our scheme is secure, and has a little smaller key rate than that of the recent protocol.