Security of quantum secret sharing with two-particle entanglement against individual attacks

  • Authors:

  • Su-Juan Qina;Fei Gao;Qiao-Yan Wen;Fu-Chen Zhu

  • Affiliations:

  • State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing, China;State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing, China;State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing, China;National Laboratory for Modern Communications, Chengdu, China

  • Venue:
  • Quantum Information & Computation
  • Year:
  • 2009

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Abstract

Security is the most important criterion to evaluate cryptography protocols. We inves-tigate the security of one important quantum secret sharing protocol [Phys. Rev. A59, 162 (1999)] (KKI protocol). By discriminating two mixed states, we derive the op-timal relationship between the induced error rate (QBER) and the maximal amount ofinformation gained by a dishonest participant. For a specific amount of eavesdropper'sknowledge on the shared secret that we consider, the disturbance on the quantum statein terms of QBER is actually larger for the hybrid protocol than the KKI protocol.Therefore, the hybrid protocol appears to be better able to detect eavesdroppers thanthe KKI protocol. For this reason, we do not see any reason to employ the KKI protocolagainst individual attacks.