中国物理B ›› 2007, Vol. 16 ›› Issue (10): 2875-2879.doi: 10.1088/1009-1963/16/10/008

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A (2, 3) quantum threshold scheme based on Greenberger--Horne--Zeilinger state

李 渊, 曾贵华   

  1. Laboratory of Quantum Information and Communication Security, Department of Electronic Engineering, Shanghai Jiaotong University, Shanghai 200240, China
  • 收稿日期:2006-11-22 修回日期:2007-03-01 出版日期:2007-10-08 发布日期:2007-10-08
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No~60472018).

A (2, 3) quantum threshold scheme based on Greenberger--Horne--Zeilinger state

Li Yuan(李渊)† and Zeng Gui-Hua(曾贵华)‡   

  1. Laboratory of Quantum Information and Communication Security, Department of Electronic Engineering, Shanghai Jiaotong University, Shanghai 200240, China
  • Received:2006-11-22 Revised:2007-03-01 Online:2007-10-08 Published:2007-10-08
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No~60472018).

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摘要： In this paper, by using properties of quantum controlled-not manipulation and entanglement states, we have designed a novel (2, 3) quantum threshold scheme based on the Greenberger- Horne -Zeilinger (GHZ) state. The proposed scheme involves two phases, i.e. a secret sharing phase and a secret phase. Detailed proofs show that the proposed scheme is of unconditional security. Since the secret is shared among three participants, the proposed scheme may be applied to quantum key distribution and secret sharing.

关键词: quantum threshold, controlled-not manipulation, secret sharing, GHZ state

Abstract: In this paper, by using properties of quantum controlled-not manipulation and entanglement states, we have designed a novel (2, 3) quantum threshold scheme based on the Greenberger- Horne -Zeilinger (GHZ) state. The proposed scheme involves two phases, i.e. a secret sharing phase and a secret phase. Detailed proofs show that the proposed scheme is of unconditional security. Since the secret is shared among three participants, the proposed scheme may be applied to quantum key distribution and secret sharing.

Key words: quantum threshold, controlled-not manipulation, secret sharing, GHZ state

中图分类号:  (Entanglement and quantum nonlocality)

  • 03.65.Ud
03.67.Mn (Entanglement measures, witnesses, and other characterizations)