Controlling the key by choosing the detection bits in quantum cryptographic protocols

Eavesdropping detection is an indispensable process of most quantum cryptographic protocols. By publishing and comparing part of the shared bits, called as detection bits, the participants can check whether there exists an eavesdropper. Generally, the detection bits are chosen randomly. Consequently...

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Bibliographic Details
Published in:Science China. Information sciences 2015-11, Vol.58 (11), p.196-206
Main Authors: Liu, Bin, Gao, Fei, Huang, Wei, Li, Dan, Wen, QiaoYan
Format: Article
Language:English
Subjects:
Computer Science
Eavesdropping
Information Systems and Communication Service
Quantum cryptography
Research Paper
关键控制
参与者
密钥协商协议
测位
选择性检测
量子密码协议
量子密钥分配协议
随机选择
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Summary:Eavesdropping detection is an indispensable process of most quantum cryptographic protocols. By publishing and comparing part of the shared bits, called as detection bits, the participants can check whether there exists an eavesdropper. Generally, the detection bits are chosen randomly. Consequently, the secret bits, i.e., the rest bits, are also random. Then, what if the detection bits are chosen non-randomly？ Can the participant who chooses the detection bits make the secret bits to be a predetermined string he expected？This paper focuses on the participants＇ key control capability when they choose the detection bits selectively in two-party quantum communication protocols. Concretely, we analyze the participants＇ key control capability in different situations of different proportions of the detection bits. And we prove that the participants can predetermine, with high probability, any part of the secret bits of which the length is smaller than that of the detection bits. The above result has various potential applications in quantum cryptographic protocols.Obviously, utilizing this non-random selection of the detection bits, one can realize the function of a deterministic quantum key distribution protocol through a random one if the number of the detection bits is not smaller than that of the secret bits. What is more, we find that quite a few quantum key agreement protocols cannot guarantee the fairness of the key in the sense that the participant who chooses the detection bits can control the key somewhat.
ISSN:1674-733X
1869-1919
DOI:10.1007/s11432-015-5413-8