Abstract
The main threats for the well-known Bennett–Brassard 1984 (BB84) practical quantum key distribution (QKD) systems are that its encoding is inaccurate and measurement device may be vulnerable to particular attacks. Thus, a general physical model or security proof to tackle these loopholes simultaneously and quantitatively is highly desired. Here we give a framework on the security of BB84 when imperfect qubit encoding and vulnerability of measurement device are both considered. In our analysis, the potential attacks to measurement device are generalized by the recently proposed weak randomness model which assumes the input random numbers are partially biased depending on a hidden variable planted by an eavesdropper. And the inevitable encoding inaccuracy is also introduced here. From a fundamental view, our work reveals the potential information leakage due to encoding inaccuracy and weak randomness input. For applications, our result can be viewed as a useful tool to quantitatively evaluate the security of a practical QKD system.
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Acknowledgements
This work was supported by Foundation of Science and Technology on Communication Security Laboratory (Grant No. 6142103040105), Strategic Priority Research Program (B) of the Chinese Academy of Sciences (CAS) (XDB01030100, XDB01030300), National Key Research and Development Program of China (2016YFA0302600), and National Natural Science Foundation of China (NSFC) (61475148, 61575183).
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Zhao, LY., Yin, ZQ., Li, HW. et al. Security of BB84 with weak randomness and imperfect qubit encoding. Quantum Inf Process 17, 55 (2018). https://doi.org/10.1007/s11128-018-1830-0
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DOI: https://doi.org/10.1007/s11128-018-1830-0