论文标题

具有离散相随机化的量子键分布的有限键分析

Finite-key analysis for quantum key distribution with discrete phase randomization

论文作者

Wang, Rui Qiang, yin, Zhen Qiang, Wang, Rong, Wang, Shuang, Chen, Wei, Guo, Guang can, Han, Zhen fu

论文摘要

量子密钥分布(QKD)允许两个远程各方共享信息理论的秘密密钥。许多QKD协议假设编码状态的阶段可以从0到2 PI连续进行随机分配,但是在实验中可能值得怀疑。在最近提出的双场(TF)QKD中,这种情况尤其如此,该QKD受到了很多关注,因为它可以大大提高关键率,甚至超过一些理论上的损失限制。作为一个直观的解决方案,可以引入离散的相对性化而不是连续的相关化。但是,在有限键区域中具有离散阶段随机化的QKD协议的安全性证明仍然缺失。在这里,我们开发了一种基于共轭测量和量子状态区分的技术,在这种情况下,安全性。我们的结果表明,具有合理数量离散随机阶段的TF-QKD,例如{0,pi/4,pi/2,...,7pi/4}的8个阶段可以实现令人满意的性能。更重要的是,作为有限键区域中具有离散相位随机化的TF-QKD的第一个证明,我们的方法也适用于其他QKD协议。

Quantum key distribution(QKD) allows two remote parties to share information-theoretic secret keys. Many QKD protocols assume the phase of encoding state can be continuous randomized from 0 to 2 pi, which, however, may be questionable in experiment. This is particularly the case in the recently proposed twin-field(TF) QKD, which has received a lot of attention, since it can increase key rate significantly and even beat some theoretical rate-loss limits. As an intuitive solution, one may introduce discrete phase-randomization instead of continuous one. However, a security proof for a QKD protocol with discrete phase-randomization in finite-key region is still missing. Here we develop a technique based on conjugate measurement and quantum state distinguishment to ana-lyze the security in this case. Our result shows that TF-QKD with reasonable number of discrete random phases, e.g. 8 phases from {0, pi/4, pi/2, ..., 7pi/4}, can achieve satisfactory performance. More importantly, as a the first proof for TF-QKD with discrete phase-randomization in finite-key region, our method is also applicable in other QKD protocols.

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