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arXiv 2008.03510quant-ph
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广义高维量子密钥分发的紧有限密钥分析

Tight finite-key analysis for generalized high-dimensional quantum key distribution

Rong Wang, Zhen-Qiang Yin, Hang Liu, Shuang Wang, Wei Chen, Guang-Can Guo, Zheng-Fu Han

摘要:

高维量子密钥分发由于具有容错能力强、每次可产生更多的密钥比特等优点而受到广泛关注。尽管在高维量子密钥分发方面取得了很大进展,但理论与实验之间仍存在一定差距。其中之一是密钥的安全性在很大程度上取决于发射信号的数量。到目前为止,现有的安全性证明仅适用于无限或不切实际的大量发射信号的情况。本文通过引入“密钥分类”的思想,并基于光滑熵的不确定性关系发展相关技术,提出了一种适用于广义高维量子密钥分发协议的紧有限密钥分析方法.利用该理论,有限资源下的高维量子密钥分发协议在实验上是可行的。

英文摘要:

Due to the capability of tolerating high error rate and generating more key bits per trial, high-dimensional quantum key distribution attracts wide interest. Despite great progresses in high-dimensional quantum key distribution, there are still some gaps between theory and experiment. One of these is that the security of the secret key heavily depends on the number of the emitted signals. So far, the existing security proofs are only suitable in the case with an infinite or unpractically large number of emitted signals. Here, by introducing the idea of "key classification" and developing relevant techniques based on the uncertainty relation for smooth entropies, we propose a tight finite-key analysis suitable for generalized high-dimensional quantum key distribution protocols. Benefitting from our theory, high-dimensional quantum key distribution protocols with finite resources become experimentally feasible.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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