论文标题

量子采样,以在高维量子密码学中进行乐观的有限密钥速率

Quantum Sampling for Optimistic Finite Key Rates in High Dimensional Quantum Cryptography

论文作者

Yao, Keegan, Krawec, Walter O., Zhu, Jiadong

论文摘要

最近已经显示,Bouman和FEHR引入的量子采样框架可能会导致新的熵不确定性关系高度适用于有限键的加密分析。在这里,我们重新审视这些所谓的基于采样的熵不确定性关系,从而得出了更新,更强大的关系,并将它们应用于无源的量子随机数发生器和高维量子键分布协议。一路上,我们在侵入性不确定性关系的渐近案例中证明了一些有趣的结果。这些基于抽样的熵不确定性方法及其在量子密码学上的应用,具有为量子加密系统提供安全性证明的巨大潜力,并且我们在这里使用的方法可能适用于更广泛的场景。

It has been shown recently that the framework of quantum sampling, as introduced by Bouman and Fehr, can lead to new entropic uncertainty relations highly applicable to finite-key cryptographic analyses. Here we revisit these so-called sampling-based entropic uncertainty relations, deriving newer, more powerful, relations and applying them to source-independent quantum random number generators and high-dimensional quantum key distribution protocols. Along the way, we prove several interesting results in the asymptotic case for our entropic uncertainty relations. These sampling-based approaches to entropic uncertainty, and their application to quantum cryptography, hold great potential for deriving proofs of security for quantum cryptographic systems, and the approaches we use here may be applicable to an even wider range of scenarios.

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