论文标题

一般量子密钥分布协议的有限密钥率的数值计算

Numerical Calculations of Finite Key Rate for General Quantum Key Distribution Protocols

论文作者

George, Ian, Lin, Jie, Lütkenhaus, Norbert

论文摘要

量子密钥分布(QKD)的有限密钥分析是任何QKD实现的重要工具。尽管在有限密钥分析的框架上已经完成了许多工作,但对单个协议的应用通常依赖于简单或高度对称的特定协议,并且在小的有限维希尔伯特空间中表示。在这项工作中,我们将预先存在的可靠,高效,紧密且通用的数值方法扩展了使用Renner的安全分析框架,以计算有限维的Hilbert Space中设备依赖性QKD方案的渐近关键率到有限密钥状态。我们解释了该扩展如何保留渐近方法的可靠性,效率和紧密度。然后,我们探索示例,这些示例既说明了我们方法的通用性,又说明了参数估计和数据处理中的重要性。

Finite key analysis of quantum key distribution (QKD) is an important tool for any QKD implementation. While much work has been done on the framework of finite key analysis, the application to individual protocols often relies on the the specific protocol being simple or highly symmetric as well as represented in small finite-dimensional Hilbert spaces. In this work, we extend our pre-existing reliable, efficient, tight, and generic numerical method for calculating the asymptotic key rate of device-dependent QKD protocols in finite-dimensional Hilbert spaces to the finite key regime using the security analysis framework of Renner. We explain how this extension preserves the reliability, efficiency, and tightness of the asymptotic method. We then explore examples which illustrate both the generality of our method as well as the importance of parameter estimation and data processing within the framework.

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