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

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