Finite-size analysis of measurement-device-independent quantum cryptography with continuous variables

摘要

We study the impact of finite-size effects on the key rate of continuous-variable (CV) measurement-deviceindependent (MDI) quantum key distribution (QKD), considering two-mode Gaussian attacks. Inspired by the parameter estimation technique developed in by Ruppert et al. [Phys. Rev. A 90, 062310 (2014)], we adapt it to study CV-MDI-QKD and, assuming realistic experimental conditions, we analyze the impact of finite-size effects on the key rate. We find that the performance of the protocol approaches the ideal one, increasing the block size, and, most importantly, that blocks between 10~6 and 10~9 data points may provide key rates ~10~(-2) bit/use over metropolitan distances.