We study the impact of finite-size effects on the key rate of continuous-variable (CV) measurement-device-independent (MDI) quantum key distribution (QKD). Inspired by the parameter estimation technique developed in [Rupert \textit{et al.} Phys. Rev. A \textbf{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, increasing the block-size, the performance of the protocol converges towards the ideal one, and that block-sizes between 106 and 109 data points can already provide a key rate ∼10−2 bit/use over metropolitan distances.
@article{arxiv.1707.04599,
title = {Finite size analysis of measurement device independent quantum cryptography with continuous variables},
author = {Panagiotis Papanastasiou and Carlo Ottaviani and Stefano Pirandola},
journal= {arXiv preprint arXiv:1707.04599},
year = {2017}
}