Finite and asymptotic key analysis for CubeSat-based BB84 QKD with elliptical beam approximation
Muskan Muskan, Arindam Dutta, Subhashish Banerjee
Abstract Quantum Key Distribution (QKD) via CubeSats presents a promising pathway for secure global communication. However, realistic modeling of the satellite-to-ground optical link remains a challenge due to beam divergence, atmospheric turbulence and finite key effects. In this work, we employed an elliptical beam approximation model for the downlink channel to more accurately characterize transmittance variations compared to conventional circular beam models. This refined approach facilitates a precise estimation of finite and asymptotic key rates under realistic weather conditions, for weak coherent pulse (WCP)-based efficient BB84 and standard BB84 protocols using two decoy states in a CubeSat-based downlink scenario. Our results reveal that the efficient BB84 protocol consistently yields higher key rates, particularly under turbulent conditions, making it more suitable for practical deployment. Additionally, we analyze probability distribution of key rate (PDR) across different zenith angles demonstrating the robustness of elliptical beam modeling for CubeSat-based QKD. This study provides an improved framework for designing realistic CubeSat-based QKD systems, bridging theoretical models and experimental feasibility.
arXiv:2501.15148•Physica Scripta•Apr 10, 2025•2 citations