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Optical Engineering

Comprehensive performance analysis of satellite-to-ground FSO/QKD systems using key retransmission

Nam D. Nguyen, Hien T. T. Pham, Vuong V. Mai, Ngoc The Dang

Published Dec 3, 2020• 5 citations
Publisher

Abstract

We propose to investigate the performance of a satellite-to-ground quantum key distribution (QKD) system that uses key retransmission as a method for improving the system reliability. We develop analytical frameworks based on two three-dimensional Markov chain models allowing us to comprehensively analyze the proposed system’s performance in terms of key loss rate, link utilization, and delay outage rate. Our performance analysis takes into account the physical layer impairments induced by free-space optical channel and receiver noise. Numerical results quantitatively demonstrate that the performance of satellite-to-ground QKD system is significantly improved due to key retransmission. In addition, the appropriate selection of system parameters corresponding to different turbulence conditions to achieve the best performance improvement is also provided.

DOI
10.1117/1.oe.59.12.126102

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Abstract Quantum Key Distribution (QKD) provides information-theoretic security for future communication networks by exploiting the fundamental principles of quantum mechanics. However, satellite-to-ground QKD links suffer significant performance degradation due to atmospheric turbulence, absorption, scattering, and satellite-induced pointing errors. This paper investigates the BB84 QKD protocol over a Free-Space Optical (FSO) channel modeled using the Gamma–Gamma distribution, which accurately captures both small-scale and large-scale atmospheric irradiance fluctuations. Closed-form and numerical results for outage probability and Quantum Bit Error Rate (QBER) are presented under weak, moderate, and strong turbulence regimes. The Secure Key Rate (SKR) is analyzed as a function of link distance under clear and foggy weather conditions. Additionally, the impact of satellite vibration is evaluated using a jitter-dependent pointing error model, demonstrating that misalignment significantly reduces link reliability. Simulation results show that strong turbulence conditions introduce more than 15 dB SNR penalty compared to clear-sky operation, while haze conditions limit QKD range to under 8–10 km. These findings provide practical performance benchmarks for Low-Earth Orbit (LEO) quantum downlinks in realistic atmospheric environments. The results provide practical insights for electronic receiver design and system implementation of satellite quantum communication links.
Satellite QKD/FSO systems, which facilitate quantum key distribution (QKD) over free-space optical (FSO) links between satellites and ground stations, present a promising pathway toward achieving global security in upcoming sixth-generation (6G) wireless communications. Our study focuses on a superior type of these systems, the satellite EB/CV-QKD/FSO, which utilizes the continuous-variable (CV) method for quantum state representation and the entanglement-based (EB) scheme for QKD implementation. We propose the use of optical phase-shift keying (QPSK) signaling and dual-threshold/heterodyne detection (DT/HD) receivers to bolster the reliability and feasibility of satellite EB/CV-QKD/FSO systems. Closed-form expressions for key system performance metrics are derived using improved channel modeling. Numerical results are presented to showcase the effects of channel impairments on the system performance. We also provide recommendations for optimal system setup parameters, aiming to enhance performance.
Entanglement-based quantum key distribution (QKD) protocols, such as E91 and BBM92, offer strong information-theoretic security and are naturally suited for satellite-to-satellite QKD (SatQKD) links. However, implementing these protocols over long-distance inter-satellite free-space optical (FSO) channels poses critical physical-layer challenges that are not addressed in the existing literature. In particular, photon losses due to beam divergence, pointing errors, and background noise can severely degrade the key generation rate and quantum bit error rate (QBER), especially under narrow receiver field-of-view (FoV) constraints. This paper presents a comprehensive performance analysis of entanglement-based inter-satellite QKD, focusing on photon-level modeling and the impact of practical impairments. We develop analytical expressions for signal detection probabilities, background photon influence, multi-pair emissions, and QBER, incorporating key parameters such as link distance, transmitter tracking jitter, receiver misalignment, and photon pair generation rate. Simulation results reveal the nonlinear sensitivity of system performance to tracking error and FoV limitations, and highlight optimal parameter regimes that jointly maximize secret key rate while maintaining QBER below acceptable thresholds. The proposed model provides actionable design insights for reliable and efficient deployment of entanglement-based SatQKD systems.
Satellite FSO/QKD systems employ free-space optical links between satellites and ground stations to achieve long-distance quantum key distribution. However, these systems face challenges from atmospheric turbulence. This paper introduces a theoretical framework to evaluate the influence of phase fluctuations caused by atmospheric turbulence on the system performance. Mathematical expressions for key performance metrics are derived and validated through Monte- Carlo simulations. Using results from the framework, we provide a recommended system setup to fulfil the QKD performance requirements under different atmospheric turbulence conditions.
This study investigates the performance of mode-pairing quantum key distribution (MP-QKD) over satellite-to-ground free-space channels. A nonuniform atmospheric transmission model is adopted to characterize key loss mechanisms, including turbulence, aerosol scattering, solar interference, and platform-induced beam jitter. Numerical simulations quantify the secret key rate under varying zenith angles and environmental conditions. Results show that increasing zenith angle significantly degrades the key rate because the longer optical path aggravates propagation loss and atmospheric impairment. Under identical atmospheric conditions, nighttime achieves a higher key rate than daytime, mainly because negligible solar interference leads to lower background-photon counts and a reduced QBER. Within the present simplified model, increasing the maximum pairing interval l improves the key rate, although the gain gradually saturates. These findings provide a performance evaluation of MP-QKD in a representative satellite-to-ground free-space configuration and offer practical guidance for parameter selection, environmental-sensitivity analysis, and robust system design.