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This research advances satellite-based quantum key distribution by introducing mixture martingale techniques that significantly improve statistical bounds under fluctuating channel conditions. By reducing the required number of transmitted signals by over 70%, this method enhances efficiency and robustness for non-stationary optical links without relying on fine-tuned models. The work directly addresses critical scalability challenges in deploying quantum networks via space-to-ground connections.
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Quantum Key Distribution Beyond Stationary Channels

arXiv2 min read

arXiv:2607.17690v1 Announce Type: new Abstract: Quantum key distribution (QKD) over non-stationary channels, such as satellite links, is characterized by short, high-loss, and strongly fluctuating transmission windows that produce sparse detection events. In many QKD protocols, these data must be analyzed using non-IID statistical inequalities, yet existing methods either become loose for small sample sizes or heavily rely on fine-tuning, yielding poor estimates when the optical channel is mis-modeled. Using mixture martingale techniques, we introduce tight concentration inequalities that retain sharpness when the channel model is accurate, while remaining robust to model mismatch. In realistic simulations of satellite QKD with fluctuating loss, the resulting bounds can reduce the minimum required number of transmitted signals by more than $70\%$.

Abstract:Quantum key distribution (QKD) over non-stationary channels, such as satellite links, is characterized by short, high-loss, and strongly fluctuating transmission windows that produce sparse detection events. In many QKD protocols, these data must be analyzed using non-IID statistical inequalities, yet existing methods either become loose for small sample sizes or heavily rely on fine-tuning, yielding poor estimates when the optical channel is mis-modeled. Using mixture martingale techniques, we introduce tight concentration inequalities that retain sharpness when the channel model is accurate, while remaining robust to model mismatch. In realistic simulations of satellite QKD with fluctuating loss, the resulting bounds can reduce the minimum required number of transmitted signals by more than $70\%$.

arXiv:2607.17690 [quant-ph]

(or arXiv:2607.17690v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2607.17690 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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Full text under the publisher's open licence · 203 words

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