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FVQKD: A Formal Verification of Quantum Key Distribution Security in Rocq

Ruixuan Deng, Zhengfeng Ji, Jiayu Zhang, Li Zhou · 2026 · arXiv

DOI: 10.48550/arXiv.2610.30645 · open-access PDF

Spanish

La distribución de claves cuánticas (QKD), cuya seguridad se deriva de la mecánica cuántica en lugar de suposiciones computacionales, se está moviendo hacia la estandarización y el despliegue comercial. Sin embargo, sus garantías de seguridad se basan en pruebas técnicamente delicadas verificadas a mano. La verificación formal cierra esta brecha, estableciendo una garantía de dos factores: seguridad incondicional de principios físicos y pruebas controladas por máquina contra errores de razonamiento. Presentamos FVQKD, una biblioteca Rocq para la verificación automática de pruebas de seguridad de QKD. Su primer resultado es una prueba completa, de fin a fin, controlada por máquina de la compostabilidad, clave finita.

Machine translation (Meta M2M100); the English original follows.

Abstract

Quantum key distribution (QKD), whose security is derived from quantum mechanics rather than computational assumptions, is moving into standardization and commercial deployment. Yet its security guarantees rest on technically delicate proofs checked by hand. Formal verification closes this gap, establishing a two-factor assurance: unconditional security from physical principles, and machine-checked proofs against reasoning errors. We present FVQKD, a Rocq library for machine-checking QKD security proofs. Its first result is a complete, end-to-end machine-checked proof of composable, finite-key

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