AI 中文总结
针对星间TF-QKD网络受动态非IID轨道环境影响导致密钥率崩溃的问题，提出基于TDA的拓扑后选择方法，开发模块化仿真框架验证，在2000公里ISL下获得特定条件候选率，但完整可组合安全性证明仍不成立。
AI 中文摘要
星间链路（ISL）是全球量子网络不可或缺的骨干。双场量子密钥分发（TF-QKD）虽成功突破线性率损界限，但其极强的相位敏感性使其极易受动态、非独立同分布（non-IID）轨道环境影响。在由广义熵积累定理（GEAT）管控的可组合有限密钥分析中，传统自适应后选择启发式方法要么违反严格独立性条件，要么产生巨大的二阶惩罚，导致秘密密钥率崩溃。为克服此问题，我们提出一种仅参考的拓扑后选择预言机。通过将星座建模为细胞层（Cellular Sheaf）并应用拓扑数据分析（TDA），我们的协议仅从经典信标遥测中导出公共接受事件（Ω）。为严格验证该机制，我们开发了一个模块化仿真框架，配备随机噪声注入和显式GEAT安全账本。对2000-5000公里星间链路距离的仿真，对比了启用和禁用TDA的相同Hodge-Koopman门。在2000公里处，中位数条件候选率分别为每发射脉冲2.14×10⁻⁶和5.87×10⁻⁷比特；两种配置在3000-5000公里处均返回零。TDA在所有4788个评估窗口中均处于激活状态，但在该场景下并未扩展正候选范围。这些导出的率为条件数值候选：完整协议级可组合安全性证明仍不完整，因此全程认证可组合率为零。
英文摘要
Inter-satellite links (ISLs) are the mandatory backbone for global quantum networks. While Twin-Field Quantum Key Distribution (TF-QKD) successfully surpasses linear rate-loss bounds, its extreme phase sensitivity makes it highly vulnerable to dynamic, non-IID (Independent and Identically Distributed) orbital environments. In composable finite-key analyses governed by the Generalized Entropy Accumulation Theorem (GEAT), traditional adaptive post-selection heuristics either violate strict independence conditions or incur massive second-order penalties that collapse the secret key rate. To overcome this, we introduce a reference-only topological post-selection oracle. By modeling the constellation as a Cellular Sheaf and applying Topological Data Analysis (TDA), our protocol derives a public acceptance event ($Ω$) exclusively from classical beacon telemetry. To rigorously validate this mechanism, we develop a modular simulation framework equipped with stochastic noise injection and an explicit GEAT security ledger. Simulations across 2,000-5,000 km ISL separations compare the same Hodge-Koopman gate with TDA disabled and enabled. At 2,000 km, the median conditional candidate rates are $2.14 \times 10^{-6}$ and $5.87 \times 10^{-7}$ bit per emitted pulse, respectively; both configurations return zero at 3,000-5,000 km. TDA is active in all 4,788 evaluated windows, but does not extend the positive-candidate range in this scenario. These exported rates are conditional numerical candidates: the full protocol-level composable-security proof remains incomplete and the certified composable rate is therefore zero throughout.
Comments10 pages, 5 figures. Code and data available at Zenodo (https://zenodo.org/records/19778806)
