AI 中文总结
研究量子编码扰动下最大量子泄漏的敏感性，建立其与迹距离的连续性界，推导基于保真度和相对熵的条件界定其变化，通过实例和数值说明相关情况。
AI 中文摘要
最大量子泄漏（MQL）是一种最坏情况的信息泄漏度量，用于量化对手通过任意测量访问经典数据的量子编码所获得的推理优势。虽然MQL对于给定的量子态集合有精确的表征，但其对实现缺陷的鲁棒性尚未得到系统研究。本文分析了量子编码扰动下最大量子泄漏的敏感性。我们建立了理想量子态和扰动量子态之间迹距离的连续性界，并通过一个例子表明该界是可达到的。我们还推导了基于保真度和相对熵的充分条件来界定最大量子泄漏的变化，并通过数值说明这些条件可能是宽松的。
英文摘要
Maximal quantum leakage (MQL) is a worst-case information leakage measure that quantifies an adversary's inference advantage gained from accessing quantum encoding of classical data with arbitrary measurements. While MQL admits an exact characterization for a given ensemble of quantum states, its robustness to implementation imperfections has not been systematically studied. In this paper, we analyze the sensitivity of maximal quantum leakage under perturbations of the quantum encoding. We establish a continuity bound in terms of the trace distance between ideal and perturbed quantum states, and show, via an example, that this bound is attainable. We further derive fidelity-based and relative-entropy-based sufficient conditions for bounding the variation of maximal quantum leakage, and illustrate numerically that these conditions can be loose.
CommentsAccepted for Presentation at the 65th IEEE Conference on Decision and Control (CDC 2026)
