最大量子泄漏：操作解释与量子信道分析
Maximal quantum leakage: operational interpretation and quantum channel analysis
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中文总结 AI 辅助
研究最大量子泄漏，证明其计算等同于特定量子态判别，给出操作解释。分析集体测量影响，明确渐近极限下最大泄漏。扩展到量子信道，开发迭代算法并通过数值示例验证，解决计算难题并刻画最大泄漏特性。
中文摘要 AI 辅助
最大量子泄漏量化了对具有任意意图对手的隐私性。本文证明计算此泄漏等同于具有相等先验概率的最小错误量子态判别，建立了可计算的操作解释，解决了此前计算最大量子泄漏的困难。进一步分析集体测量对态的多个副本的影响，表明泄漏随副本数单调增加，从而明确了渐近极限下的最大泄漏。将此框架扩展到量子信道，开发了用于联合设计输入态和测量的迭代算法。涉及集体测量和最大信道泄漏的数值示例证明了理论发现。
英文摘要
Maximal quantum leakage quantifies privacy against adversaries with arbitrary intentions. In this work, we prove that computing this leakage is equivalent to minimum-error quantum state discrimination with equal priors. This establishes a computable operational interpretation, addressing the previous difficulty in computing maximal quantum leakage. We further analyze the impact of collective measurements on multiple copies of a state, demonstrating that leakage increases monotonically with the number of copies, which leads to explicitly characterizing the maximal leakage in the asymptotic limit. Extending this framework to quantum channels, we develop an iterative algorithm for the jointly designing of input states and measurements. Numerical examples involving collective measurements and the maximal channel leakage demonstrate our theoretical findings.
