An almost complete picture of quantum hypothesis testing with composite correlated hypotheses

报告人：方堃（香港中文大学（深圳））

时间：Sunday, October 5, 2025, 10:00-11:00

地点：格物楼315

摘要：We study quantum hypothesis testing with composite correlated hypotheses, a general framework that encompasses scenarios where quantum states are not fully specified and may exhibit correlations beyond the i.i.d. setting. We characterize optimal performance in the error exponent, strong converse exponent, and Chernoff exponent regimes, complementing and refining existing results in the Stein exponent regime, thereby providing an almost complete picture of quantum hypothesis testing in this realistic yet challenging setting. Our results hold under minimal and broadly applicable assumptions—convexity, compactness, and stability under tensor product—conditions satisfied in most practical applications. The generality of these results makes them readily applicable across a wide range of tasks in quantum information theory.