講座人簡(jiǎn)介:

香港中文大學(xué)（深圳）數(shù)據(jù)科學(xué)學(xué)院助理教授、校長(zhǎng)青年學(xué)者。此前，方教授于 2020 至 2023 年擔(dān)任百度量子計(jì)算研究所資深研究員，2018 至 2020 年分別在英國(guó)劍橋大學(xué)和加拿大滑鐵盧大學(xué)擔(dān)任博士后研究員。于 2018 年獲得悉尼科技大學(xué)量子信息方向博士學(xué)位，于 2015 年獲得武漢大學(xué)數(shù)學(xué)學(xué)士學(xué)位。方教授于 2022 年入選北京市高層次留學(xué)人才回國(guó)資助項(xiàng)目，現(xiàn)主持國(guó)家自然科學(xué)基金重大研究計(jì)劃（培育）項(xiàng)目和青年項(xiàng)目（C 類(lèi)）、深圳市面上項(xiàng)目等。截至目前，在 Nature Physics, Physical Review Letters，PRX Quantum，Communications in Mathematical Physics，IEEE Transactions on Information Theory，Mathematical Programming 等物理、數(shù)學(xué)、計(jì)算機(jī)以及運(yùn)籌優(yōu)化領(lǐng)域的國(guó)際頂級(jí)學(xué)術(shù)期刊和會(huì)議發(fā)表論文二十余篇，在 QIP， TQC，AQIS，ISIT，ICCOPT 等國(guó)際頂級(jí)學(xué)術(shù)會(huì)議上完成正式報(bào)告二十余次。自 2021 年起，方教授完成六十余項(xiàng)國(guó)內(nèi)外技術(shù)專(zhuān)利申請(qǐng)，其中五十余項(xiàng)已獲得授權(quán)。

講座簡(jiǎn)介：

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.