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In this 47-minute lecture, Haonan Zhang from the University of South Carolina explores the concept of Ricci curvature lower bounds for quantum Markov semigroups. Recorded on May 2, 2025, at IPAM's Dynamics of Density Operators Workshop at UCLA, discover how various notions of Ricci curvature lower bounds have been developed to establish functional inequalities in quantum systems. Learn about the intertwining technique as a valuable tool for proving curvature lower bounds in specific examples. The presentation covers joint research with Melchior Wirth and Florentin Münch, offering insights into how developing the intertwining idea benefits the field of quantum mathematics.
