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Explore a 48-minute lecture by Marvin Randig from Leipzig University discussing "Dual Block Gradient Ascent for Entropically Regularised Quantum Optimal Transport" presented at IPAM's Optimal Transport for Density Operators workshop. Delve into a block gradient ascent approach to Quantum optimal transport with entropic regularization, building on theory from Feliciangeli, Gerolin, and Portinale (2023) and Caputo, Gerolin, Monina, and Portinale (2023) that led to a Sinkhorn-like algorithm for Quantum optimal transport with convex regularisation. Discover the proof of linear convergence rate based on strong concavity of the dual functional and examine results from initial numerical experiments as referenced in arXiv:2503.17590, a joint work with Max von Renesse.
