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Quantum Optimal Transport Barycenters: Existence, Duality, and Gaussian Rigidity

Gerolin, Augusto et al.
arXiv (All) · Papers
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analysis-of-pdesquantum-physics
We develop a Quantum Optimal Transport (QOT) barycenter framework for quantum states, as an analog of Wasserstein barycenters~\cite{AguCar}, and establish existence and duality results for a broad class of possibly unbounded transport costs on separable Hilbert spaces. Our framework provides, in par
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