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quant-ph2026
Quantum Optimal Transport Barycenters: Existence, Duality, and Gaussian Rigidity
Augusto Gerolin, Zhiyi Lin
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 res…
quant-ph2025
Quantum Wasserstein distance for Gaussian states
Anaelle Hertz, Mohammad Ahmadpoor, Oleksandr Dzhenzherov +2
Optimal transport between classical probability distributions has been proven useful in areas such as machine learning and random combinatorial optimization. Quantum optimal transp…