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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…
math-ph2026
Quantum thermodynamics and semidefinite programming: regularization and algorithms
Emanuele Caputo, Augusto Gerolin, Nataliia Monina +2
We investigate variational problems in quantum thermodynamics at positive temperature, in which admissible states are constrained by prescribed outcomes of a finite set of measurem…