3 papers
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…
math-ph2024
Quantum optimal transport with convex regularization
Emanuele Caputo, Augusto Gerolin, Nataliia Monina +1
The goal of this paper is to settle the study of non-commutative optimal transport problems with convex regularization, in their static and finite-dimensional formulations. We cons…
math.OC2023
Non-commutative Optimal Transport for semi-definite positive matrices
Augusto Gerolin, Nataliia Monina
We introduce the von Neumann entropy regularization of Unbalanced Non-commutative Optimal Transport, specifically Non-commutative Optimal Transport between semi-definite positive m…