94 citations · 448 across the 40 of their papers we have counts for
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Lusin-type approximation of Sobolev by Lipschitz functions, in Gaussian and spaces
Luigi Ambrosio, Elia Bruè, Dario Trevisan
We establish new approximation results, in the sense of Lusin, of Sobolev functions by Lipschitz ones, in some classes of non-doubling metric measure structures. Our proof techniqu…
A Benamou-Brenier formulation of martingale optimal transport
Martin Huesmann, Dario Trevisan
We introduce a Benamou-Brenier formulation for the continuous-time martingale optimal transport problem as a weak length relaxation of its discrete-time counterpart. By the corresp…
The conditional Entropy Power Inequality for bosonic quantum systems
Giacomo De Palma, Dario Trevisan
We prove the conditional Entropy Power Inequality for Gaussian quantum systems. This fundamental inequality determines the minimum quantum conditional von Neumann entropy of the ou…
Multimode Gaussian optimizers for the Wehrl entropy and quantum Gaussian channels
Giacomo De Palma, Dario Trevisan, Vittorio Giovannetti
We prove in the multimode scenario a fundamental relation between the Wehrl and the von Neumann entropy, stating that the minimum Wehrl entropy among all the quantum states with a…