3 papers
quant-ph2026
Arnold--Nielsen Geometry for Complexity-Deformed Noncommutative Transport
Alberto Acevedo, Antonio Falcó
We deform the Carlen--Maas--Wirth framework for noncommutative dynamical optimal transport by an Arnold--Nielsen type complexity operator. A positive state-independent operator …
quant-ph2025
Geometric Measures of Complexity for Open and Closed Quantum Systems
Alberto Acevedo, Antonio Falco
The unitary dynamics of quantum systems can be modeled as a trajectory on a Riemannian manifold. This theoretical framework naturally yields a purely geometric interpretation of co…
quant-ph2025
Finite-time quantum equilibration for continuous variables
Alberto Acevedo, Antonio Falco
Leveraging the techniques found in the literature on Quantum Equilibration for finite dimensional systems, we develop the theory of Quantum Equilibration for the case of infinite-d…