3 papers
quant-ph2026
Geometric Complexity of Quantum Channels via Unitary Dilations
Alberto Acevedo, Antonio Falcó
Nielsen's geometric approach to quantum circuit complexity provides a Riemannian framework for quantifying the cost of implementing unitary (closed--system) dynamics. For open dyna…
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-ph2024
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…