6 papers
Sparse-QITE: Discovering Compact Generators for Quantum Imaginary-Time Evolution via Regularization Methods
Rafael Gómez-Lurbe, Luca Ion, Alberto Acevedo +1
Quantum imaginary-time evolution (QITE) provides a systematic route to ground-state preparation, but its cost grows rapidly with the locality of the unitary approximation, for…
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 …
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 evoluti…
Adaptive time Compressed QITE (ACQ) and its geometrical interpretation
Alberto Acevedo Meléndez, Carmen G. Almudéver, Miguel Angel Garcia-March +8
Imaginary time evolution (ITE) is a well-established method for ground-state preparation, a fundamental problem in many fields such as materials science, chemistry, and optimizatio…
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…
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…