Information geometric methods for complexity

D Felice, C Cafaro, S Mancini - Chaos: An Interdisciplinary Journal of …, 2018 - pubs.aip.org
Describing and, to a certain extent, understanding the concept of complexity has been
investigated in a variety of research fields. Various ad hoc formal definitions and …

Complexity of pure and mixed qubit geodesic paths on curved manifolds

C Cafaro, PM Alsing - Physical Review D, 2022 - APS
It is known that mixed quantum states are highly entropic states of imperfect knowledge (ie,
incomplete information) about a quantum system, while pure quantum states are states of …

Information geometric measures of complexity with applications to classical and quantum physical settings

C Cafaro, SA Ali - Foundations, 2021 - mdpi.com
Foundations | Free Full-Text | Information Geometric Measures of Complexity with Applications
to Classical and Quantum Physical Settings Next Article in Journal A Survey on Existence …

Theoretical investigations of an information geometric approach to complexity

SA Ali, C Cafaro - Reviews in Mathematical Physics, 2017 - World Scientific
It is known that statistical model selection as well as identification of dynamical equations
from available data are both very challenging tasks. Physical systems behave according to …

An information geometric perspective on the complexity of macroscopic predictions arising from incomplete information

SA Ali, C Cafaro, S Gassner… - Advances in Mathematical …, 2018 - Wiley Online Library
Motivated by the presence of deep connections among dynamical equations, experimental
data, physical systems, and statistical modeling, we report on a series of findings uncovered …