49 citations · 980 across the 80 of their papers we have counts for
21 papers · 1 filter
Quantum Groverian Geodesic Paths with Gravitational and Thermal Analogies
Carlo Cafaro, Domenico Felice, Paul M. Alsing
We present a unifying variational calculus derivation of Groverian geodesics for both quantum state vectors and quantum probability amplitudes. In the first case, we show that hori…
Information Geometric Complexity of Entropic Motion on Curved Statistical Manifolds under Different Metrizations of Probability Spaces
Steven Gassner, Carlo Cafaro
We investigate the effect of different metrizations of probability spaces on the information geometric complexity of entropic motion on curved statistical manifolds. Specifically,…
Theoretical investigations of an information geometric approach to complexity
Sean Alan Ali, Carlo Cafaro
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…
The Information Geometry of Chaos
Carlo Cafaro
We present a new theoretical information-geometric framework (IGAC, Information Geometrodynamical Approach to Chaos) suitable to characterize chaotic dynamical behavior of arbitrar…
Information geometric complexity of a trivariate Gaussian statistical model
D. Felice, C. Cafaro, S. Mancini
We evaluate the information geometric complexity of entropic motion on low-dimensional Gaussian statistical manifolds in order to quantify how difficult is making macroscopic predi…
Characterizing the Depolarizing Quantum Channel in Terms of Riemannian Geometry
Carlo Cafaro, Stefano Mancini
We explore the conceptual usefulness of Riemannian geometric tools induced by the statistical concept of distinguishability in quantifying the effect of a depolarizing channel on q…