47 citations · 180 across the 18 of their papers we have counts for
19 papers
Geometric aspects of mixed quantum states inside the Bloch sphere
Paul M. Alsing, Carlo Cafaro, Domenico Felice +1
When studying the geometry of quantum states, it is acknowledged that mixed states can be distinguished by infinitely many metrics. Unfortunately, this freedom causes metric-depend…
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…
Canonical divergence for flat -connections: Classical and Quantum
Domenico Felice, Nihat Ay
A recent canonical divergence, which is introduced on a smooth manifold endowed with a general dualistic structure , is considered for fl…
Canonical divergence for measuring classical and quantum complexity
Domenico Felice, Stefano Mancini, Nihat Ay
A new canonical divergence is put forward for generalizing an information-geometric measure of complexity for both, classical and quantum systems. On the simplex of probability mea…
Divergence functions in Information Geometry
Domenico Felice, Nihat Ay
A recently introduced canonical divergence for a dual structure is discussed in connection to other divergence functions. Finally, open…
Dynamical Systems induced by Canonical Divergence in dually flat manifolds
Domenico Felice, Nihat Ay
The principles of classical mechanics have shown that the inertial quality of mass is characterized by the kinetic energy. This, in turn, establishes the connection between geometr…
Towards a Canonical Divergence within Information Geometry
Domenico Felice, Nihat Ay
In Riemannian geometry geodesics are integral curves of the Riemannian distance gradient. We extend this classical result to the framework of Information Geometry. In particular, w…
The Volume of Two-Qubit States by Information Geometry
Milajiguli Rexiti, Domenico Felice, Stefano Mancini
Using the information geometry approach, we determine the volume of the set of two-qubit states with maximally disordered subsystems. Particular attention is devoted to the behavio…
Information geometric methods for complexity
D. Felice, C. Cafaro, S. Mancini
Research on the use of information geometry (IG) in modern physics has witnessed significant advances recently. In this review article, we report on the utilization of IG methods t…
Catching homologies by geometric entropy
D. Felice, R. Franzosi, S. Mancini +1
A geometric entropy is defined as the Riemannian volume of the parameter space of a statistical manifold associated with a given network. As such it can be a good candidate for mea…
A Study of a Nonlinear Schrödinger Equation for Optical Fibers
Domenico Felice
Non linear fiber optics concerns with the non linear optical phenomena occurring inside optical fibers. The propagation of light in single-mode fibers is governed by the one-dimens…
Hamilton-Jacobi approach to Potential Functions in Information Geometry
Florio M. Ciaglia, Fabio Di Cosmo, Domenico Felice +3
The search for a potential function allowing to reconstruct a given metric tensor and a given symmetric covariant tensor on a manifold is formulated as th…
Aspects of geodesical motion with Fisher-Rao metric: classical and quantum
Florio M. Ciaglia, Fabio Di Cosmo, Domenico Felice +3
The purpose of this article is to exploit the geometric structure of Quantum Mechanics and of statistical manifolds to study the qualitative effect that the quantum properties have…
The volume of Gaussian states by information geometry
Domenico Felice, Hà Quang Minh, Stefano Mancini
We formulate the problem of determining the volume of the set of Gaussian physical states in the framework of information geometry. That is, by considering phase space probability…
A geometric entropy detecting the Erdös-Rényi phase transition
Roberto Franzosi, Domenico Felice, Stefano Mancini +1
We propose a method to associate a differentiable Riemannian manifold to a generic many degrees of freedom discrete system which is not described by a Hamiltonian function. Then, i…
Riemannian-geometric entropy for measuring network complexity
Roberto Franzosi, Domenico Felice, Stefano Mancini +1
A central issue of the science of complex systems is the quantitative characterization of complexity. In the present work we address this issue by resorting to information geometry…
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…
Correspondence between the NLS equation for optical fibers and a class of integrable NLS equations
Domenico Felice, Luigi Barletti
The propagation of the optical field complex envelope in a single-mode fiber is governed by a one-dimensional cubic nonlinear Schrödinger equation with a loss term. We present a re…
Quantifying Networks Complexity from Information Geometry Viewpoint
Domenico Felice, Stefano Mancini, Marco Pettini
We consider a Gaussian statistical model whose parameter space is given by the variances of random variables. Underlying this model we identify networks by interpreting random vari…