On the Jensen–Shannon symmetrization of distances relying on abstract means
F Nielsen - Entropy, 2019 - mdpi.com
The Jensen–Shannon divergence is a renowned bounded symmetrization of the
unbounded Kullback–Leibler divergence which measures the total Kullback–Leibler …
unbounded Kullback–Leibler divergence which measures the total Kullback–Leibler …
Reviewing the geometric Hamilton–Jacobi theory concerning Jacobi and Leibniz identities
In this survey, we review the classical Hamilton–Jacobi theory from a geometric point of view
in different geometric backgrounds. We propose a Hamilton–Jacobi equation for different …
in different geometric backgrounds. We propose a Hamilton–Jacobi equation for different …
Information geometric methods for complexity
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 …
investigated in a variety of research fields. Various ad hoc formal definitions and …
Contact geometry and thermodynamics
A Bravetti - International Journal of Geometric Methods in Modern …, 2019 - World Scientific
These are the lecture notes for the course given at the “XXVII International Fall Workshop on
Geometry and Physics” held in Seville (Spain) in September 2018. We review the geometric …
Geometry and Physics” held in Seville (Spain) in September 2018. We review the geometric …
[HTML][HTML] Hamilton–Jacobi theory and integrability for autonomous and non-autonomous contact systems
In this paper, we study the integrability of contact Hamiltonian systems, both time-dependent
and independent. In order to do so, we construct a Hamilton–Jacobi theory for these systems …
and independent. In order to do so, we construct a Hamilton–Jacobi theory for these systems …
Geometric algebra and information geometry for quantum computational software
C Cafaro - Physica A: Statistical Mechanics and its Applications, 2017 - Elsevier
The art of quantum algorithm design is highly nontrivial. Grover's search algorithm
constitutes a masterpiece of quantum computational software. In this article, we use methods …
constitutes a masterpiece of quantum computational software. In this article, we use methods …
A pedagogical intrinsic approach to relative entropies as potential functions of quantum metrics: The q–z family
The so-called qz-Rényi Relative Entropies provide a huge two parameter family of relative
entropies which include almost all well-known examples of quantum relative entropies for …
entropies which include almost all well-known examples of quantum relative entropies for …
[HTML][HTML] Geometric Hamilton–Jacobi theory for systems with external forces
In this paper, we develop a Hamilton–Jacobi theory for forced Hamiltonian and Lagrangian
systems. We study the complete solutions, particularize for Rayleigh systems, and present …
systems. We study the complete solutions, particularize for Rayleigh systems, and present …
Fisher metric, geometric entanglement, and spin networks
Starting from recent results on the geometric formulation of quantum mechanics, we propose
a new information geometric characterization of entanglement for spin network states in the …
a new information geometric characterization of entanglement for spin network states in the …
Lagrangian and Hamiltonian dynamics for probabilities on the statistical bundle
We provide an Information-Geometric formulation of accelerated natural gradient on the
Riemannian manifold of probability distributions, which is an affine manifold endowed with a …
Riemannian manifold of probability distributions, which is an affine manifold endowed with a …