45 citations · 101 across the 8 of their papers we have counts for
8 papers
A two-point approach to the inverse problem in information geometry
Florio M. Ciaglia, Giuseppe Marmo, Marco Pacelli +2
We formulate the inverse problem in information geometry within a two-point tensorial framework and solve it for general metric-affine manifolds, without imposing any curvature or…
Potential functions in information geometry via bi-forms
Florio M. Ciaglia, Giuseppe Marmo, Marco Pacelli +2
In this paper we develop a general framework for potentials on Lauritzen manifolds, namely smooth manifolds equipped with a pseudo-Riemannian metric and a pair of conjugate affine…
Bi-forms Approach to Potential Functions in Information Geometry
Florio M. Ciaglia, Giuseppe Marmo, Marco Pacelli +2
Contrast functions play a fundamental role in information geometry, providing a means for generating the geometric structures of a statistical manifold: a pseudo-Riemannian metric…
A groupoidal description of elementary particles
Alberto Ibort, Giuseppe Marmo, Arnau Mas +1
In this work, we show that extending the standard description of space-time symmetries from groups of isometries to the more flexible framework of kinematical groupoids allows for…
Classical Tensors and Quantum Entanglement II: Mixed States
P. Aniello, J. Clemente-Gallardo, G. Marmo +1
Invariant operator-valued tensor fields on Lie groups are considered. These define classical tensor fields on Lie groups by evaluating them on a quantum state. This particular cons…
Classical Tensors and Quantum Entanglement I: Pure States
P. Aniello, J. Clemente-Gallardo, G. Marmo +1
The geometrical description of a Hilbert space asociated with a quantum system considers a Hermitian tensor to describe the scalar inner product of vectors which are now described…
Noncommutative differential calculus for Moyal subalgebras
G. Marmo, P. Vitale, A. Zampini
We build a differential calculus for subalgebras of the Moyal algebra on R^4 starting from a redundant differential calculus on the Moyal algebra, which is suitable for reduction.…
TOPOLOGY CHANGE AND QUANTUM PHYSICS
A. P. Balachandran, G. Bimonte, G. Marmo +1
The role of topology in elementary quantum physics is discussed in detail. It is argued that attributes of classical spatial topology emerge from properties of state vectors with s…