[HTML][HTML] Groupoid and algebra of the infinite quantum spin chain

FM Ciaglia, F Di Cosmo, P Facchi, A Ibort… - Journal of Geometry and …, 2023 - Elsevier
It is well known that certain features of a quantum theory cannot be described in the
standard picture on a Hilbert space. In particular, this happens when we try to formally frame …

Causality in Schwinger's picture of Quantum Mechanics

FM Ciaglia, F Di Cosmo, A Ibort, G Marmo, L Schiavone… - Entropy, 2022 - mdpi.com
This paper begins the study of the relation between causality and quantum mechanics,
taking advantage of the groupoidal description of quantum mechanical systems inspired by …

[HTML][HTML] The groupoidal picture of quantum mechanics

FM Ciaglia, F Di Cosmo, A Ibort, G Marmo - Journal of Geometry and …, 2024 - Elsevier
The basic ingredients of the groupoid interpretation of Quantum Mechanics are discussed.
Starting with the motivation to consider measure groupoids as the appropriate statistical and …

Quantum tomography and Schwinger's picture of quantum mechanics

FM Ciaglia, F Di Cosmo, A Ibort… - Journal of Physics A …, 2022 - iopscience.iop.org
In this paper the problem of tomographic reconstruction of states is investigated within the so-
called Schwinger's picture of quantum mechanics in which a groupoid is associated with …

Asymptotic dynamics of open quantum systems and modular theory

D Amato, P Facchi, A Konderak - INdAM Meeting: Quantum Mathematics …, 2022 - Springer
In this Article, several aspects of the asymptotic dynamics of finite-dimensional open
quantum systems are explored. First, after recalling a structure theorem for the peripheral …

Symplectic realizations and Lie groupoids in Poisson Electrodynamics

F Di Cosmo, A Ibort, G Marmo, P Vitale - arXiv preprint arXiv:2312.16308, 2023 - arxiv.org
We define the gauge potentials of Poisson electrodynamics as sections of a symplectic
realization of the spacetime manifold and infinitesimal gauge transformations as a …

[HTML][HTML] A Lagrangian path integral approach to the qubit

A Ibort, M Jiménez-Vázquez - The European Physical Journal Plus, 2024 - Springer
A Lagrangian description of the qubit based on Schwinger's picture of Quantum Mechanics
that allows for a Feynman-like computation of its probability amplitudes is presented. The …

On the asymptotic dynamics of open quantum systems

D Amato, P Facchi, A Konderak - arXiv preprint arXiv:2210.14548, 2022 - arxiv.org
In this article, several aspects of the asymptotic dynamics of finite-dimensional open
quantum systems are explored. First, after recalling a structure theorem for the peripheral …

The categorical foundations of quantum information theory: Categories and the Cramer–Rao inequality

FM Ciaglia, F Di Cosmo, L González-Bravo… - … Physics Letters A, 2023 - World Scientific
An extension of Cencov's categorical description of classical inference theory to the domain
of quantum systems is presented. It provides a novel categorical foundation to the theory of …

Dynamical maps and symmetroids

FM Ciaglia, F Di Cosmo, A Ibort… - Open Systems & …, 2021 - World Scientific
Starting from the canonical symmetroid 𝒮 (G) associated with a groupoid G, the issue of
describing dynamical maps in the groupoidal approach to quantum mechanics is …