16 citations · 68 across the 14 of their papers we have counts for
6 papers · 1 filter
On the categorical foundations of quantum information theory: Categories and the Cramer-Rao inequality
Florio M. Ciaglia, Fabio Di Cosmo, Laura González-Bravo +2
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 theo…
Lagrangian description of Heisenberg and Landau-von Neumann equations of motion
Florio M. Ciaglia, Fabio Di Cosmo, Alberto Ibort +3
An explicit Lagrangian description is given for the Heisenberg equation on the algebra of operators of a quantum system, and for the Landau-von Neumann equation on the manifold of…
Schwinger's Picture of Quantum Mechanics IV: Composition and independence
Florio M. Ciaglia, Fabio Di Cosmo, Alberto Ibort +1
The groupoids description of Schwinger's picture of quantum mechanics is continued by discussing the closely related notions of composition of systems, subsystems, and their indepe…
Geometry from divergence functions and complex structures
Florio M. Ciaglia, Fabio Di Cosmo, Armando Figueroa +2
Motivated by the geometrical structures of quantum mechanics, we introduce an almost-complex structure on the product of any parallelizable statistical manifold …
Nonlinear Dynamics from Linear Quantum Evolutions
Florio M. Ciaglia, Fabio Di Cosmo, Armando Figueroa +5
Linear dynamics restricted to invariant submanifolds generally gives rise to nonlinear dynamics. Submanifolds in the quantum framework may emerge for several reasons: one could be…
Groupoids and Coherent states
Fabio Di Cosmo, Alberto Ibort, Giuseppe Marmo
Schwinger's algebra of selective measurements has a natural interpretation in terms of groupoids. This approach is pushed forward in this paper to show that the theory of coherent…