27 citations · 68 across the 11 of their papers we have counts for
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math-ph2022★ 8 cited
Parametric models and information geometry on W*-algebras
Florio M. Ciaglia, Fabio Di Nocera, Jürgen Jost +1
We introduce the notion of smooth parametric model of normal positive linear functionals on possibly infinite-dimensional W*-algebras generalizing the notions of parametric models…
math-ph2020★ 12 cited
Differential geometric aspects of parametric estimation theory for states on finite-dimensional C*-algebras
Florio M. Ciaglia, Jürgen Jost, Lorenz Schwachhöfer
A geometrical formulation of estimation theory for finite-dimensional -algebras is presented. This formulation allows to deal with the classical and quantum case in a si…
math-ph2020★ 18 cited
From the Jordan product to Riemannian geometries on classical and quantum states
Florio M. Ciaglia, Jürgen Jost, Lorenz Schwachhöfer
The Jordan product on the self-adjoint part of a finite-dimensional -algebra is shown to give rise to Riemannian metric tensors on suitable manifolds of states…