4 papers
quant-ph2026
Quantum Information at Infinity
L. Barbieri-Viale
We introduce the Quantum Information Space at Infinity (Quinfinity) as the inverse limit of the symbolic Quantum -Spaces , identified with th…
quant-ph2026
The Infinitesimal Structure of Quantum Information
Luca Barbieri-Viale
This paper establishes a rigorous, unified geometric framework for quantum state spaces by constructing smooth, regular embeddings into higher-order dual number algebras $\mathcal{…
math.AG2005
Formal Hodge Theory
L. Barbieri-Viale
Formal (mixed) Hodge structures FHS are introduced in such a way that the Hodge realization of Deligne's 1-motives extends to a realization from Laumon's 1-motives to formal Hodge…
math.AG2005
On the theory of 1-motives
L. Barbieri-Viale
This is an overview and a preview of the theory of "mixed motives of level 1" explaining some results, projects, ideas and indicating a bunch of problems.