5 papers
A Dynamical Approach to Non-Commutative de Finetti Theory
Simone Del Vecchio, Stefano Rossi
We develop a dynamical framework for non-commutative de Finetti theory. We first establish the non-commutative Hewitt-Savage 0-1 law for quantum stochastic processes. We identify t…
On the Ryll-Nardzewski Theorem for Quantum Stochastic Processes
Valeriano Aiello, Simone Del Vecchio, Stefano Rossi
We prove a Ryll-Nardzewski Theorem for quantum stochastic processes, that shows that under natural assumptions which generalize the classical probability setting, the distributiona…
Weakly-monotone C*-algebras as Exel-Laca algebras
Vitonofrio Crismale, Simone Del Vecchio, Stefano Rossi +1
An abstract characterization of weakly monotone -algebras, namely the concrete -algebras generated by creators and annihilators acting on the so-called weakly monotone Fo…
Two Results in the Quantum Theory of Measurements
Simone Del Vecchio, Jürg Fröhlich, Alessandro Pizzo +1
Two theorems with applications to the quantum theory of measurements are stated and proven. The first one clarifies and amends von Neumann's Measurement Postulate used in the Copen…
Freedman's theorem for unitarily invariant states on the CCR algebra
Vitonofrio Crismale, Simone Del Vecchio, Tommaso Monni +1
The set of states on , the CCR algebra of a separable Hilbert space , is here looked at as a natural object to obtain a non-commutative version of Freedman's t…