14 citations · 64 across the 15 of their papers we have counts for
17 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…
Boundary effects and the stability of the low energy spectrum of the AKLT model
Simone Del Vecchio, Jürg Fröhlich, Alessandro Pizzo +1
In this paper we study the low-lying spectrum of the AKLT model perturbed by small, finite-range potentials and with open boundary conditions imposed at the edges of the chain. Our…
Low energy spectrum of the XXZ model coupled to a magnetic field
Simone Del Vecchio, Jürg Fröhlich, Alessandro Pizzo +1
For a class of Hamiltonians of spin chains in a uniform external magnetic field that are small quantum perturbations of an Ising Hamiltonian, it is shown that the spectral ga…
On distributional symmetries on the CAR algebra
Vitonofrio Crismale, Simone Del Vecchio, Stefano Rossi
Spreadable, exchangeable, and rotatable states on the CAR algebra are shown to be the same.
On truncated -free Fock spaces: spectrum of position operators and shift-invariant states
Vitonofrio Crismale, Simone Del Vecchio, Stefano Rossi
The ergodic properties of the shift on both full and -truncated -free -algebras are analyzed. In particular, the shift is shown to be uniquely ergodic with respect to th…
On the monotone -algebra
Vitonofrio Crismale, Simone Del Vecchio, Stefano Rossi
The concrete monotone -algebra, that is the (unital) -algebra generated by monotone independent algebraic random variables of Bernoulli type, is characterized abstractly…
Quantum Operations on Conformal Nets
Marcel Bischoff, Simone Del Vecchio, Luca Giorgetti
On a conformal net , one can consider collections of unital completely positive maps on each local algebra , subject to natural compatibility, vacuum p…
Galois Correspondence and Fourier Analysis on Local Discrete Subfactors
Marcel Bischoff, Simone Del Vecchio, Luca Giorgetti
Discrete subfactors include a particular class of infinite index subfactors and all finite index ones. A discrete subfactor is called local when it is braided and it fulfills a com…
Relative entropy of coherent states on general CCR algebras
Henning Bostelmann, Daniela Cadamuro, Simone Del Vecchio
For a subalgebra of a generic CCR algebra, we consider the relative entropy between a general (not necessarily pure) quasifree state and a coherent excitation thereof. We give a un…
Compact Hypergroups from Discrete Subfactors
Marcel Bischoff, Simone Del Vecchio, Luca Giorgetti
Conformal inclusions of chiral conformal field theories, or more generally inclusions of quantum field theories, are described in the von Neumann algebraic setting by nets of subfa…
Local iterative block-diagonalization of gapped Hamiltonians: a new tool in singular perturbation theory
Simone Del Vecchio, Juerg Froehlich, Alessandro Pizzo +1
In this paper the local iterative Lie-Schwinger block-diagonalization method, introduced in [FP], [DFPR1], and [DFPR2] for quantum chains, is extended to higher-dimensional quantum…
Ergodic properties of the Anzai skew-product for the noncommutative torus
Simone Del Vecchio, Francesco Fidaleo, Luca Giorgetti +1
We provide a systematic study of a noncommutative extension of the classical Anzai skew-product for the cartesian product of two copies of the unit circle to the noncommutative 2-t…
Infinite index extensions of local nets and defects
Simone Del Vecchio, Luca Giorgetti
Subfactor theory provides a tool to analyze and construct extensions of Quantum Field Theories, once the latter are formulated as local nets of von Neumann algebras. We generalize…