5 papers
Entropy certification of a realistic QRNG based on single-particle entanglement
Sonia Mazzucchi, Nicolò Leone, Stefano Azzini +2
In single-particle entanglement (SPE) two degrees of freedom of a single particle are entangled. SPE is a resource that can be exploited both in quantum communication protocols and…
Bell inequality violation by entangled single photon states generated from a laser, a LED or a Halogen lamp
M. Pasini, N. Leone, S. Mazzucchi +3
In single-particle or intraparticle entanglement, two degrees of freedom of a single particle, e.g., momentum and polarization of a single photon, are entangled. Single-particle en…
A rigorous mathematical construction of Feynman path integrals for the Schrödinger equation with magnetic field
Sergio Albeverio, Nicolò Cangiotti, Sonia Mazzucchi
A Feynman path integral formula for the Schrödinger equation with magnetic field is rigorously mathematically realized in terms of infinite dimensional oscillatory integrals. We sh…
Notes on the Ogawa integrability and a condition for convergence in the multidimensional case
Nicolò Cangiotti, Sonia Mazzucchi
The Ogawa stochastic integral is shortly reviewed and formulated in the framework of abstract Wiener spaces. The condition of universal Ogawa integrability in the multidimensional…
An Itô calculus for a class of limit processes arising from random walks on the complex plane
Stefano Bonaccorsi, Craig Calcaterra, Sonia Mazzucchi
Within the framework of the previous paper [8]. we develop a generalized stochastic calculus for processes associated to higher order diffusion operators. Applications to the study…