41 citations · 107 across the 13 of their papers we have counts for
17 papers
Universal linear manipulation via routing and projective measurements
Alessio Baldazzi, Sonia Mazzucchi, Lorenzo Pavesi
Multiport interferometers with ports are basic devices in both classical and quantum photonics. Ideally, they implement a linear unitary transformation between the input and ou…
A resource-efficient and noise-robust entanglement witness based on the swap test
Sebastiano Guaraldo, Sonia Mazzucchi, Alessio Baldazzi +2
Quantum entanglement is an essential resource for quantum technologies, and the controlled swap test provides a versatile tool for its detection and quantification. Here, we propos…
Feynman path integrals on compact Lie groups with bi-invariant Riemannian metrics
Nicoló Drago, Sonia Mazzucchi, Valter Moretti
In this work we consider a suitable generalization of the Feynman path integral on a specific class of Riemannian manifolds consisting of compact Lie groups with bi-invariant Riema…
Generation of quantum-certified random numbers using on-chip path-entangled single photons from an LED
Nicolò Leone, Stefano Azzini, Sonia Mazzucchi +7
Single-photon entanglement is a peculiar type of entanglement in which two or more degrees of freedom of a single photon are correlated quantum-mechanically. Here, we demonstrate a…
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…
Certified quantum random number generator based on single-photon entanglement
Nicolò Leone, Stefano Azzini, Sonia Mazzucchi +2
Quantum entanglement represents an ideal resource to guarantee the security of random numbers employed in many scientific and cryptographic applications. However, entanglement-base…
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…
Chernoff approximations of Feller semigroups in Riemannian manifolds
Sonia Mazzucchi, Valter Moretti, Ivan Remizov +1
Chernoff approximations of Feller semigroups and the associated diffusion processes in Riemannian manifolds are studied. The manifolds are assumed to be of bounded geometry, thus i…
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…
Probabilistic representation formula for the solution of fractional high order heat-type equations
Stefano Bonaccorsi, Mirko D'Ovidio, Sonia Mazzucchi
We propose a probabilistic construction for the solution of a general class of fractional high order heat-type equations in the one-dimensional case, by using a sequence of random…
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…
Peano on definition of surface area
Gabriele H. Greco, Sonia Mazzucchi, Enrico M. Pagani
In this paper we investigate the evolution of the concept of area in Peano's works, taking into account the main role played by Grassmann's geometric-vector calculus and Peano's th…
A unified approach to infinite dimensional integration
Sergio Albeverio, Sonia Mazzucchi
An approach to infinite dimensional integration which unifies the case of oscillatory integrals and the case of probabilistic type integrals is presented. It provides a truly infin…
Infinite dimensional oscillatory integrals with polynomial phase and applications to high order heat-type equations
Sonia Mazzucchi
The definition of infinite dimensional Fresnel integrals is generalized to the case of polynomial phase functions of any degree and applied to the construction of a functional inte…
Peano on derivative of measures, strict derivative of distributive set functions
Gabriele H. Greco, Sonia Mazzucchi, Enrico M. Pagani
By retracing research on coexistent magnitudes (grandeurs coexistantes) by Cauchy (1841), Peano in "Applicazioni geometriche del calcolo infinitesimale" (1887) defines the "density…
On the Observables Describing a Quantum Reference Frame
S. Mazzucchi
A reference frame F is described by the element g of the Poincare' group P which connects F with a given fixed frame F_0. If F is a quantum frame, defined by a physical object foll…