6 papers
Maximal Minimal Spacing for Random Points
Fabio Deelan Cunden, Noemi Cuppone, Giovanni Gramegna +1
From random points on a line we wish to select points so as to maximize the minimal spacing between them. We consider an initial configuration with independent and iden…
The Most Dispersed Subset of Random Points in
Fabio Deelan Cunden, Noemi Cuppone, Giovanni Gramegna +1
Consider a population of individuals, each having different traits, and an additive measure, called dispersion, which rewards large pairwise separations between trait…
Quantum Systems with jump-discontinuous mass. I
Fabio Deelan Cunden, Giovanni Gramegna, Marilena Ligabò
We consider a free quantum particle in one dimension whose mass profile exhibits jump discontinuities. The corresponding Hamiltonian is a self-adjoint realisation of the kinetic-en…
Rotating-Wave and Secular Approximations for Open Quantum Systems
Daniel Burgarth, Paolo Facchi, Giovanni Gramegna +1
We derive a nonperturbative bound on the distance between evolutions of open quantum systems described by time-dependent generators. We show how this result can be employed to prov…
Pseudo quantum advantages in perceptron storage capacity
Fabio Benatti, Masoud Gharahi, Giovanni Gramegna +2
We investigate a generalized quantum perceptron architecture characterized by an oscillating activation function with a tunable frequency ranging from zero to infinity. Employing a…
Relative volume of comparable pairs under semigroup majorization
Fabio Deelan Cunden, Jakub Czartowski, Giovanni Gramegna +1
Any semigroup of stochastic matrices induces a semigroup majorization relation on the set of probability -vectors. Pick at r…