38 citations · 104 across the 17 of their papers we have counts for
17 papers
Limits of Stochastic Semigroups and Block-Triangular Majorisation
Fabio Deelan Cunden, Jakub Czartowski, Giovanni Gramegna +1
We investigate limits of semigroups of stochastic matrices defined by their invariant distribution. Given probability vectors depending on a parameter , we introduce a no…
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…
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…
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…
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…
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…
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 ra…
On the capacity of a quantum perceptron for storing biased patterns
Fabio Benatti, Giovanni Gramegna, Stefano Mancini +1
Although different architectures of quantum perceptrons have been recently put forward, the capabilities of such quantum devices versus their classical counterparts remain debated.…
Principles of quantum functional testing
Nadia Milazzo, Olivier Giraud, Giovanni Gramegna +1
With increasing commercial availability of quantum information processing devices the need for testing them efficiently for their specified functionality will arise. Complete quant…
Pattern capacity of a single quantum perceptron
Fabio Benatti, Giovanni Gramegna, Stefano Mancini
Recent developments in Quantum Machine Learning have seen the introduction of several models to generalize the classical perceptron to the quantum regime. The capabilities of these…
One bound to rule them all: from Adiabatic to Zeno
Daniel Burgarth, Paolo Facchi, Giovanni Gramegna +1
We derive a universal nonperturbative bound on the distance between unitary evolutions generated by time-dependent Hamiltonians in terms of the difference of their integral actions…
Entropy of quantum states
Paolo Facchi, Giovanni Gramegna, Arturo Konderak
Given the algebra of observables of a quantum system subject to selection rules, a state can be represented by different density matrices. As a result, different von Neumann entrop…
Generic aspects of the resource theory of quantum coherence
Fabio Deelan Cunden, Paolo Facchi, Giuseppe Florio +1
The class of incoherent operations induces a pre-order on the set of quantum pure states, defined by the possibility of converting one state into the other by transformations withi…
Heisenberg scaling precision in multi-mode distributed quantum metrology
Giovanni Gramegna, Danilo Triggiani, Paolo Facchi +2
We propose an -photon Gaussian measurement scheme which allows the estimation of a parameter encoded into a multi-port interferometer with a Heisenberg scaling precision (i.…
Typicality of Heisenberg scaling precision in multi-mode quantum metrology
Giovanni Gramegna, Danilo Triggiani, Paolo Facchi +2
We propose a measurement setup reaching Heisenberg scaling precision for the estimation of any distributed parameter (not necessarily a phase) encoded into a generic -port l…
Volume of the set of LOCC-convertible quantum states
Fabio Deelan Cunden, Paolo Facchi, Giuseppe Florio +1
The class of quantum operations known as Local Operations and Classical Communication (LOCC) induces a partial ordering on quantum states. We present the results of systematic nume…
Generalized Product Formulas and Quantum Control
Daniel Burgarth, Paolo Facchi, Giovanni Gramegna +1
We study the quantum evolution under the combined action of the exponentials of two not necessarily commuting operators. We consider the limit in which the two evolutions alternate…