arXiv subjects

Francesco Bernardini

Publications and source records attributed to Francesco Bernardini.

3 recordsLinked to original sources

arXiv2025

Using Mobile Relays to Strongly Connect a Minimum-Power Network between Terminals Complying with No-Transmission Zones

We present strategies for placing a swarm of mobile relays to provide a bi-directional wireless network that connects fixed (immobile) terminals. Neither terminals nor relays are permitted to transmit into disk-shaped no-transmission zones. We assume a planar environment and that each transmission area is a disk centered at the transmitter. We seek a strongly connected network between all terminals with minimal total cost, where the cost is the sum area of the transmission disks. Results for networks with increasing levels of complexity are provided. The solutions for local networks containing low numbers of relays and terminals are applied to larger networks. For more complex networks, algorithms for a minimum-spanning tree (MST) based procedure are implemented to reduce the solution cost. A procedure to characterize and determine the possible homotopies of a system of terminals and obstacles is described, and used to initialize the evolution of the network under the presented algorithms.

cs.NI↗

arXiv2023

Quantum computing with trapped ions: a beginner's guide

This pedagogical article elucidates the fundamentals of trapped-ion quantum computing, which is one of the potential platforms for constructing a scalable quantum computer. The evaluation of a trapped-ion system's viability for quantum computing is conducted in accordance with DiVincenzo's criteria.

quant-ph↗

arXiv2011

Effective chiral Lagrangians for new vector bosons to O(p^4) order

If the SM Higgs boson does not exist, electroweak symmetry breaking may be realized via a strong interaction with a typical scale Lambda > 1 TeV. Resonances from the strong sector may help to unitarize WW scattering, which becomes strong in the absence of an Higgs field, and could be detected at the LHC. In this paper we describe such a scenario, in the minimal case in which only one new vector resonance is present, via a chiral SU(2) x SU(2)/SU(2) lagrangian also including all possible invariant terms up to O(p^4) order (assuming a parity symmetry in the strong sector). The O(p^4) invariants are not usually taken into account in similar studies in the literature; however, they have been shown to be potentially important, at least, to reconcile this kind of scheme with electroweak precision tests. Here we use the O(p^4) lagrangian to study the scattering amplitudes for the pi pi sector, investigating the partial wave unitarity properties of the model and its cut-off energy scale. We obtain constraints on the parameter space and compare our result to the one obtained with just the O(p^2) lagrangian, finding that the contribution of the new operators is indeed significant.

hep-ph↗