These are exciting times for quantum physics as new quantum technologies are expected to
soon transform computing at an unprecedented level. Simultaneously network science is …

Turing theory of pattern formation is among the most popular theoretical means to account
for the variety of spatio-temporal structures observed in Nature and, for this reason, finds …

Higher-order networks can sustain topological signals which are variables associated not
only to the nodes, but also to the links, to the triangles and in general to the higher …

Molecular representations are of fundamental importance for the modeling and analysing
molecular systems. The successes in drug design and materials discovery have been …

Higher-order networks are gaining significant scientific attention due to their ability to
encode the many-body interactions present in complex systems. However, higher-order …

We propose a theoretical framework that explains how the mass of simple and higher-order
networks emerges from their topology and geometry. We use the discrete topological Dirac …

Higher-order networks are able to capture the many-body interactions present in complex
systems and to unveil fundamental phenomena revealing the rich interplay between …

Nature is a blossoming of regular structures, signature of self-organization of the underlying
microscopic interacting agents. Turing theory of pattern formation is one of the most studied …

Topological signals are dynamical variables not only defined on nodes but also on links of a
network that are gaining significant attention in non-linear dynamics and topology and have …

Gauge theories on graphs and networks are attracting increasing attention not only as
approaches to quantum gravity but also as models for performing quantum computation …