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 …

Higher-order networks describe the many-body interactions of a large variety of complex
systems, ranging from the the brain to collaboration networks. Simplicial complexes are …

We define the topological Dirac equation describing the evolution of a topological wave
function on networks or on simplicial complexes. On networks, the topological wave function …

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 …

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 …

From social interactions to the human brain, higher-order networks are key to describe the
underlying network geometry and topology of many complex systems. While it is well known …

Steady technological advances and recent milestones such as intercontinental quantum
communication and the first implementation of medium-scale quantum networks are paving …

Many real-world networks are embedded into a space or spacetime. The embedding space
(time) constrains the properties of these real-world networks. We use the scale-dependent …

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 …