Signal propagation in complex networks drives epidemics, is responsible for information
going viral, promotes trust and facilitates moral behavior in social groups, enables the …

Quantum random walk is the quantum counterpart of a classical random walk. The classical
random walk concept has long been used as a computational framework for designing …

The arrangements of particles and forces in granular materials have a complex organization
on multiple spatial scales that range from local structures to mesoscale and system-wide …

Artificial intelligence (AI) has illuminated a clear path towards an evolving health-care
system replete with enhanced precision and computing capabilities. Medical imaging …

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 …

Quantum networks are promising tools for the implementation of long-range quantum
communication. The characterization of quantum correlations in networks and their …

Complex numbers define the relationship between entities in many situations. A canonical
example would be the off-diagonal terms in a Hamiltonian matrix in quantum physics …

In many studies, it is common to use binary (ie, unweighted) edges to examine networks of
entities that are either adjacent or not adjacent. Researchers have generalized such binary …

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 …

Empirical networks exhibit significant heterogeneity in node connections, resulting in a few
vertices playing critical roles in various scenarios, including decision-making, viral …