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 …

This is a textbook about quantum walks and quantum search algorithms. The readers will
take advantage of the pedagogical aspects and learn the topics faster and make less effort …

Multilayer network analysis is a useful approach for studying networks of entities that interact
with each other via multiple relationships. Classifying the importance of nodes and node …

A continuous-time quantum walk (CTQW) is sedentary if the return probability in the starting
vertex is close to one at all times. Recent results imply that, when starting from a maximal …

In this work we consider a superradiant phase transition problem for the Dicke-Ising model,
which generalizes the Dicke and Ising models for annealed complex networks presuming …

Continuous-time quantum walk describes the propagation of a quantum particle (or an
excitation) evolving continuously in time on a graph. As such, it provides a natural framework …

Coherent transport of an excitation through a network corresponds to continuous-time
quantum walk on a graph, and the transport properties of the system may be radically …

In this work, the dynamics of a quantum walker on glued trees is revisited to understand the
influence of the architecture of the graph on the efficiency of the transfer between the two …

We study the quantum dynamics of a photoexcitation uniformly distributed at the periphery of
an extended star network (with NB branches of length LB). More specifically, we address …

Using a tight binding model, we investigate the dynamics of an exciton on a disordered
extended star graph whose central site acts as an energy trap. When compared with what …