Excitation transfer through interacting systems plays an important role in many areas of
physics, chemistry, and biology. The uncontrollable interaction of the transmission network …

We provide a brief survey of perfect state transfer in quantum walks on finite graphs. The
ability to transfer a quantum state from one part of a quantum computer to another is a key …

We propose new families of graphs which exhibit quantum perfect state transfer. Our
constructions are based on the join operator on graphs, its circulant generalizations, and the …

Some of the recent developments concerning the propagation of quantum correlations
across spin channels are reviewed. In particular, we focus on the improvement of the …

We report the results of an in-depth study of the role of graph topology on quantum transport
efficiency in random removal and Watts–Strogatz networks. By using four different …

Graph spectra are closely related to many applications in quantum physics: a network of
quantum particles with fixed couplings can be modelled by an underlying graph, with the …

We describe new constructions of graphs which exhibit perfect state transfer on continuous-
time quantum walks. Our constructions are based on generalizations of the double cones …

We consider an agent on a fixed but arbitrary node of a known threshold network, with the
task of detecting an unknown missing link. We obtain analytic formulas for the probability of …

A continuous-time quantum walk is investigated on complex networks with the characteristic
property of community structure, which is shared by most real-world networks. Motivated by …

This paper investigates continuous-time quantum walks on directed bipartite graphs based
on a graph's adjacency matrix. We prove that on bipartite graphs, probability transport …