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 …

Anderson's groundbreaking discovery that the presence of stochastic imperfections in a
crystal may result in a sudden breakdown of conductivity revolutionized our understanding …

Many systems such as social networks and biological networks take the form of complex
networks, which have a community structure. Community detection in complex networks is of …

Rogue waves are rapid and unpredictable events of exceptional amplitude reported in
various fields, such as oceanography and optics, with much of the interest being targeted …

We analyze a set of discrete-time quantum walks for which the displacements on a chain
follow binary aperiodic jumps according to three paradigmatic sequences: Fibonacci, Thue …

We present a manifestation of a Parrondo's effect in a continuous-time quantum walk
(CTQW). In our protocol we consider a CTQW in the presence of a time-dependent transition …

Recently, a generalization of a nonstandard step operator named the elephant quantum
walk (EQW) was introduced. With proper statistical distribution for the steps, that generalized …

Mobility edges (ME), separating Anderson-localized states from extended states, are known
to arise in the single-particle energy spectrum of certain one-dimensional lattices with …

We investigate the outbreak of anomalous quantum wave-function amplitudes in a one-
dimensional tight-binding lattice featuring correlated diagonal disorder. Such rogue-wave …

In quantum computing, the quantum walk search algorithm is designed for locating fixed
marked nodes within a graph. However, when multiple marked nodes exist, the conventional …