Quantum walks, the quantum mechanical counterpart of classical random walks, is an
advanced tool for building quantum algorithms that has been recently shown to constitute a …

Traffic congestion prediction (TCP) plays a vital role in intelligent transportation systems due
to its importance of traffic management. Methods for TCP have emerged greatly with the …

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 …

Random walks have been employed in virtually every science related discipline to model
everyday phenomena such as biochemical reaction pathways and DNA synapsis …

Quantum walks can be considered as a generalized version of the classical random walk.
There are two classes of quantum walks, that is, the discrete-time (or coined) and the …

Recently, quantized versions of random walks have been explored as effective elements for
quantum algorithms. In the simplest case of one dimension, the theory has remained divided …

Quantum computation, one of the latest joint ventures between physics and the theory of
computation, is a scientific field whose main goals include the development of hardware and …

The development of universal quantum computers has achieved remarkable success in
recent years, culminating with the quantum supremacy reported by Google. Now it is …

There are at least three models of discrete-time quantum walks (QWs) on graphs currently
under active development. In this work, we focus on the equivalence of two of them, known …

Quantum walks are considered in a one-dimensional random medium characterized by
static or dynamic disorder. Quantum interference for static disorder can lead to Anderson …