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 …

Quantum walks are a well-established model for the study of coherent transport phenomena
and provide a universal platform in quantum information theory. Dynamically influencing the …

We study source-to-sink excitation transport on carbon nanotubes using the concept of
quantum walks. In particular, we focus on transport properties of Grover coined quantum …

We present an alternative definition of discrete-time coined quantum walks convenient for
capturing a rather broad spectrum of a walker's behavior on arbitrary graphs. It includes and …

Quantum walks exhibit properties without classical analogues. One of those is the
phenomenon of asymptotic trap**—there can be nonzero probability of the quantum …

We study electric quantum walks in two dimensions considering Grover, alternate,
Hadamard, and discrete Fourier transform (DFT) quantum walks. In the Grover walk, the …

Discrete time quantum walks (DTQWs) are nontrivial generalizations of random walks with a
broad scope of applications. In particular, they can be used as computational primitives, and …

Randomly breaking connections in a graph alters its transport properties, a model used to
describe percolation. In the case of quantum walks, dynamic percolation graphs represent a …

Asymptotic dynamics of a Hadamard walk of two non-interacting quantum particles on a
dynamically percolated finite line or a circle is investigated. We construct a basis of the …

One of the unique features of discrete-time quantum walks is called trap**, meaning the
inability of the quantum walker to completely escape from its initial position, although the …