| dc.description.abstract | Over the last two decades quantum walks have proven to be a very useful concept in quantum
information processing, quantum communication and quantum simulations. The presented
thesis reviews our contribution to this field of research. We provide a thorough introduction
to methods used for the study of quantum walks and their potential applications. To keep
the presentation intelligible we focus on specific examples. In particular, we analyze in detail
the properties of homogeneous quantum walks on a one-dimensional lattice with two and
three internal states. The application of the obtained results is illustrated on the examples
persistence of unvisited sites and quantum transport to an absorbing sink. We also discuss
quantum walks on finite graphs and their applications to quantum search and perfect state
transfer. Extension of the presented results, which can be found in enclosed published papers,
is discussed in detail. | en |
