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 …

Controlling transport in quantum systems holds the key to many promising quantum
technologies. Here we review the power of symmetry as a resource to manipulate quantum …

Quantum walks are at the heart of modern quantum technologies. They allow to deal with
quantum transport phenomena and are an advanced tool for constructing novel quantum …

Several models have been proposed to build evolution operators to perform quantum walks
in a theoretical way, although when wanting to map the resulting evolution operators into …

Beyond the regime of distinguishable particles, many-body quantum interferences influence
quantum transport in an intricate manner. However, symmetries of the single-particle …

We show that both fermionic and bosonic uniform d-dimensional lattices can be reduced to a
set of independent one-dimensional chains. This reduction leads to the expression for …

We study the effect of an applied magnetic field on the nonequilibrium transport properties of
a general cubic quantum network described by a tight-binding Hamiltonian with specially …

We investigate the dynamics of continuous-time two-particle quantum walks on a one-
dimensional noisy lattice. Depending on the initial condition, we show how the interplay …

We prove that the corona product of two graphs has no Laplacian perfect state transfer
whenever the first graph has at least two vertices. This complements a result of Coutinho …

We study state transfer in quantum walk on graphs relative to the adjacency matrix. Our
motivation is to understand how the addition of pendant subgraphs affect state transfer. For …