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 …

We address the time evolution of quantum correlations (QCs) such as entanglement, purity,
and coherence for a model of two non-interacting qubits initially prepared as a maximally …

All quantum systems are subject to noise and imperfections due to stray fields,
inhomogeneities or drifting experimental controls. An understanding of the effects of noise …

Quantum coherence, the physical property underlying fundamental phenomena such as
multi-particle interference and entanglement, has emerged as a valuable resource upon …

We study the transport properties of quantum 1D systems under strong monitoring. The
quantum Zeno effect inhibits transport and induces localization. Beyond the Zeno freezing …

We address quantum spatial search on graphs and its implementation by continuous-time
quantum walks in the presence of dynamical noise. In particular, we focus on search on the …

We address continuous-time quantum walks on graphs in the presence of time-and space-
dependent noise. Noise is modeled as generalized dynamical percolation, ie, classical time …

Non-Markovian quantum effects are typically observed in systems interacting with structured
reservoirs. Discrete-time quantum walks are prime example of such systems in which …

We address memory effects and diffusive properties of a continuous-time quantum walk on a
one-dimensional percolation lattice affected by spatially correlated random telegraph noise …

We put forward the idea of lattice quantum magnetometry, ie, quantum sensing of magnetic
fields by a charged (spinless) particle placed on a finite two-dimensional lattice. In particular …