Discrete-time quantum walks (QWs) are transportation models of single quantum particles
over a lattice. Their evolution is driven through causal and local unitary operators. QWs are a …

This book provides an overview of quantum walks, limits, and transport equations. After an
introduction to quantum computing, quantum simulation, and then symmetries, it then …

We propose a new quantum numerical scheme to control the dynamics of a quantum walker
in a two dimensional space–time grid. More specifically, we show how, introducing a …

We propose a family of discrete space-time quantum walks capable of propagating on any
arbitrary triangulations. Moreover, we also extend and generalize the duality principle …