Quantum walks, the quantum mechanical counterpart of classical random walks, is an
advanced tool for building quantum algorithms that has been recently shown to constitute a …

Quantum random walk is the quantum counterpart of a classical random walk. The classical
random walk concept has long been used as a computational framework for designing …

Full control over the dynamics of interacting, indistinguishable quantum particles is an
important prerequisite for the experimental study of strongly correlated quantum matter and …

A quantum walk is a time-homogeneous quantum-mechanical process on a graph defined
by analogy to classical random walk. The quantum walker is a particle that moves from a …

Discretizing spacetime is often a natural step towards modelling physical systems. For
quantum systems, if we also demand a strict bound on the speed of information propagation …

Quantum cellular automata are arrays of identical finite-dimensional quantum systems,
evolving in discrete-time steps by iterating a unitary operator G. Moreover the global …

We report on the experimental realization of electric quantum walks, which mimic the effect
of an electric field on a charged particle in a lattice. Starting from a textbook implementation …

Control over the motional degrees of freedom of atoms, ions, and molecules in a field-free
environment enables unrivalled measurement accuracies but has yet to be applied to highly …

We consider quantum dynamical systems specified by a unitary operator U and an initial
state vector ϕ. In each step the unitary is followed by a projective measurement checking …

We study one-dimensional quantum walks in a homogenous electric field. The field is given
by a phase which depends linearly on position and is applied after each step. The long time …