The current understanding of the role of topology in non-Hermitian (NH) systems and its far-
reaching physical consequences observable in a range of dissipative settings are reviewed …

The development of quantum walks in the context of quantum computation, as
generalisations of random walk techniques, has led rapidly to several new quantum …

Quantum walks are the quantum mechanical analog of classical random walks and an
extremely powerful tool in quantum simulations, quantum search algorithms, and even for …

Quantum walks provide a framework for designing quantum algorithms that is both intuitive
and universal. To leverage the computational power of these walks, it is important to be able …

Quantum walks are the quantum analogs of classical random walks, which allow for the
simulation of large-scale quantum many-body systems and the realization of universal …

INTRODUCTION The science of light has undergone two major revolutions over the
previous two centuries. The first—by Grimaldi, Huygens, Fresnel, Young, and Maxwell …

Quantum walks of correlated particles offer the possibility of studying large-scale quantum
interference; simulating biological, chemical, and physical systems; and providing a route to …

First predicted for quantum particles in the presence of a disordered potential, Anderson
localization is a ubiquitous effect, observed also in classical systems, arising from the …

Quantum walk represents one of the most promising resources for the simulation of physical
quantum systems, and has also emerged as an alternative to the standard circuit model for …

The quantum walk was originally proposed as a quantum-mechanical analog of the
classical random walk, and has since become a powerful tool in quantum information …