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 …

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 …

We theoretically study a one-dimensional (1D) mutually incommensurate bichromatic lattice
system, which has been implemented in ultracold atoms to study quantum localization. It has …

Discrete-time quantum walks have been shown to simulate all known topological phases in
one and two dimensions. Being periodically driven quantum systems, their topological …

We investigate one-dimensional (1D) discrete-time quantum walks (QWs) with spatially or
temporally random defects as a consequence of interactions with random environments. We …

Quantum walks, whose dynamics is prescribed by alternating unitary coin and shift
operators, possess topological phases akin to those of Floquet topological insulators, driven …

The extended Harper's model, proposed by DJ Thouless in 1983, generalizes the famous
almost Mathieu operator, allowing for a wider range of lattice geometries (parametrized by …

Trapping a particle of a quantum walk on the line Page 1 PHYSICAL REVIEW A 85, 012329
(2012) Trapping a particle of a quantum walk on the line Antoni Wójcik,1 Tomasz Łuczak,2 …

We study a spin-| $\frac {1}{2} $| 1 2-particle moving on a one-dimensional lattice subject to
disorder induced by a random, space-dependent quantum coin. The discrete time evolution …

We study Anderson localization in a generalized discrete-time quantum walk—a unitary map
related to a Floquet driven quantum lattice. It is controlled by a quantum coin matrix which …