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Quantum walk and its application domains: A systematic review
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 …
random walk concept has long been used as a computational framework for designing …
Quantum walks: a comprehensive review
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 …
advanced tool for building quantum algorithms that has been recently shown to constitute a …
Mobility edges in one-dimensional bichromatic incommensurate potentials
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 …
system, which has been implemented in ultracold atoms to study quantum localization. It has …
Symmetries, topological phases, and bound states in the one-dimensional quantum walk
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 …
one and two dimensions. Being periodically driven quantum systems, their topological …
Topological phases and delocalization of quantum walks in random environments
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 …
temporally random defects as a consequence of interactions with random environments. We …
Unveiling hidden topological phases of a one-dimensional Hadamard quantum walk
Quantum walks, whose dynamics is prescribed by alternating unitary coin and shift
operators, possess topological phases akin to those of Floquet topological insulators, driven …
operators, possess topological phases akin to those of Floquet topological insulators, driven …
Spectral theory of extended Harper's model and a question by Erdős and Szekeres
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 …
almost Mathieu operator, allowing for a wider range of lattice geometries (parametrized by …
Disordered quantum walks in one lattice dimension
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 …
disorder induced by a random, space-dependent quantum coin. The discrete time evolution …
Trap** a particle of a quantum walk on the line
Trap** a particle of a quantum walk on the line Page 1 PHYSICAL REVIEW A 85, 012329
(2012) Trap** a particle of a quantum walk on the line Antoni Wójcik,1 Tomasz Łuczak,2 …
(2012) Trap** a particle of a quantum walk on the line Antoni Wójcik,1 Tomasz Łuczak,2 …
Anderson localization in generalized discrete-time quantum walks
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 …
related to a Floquet driven quantum lattice. It is controlled by a quantum coin matrix which …