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 introduce and study a class of discrete-time quantum walks on a one-dimensional lattice.
In contrast to the standard homogeneous quantum walks, coin operators are …

The dynamics of a one dimensional quantum walker on the lattice with two internal degrees
of freedom, the coin states, is considered. The discrete time unitary dynamics is determined …

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 …

Discrete-time quantum walks, quantum generalizations of classical random walks, provide a
framework for quantum information processing, quantum algorithms, and quantum …

We outline a theory of symmetry protected topological phases of one-dimensional quantum
walks. We assume spectral gaps around the symmetry-distinguished points+ 1 and− 1, in …

We consider a position-dependent coined quantum walk on ZZ and assume that the coin
operator C (x) satisfies ‖ C (x)-C_0 ‖ ≤ c_1| x|^-1-ϵ,\quad x ∈ Z ∖ {0\}‖ C (x)-C 0‖≤ c …

We treat three types of measures of the quantum walk (QW) with the spatial perturbation at
the origin, which was introduced by Konno (Quantum Inf Proc 9: 405, 2010): time averaged …