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 …

The discrete time quantum walk defined as a quantum-mechanical analogue of the discrete
time random walk have recently been attracted from various and interdisciplinary fields. In …

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 …

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 …

arXiv:0908.2213v4 [quant-ph] 11 May 2010 Page 1 arXiv:0908.2213v4 [quant-ph] 11 May
2010 Localization of an inhomogeneous discrete-time quantum walk on the line Norio Konno …

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 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 …

We give an explicit formula of the generator of an abstract Szegedy evolution operator in
terms of the discriminant operator of the evolution. We also characterize the asymptotic …

We consider ad-dimensional random quantum walk with site-dependent random coin
operators. The corresponding transition coefficients are characterized by deterministic …