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 …

Quantum walks, in virtue of the coherent superposition and quantum interference, have
exponential superiority over their classical counterpart in applications of quantum searching …

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 …

We present the first robust implementation of a coined quantum walk over five steps using
only passive optical elements. By employing a fiber network loop we keep the amount of …

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 …

Quantum walks can be considered as a generalized version of the classical random walk.
There are two classes of quantum walks, that is, the discrete-time (or coined) and the …

We consider quantum dynamical systems specified by a unitary operator U and an initial
state vector ϕ. In each step the unitary is followed by a projective measurement checking …

We demonstrate a quantum walk with time-dependent coin bias. With this technique we
realize an experimental single-photon one-dimensional quantum walk with a linearly …

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 …

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 …