Random walks have been employed in virtually every science related discipline to model
everyday phenomena such as biochemical reaction pathways and DNA synapsis …

We implement the proof of principle for the quantum walk of one ion in a linear ion trap. With
a single-step fidelity exceeding 0.99, we perform three steps of an asymmetric walk on the …

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 …

This stimulating discussion of a rapidly developing field is divided into two parts. The first
features tutorials in textbook style providing self-contained introductions to the various areas …

We show that the quantum dynamics of interacting and noninteracting quantum particles are
fundamentally different in the context of solving a particular computational problem …

We present a generalized version of the discrete time quantum walk, using the SU (2)
operation as the quantum coin. By varying the coin parameters, the quantum walk can be …

Quantum walk models have been used as an algorithmic tool for quantum computation and
to describe various physical processes. This article revisits the relationship between …

The nonlocalized case of the spatial density probability of the two-dimensional Grover walk
can be obtained using only a two-dimensional coin space and a quantum walk in alternate …

One-parameter family of discrete-time quantum-walk models on the square lattice, which
includes the Grover-walk model as a special case, is analytically studied. Convergence in …