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 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 …

We propose a twisted Szegedy walk for estimating the limit behavior of a discrete-time
quantum walk on a crystal lattice, an infinite abelian covering graph, whose notion was …

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 …

From the unitary operator used for implementing two-state discrete-time quantum walk on
one-, two-and three-dimensional lattice we obtain a two-component Dirac-like Hamiltonian …

The CGMV method allows for the general discussion of localization properties for the states
of a one-dimensional quantum walk, both in the case of the integers and in the case of the …

We investigate magnetoassociation of ultracold fermionic Feshbach molecules in a mixture
of 40 K and 87 Rb atoms, where we can create 40 K 87 Rb molecules with a conversion …

Here we present neutrino oscillation in the framework of quantum walks. Starting from a one
spatial dimensional discrete-time quantum walk we present a scheme of evolutions that will …