22 citations · 56 across the 11 of their papers we have counts for
4 papers · 1 filter
Occupation time for classical and quantum walks
F. A. Grunbaum, L. Velazquez, J. Wilkening
This is a personal tribute to Lance Littlejohn on the occasion of his 70th birthday. It is meant as a present to him for many years of friendship. It is not written in the "Satz-Be…
Some limit laws for quantum walks with applications to a version of the Parrondo paradox
Takuya Machida, F. Alberto Grunbaum
A quantum walker moves on the integers with four extra degrees of freedom, performing a coin-shift operation to alter its internal state and position at discrete units of time. The…
One-dimensional quantum walks with one defect
M. J. Cantero, F. A. Grunbaum, L. Moral +1
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 t…
Matrix valued Szego polynomials and quantum random walks
M. J. Cantero, F. A. Grünbaum, L. Moral +1
We consider quantum random walks (QRW) on the integers, a subject that has been considered in the last few years in the framework of quantum computation. We show how the theory of…