Limit theorems and localization of three state quantum walks on a line defined by generalized Grover coins
Quantum Physics
2022-10-19 v2 Mathematical Physics
math.MP
Abstract
In this article, we undertake a detailed study of the limiting behavior of a three-state discrete-time quantum walk on one dimensional lattice with generalized Grover coins. Two limit theorems are proved and consequently we show that the quantum walk exhibits localization at its initial position, for a wide range of coin parameters. Finally, we discuss the effect of the coin parameters on the peak velocities of probability distributions of the underlying quantum walks.
Cite
@article{arxiv.2204.05625,
title = {Limit theorems and localization of three state quantum walks on a line defined by generalized Grover coins},
author = {Amrita Mandal and Rohit Sarma Sarkar and Shantanav Chakraborty and Bibhas Adhikari},
journal= {arXiv preprint arXiv:2204.05625},
year = {2022}
}