Phase transition of a continuous-time quantum walk on the half line
Quantum Physics
2024-06-26 v2 Mathematical Physics
math.MP
Probability
Abstract
Quantum walks are referred to as quantum analogs to random walks in mathematics. They have been studied as quantum algorithms in quantum information for quantum computers. There are two types of quantum walks. One is the discrete-time quantum walk and the other is the continuous-time quantum walk. We study a continuous-time quantum walk on the half line and challenge to find a limit theorem for it in this paper. As a result, approximate behavior of the quantum walker is revealed after the system of quantum walk gets updated in long time.
Keywords
Cite
@article{arxiv.2403.13576,
title = {Phase transition of a continuous-time quantum walk on the half line},
author = {Takuya Machida},
journal= {arXiv preprint arXiv:2403.13576},
year = {2024}
}
Comments
10 pages, 6 figures