Phase transition of a continuoustime quantum walk on the half line
Abstract
Quantum walks are referred to as quantum analogues 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 discretetime quantum walk and the other is the continuoustime quantum walk. We study a continuoustime 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.
 Publication:

arXiv eprints
 Pub Date:
 March 2024
 DOI:
 10.48550/arXiv.2403.13576
 arXiv:
 arXiv:2403.13576
 Bibcode:
 2024arXiv240313576M
 Keywords:

 Quantum Physics;
 Mathematical Physics;
 Mathematics  Probability
 EPrint:
 10 pages, 6 figures