Summary
International Symposium on Nonlinear Theory and Its Applications
2022
Session Number:C2L-C
Session:
Number:C2L-C-04
Skeleton Structure Inherent in Quantum Walks
Tomoki Yamagami , Etsuo Segawa , Ken'Ichiro Tanaka , Takatomo Mihana , Andr? R?hm , Ryoichi Horisaki , Makoto Naruse,
pp.446-449
Publication Date:12/12/2022
Online ISSN:2188-5079
Summary:
This paper demonstrates that a common underlying structure, or a skeleton structure, is present behind quantum walks with a homogeneous coin matrix. More specifically, we examine the transition probabilities of random walks that replicate the probability distribution of quantum walks. We show that the transition probability contains a skeleton structure by considering the weak limit that excludes the oscillatory behavior. Remarkably, the skeleton structure does not depend on the coin matrix or the initial condition of the quantum walk.