New results in vertex sedentariness

H Monterde - arXiv preprint arXiv:2401.00362, 2023 - arxiv.org
A vertex in a graph is said to be sedentary if a quantum state assigned on that vertex tends
to stay on that vertex. Under mild conditions, we show that the direct product and join …

[HTML][HTML] Quantum state transfer between cells and binary tree model

Q Han, N Bai - Physics Letters A, 2024 - Elsevier
Discussing quantum state transfer on a graph is a very difficult task, when it has a relatively
large number of vertices. In this paper, we construct cells so that it contain a number of …

A Characterization of State Transfer on Double Subdivided Stars

S Mohapatra, H Pal - arXiv preprint arXiv:2310.04107, 2023 - arxiv.org
A subdivided star $ SK_ {1, l} $ is obtained by identifying exactly one pendant vertex from $ l
$ copies of the path $ P_3. $ This study is on the existence of quantum state transfer on …