No perfect state transfer in trees with more than 3 vertices

被引:0
|
作者
Coutinho, Gabriel [1 ]
Juliano, Emanuel [1 ]
Spier, Thomas Jung [1 ]
机构
[1] Univ Fed Minas Gerais, Dept Comp Sci, Belo Horizonte, Brazil
关键词
Perfect state transfer; Trees; Quantum walks;
D O I
10.1016/j.jctb.2024.04.004
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove that the only trees that admit perfect state transfer according to the adjacency matrix model are P2 and P3. This answers a question first asked by Godsil in 2012 and proves a conjecture by Coutinho and Liu from 2015. (c) 2024 Elsevier Inc. All rights reserved.
引用
收藏
页码:68 / 85
页数:18
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