Quantum state transfer in graphs with tails

IF 1 3区数学 Q1 MATHEMATICS

Linear Algebra and its Applications Pub Date : 2025-02-04 DOI:10.1016/j.laa.2025.02.005

Pierre-Antoine Bernard , Christino Tamon , Luc Vinet , Weichen Xie

引用次数: 0

Abstract

Godsil proved that there is no quantum perfect state transfer (between vertex states) on bounded infinite graphs. We show however there exists quantum perfect state transfer in graphs with tails. The main argument used is a decoupling theorem for eventually-free Jacobi matrices (due to Golinskii). Our results rehabilitate the notion of a dark subspace which had been so far viewed in an unflattering light.

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来源期刊

Linear Algebra and its Applications 数学-应用数学

CiteScore

2.20

自引率

9.10%

发文量

333

审稿时长

13.8 months

期刊介绍： Linear Algebra and its Applications publishes articles that contribute new information or new insights to matrix theory and finite dimensional linear algebra in their algebraic, arithmetic, combinatorial, geometric, or numerical aspects. It also publishes articles that give significant applications of matrix theory or linear algebra to other branches of mathematics and to other sciences. Articles that provide new information or perspectives on the historical development of matrix theory and linear algebra are also welcome. Expository articles which can serve as an introduction to a subject for workers in related areas and which bring one to the frontiers of research are encouraged. Reviews of books are published occasionally as are conference reports that provide an historical record of major meetings on matrix theory and linear algebra.