Quantum state transfer in graphs with tails

被引：0

作者：

Bernard, Pierre-Antoine ^{[1
]}

Tamon, Christino ^{[2
]}

Vinet, Luc ^{[1
]}

Xie, Weichen ^{[3
]}

机构：

[1] Univ Montreal, Ctr Rech Math, Montreal, PQ, Canada

[2] Clarkson Univ, Dept Comp Sci, Potsdam, NY 13699 USA

[3] Clarkson Univ, Dept Math, Potsdam, NY USA

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2025年 / 710卷

关键词：

Quantum walk; Perfect state transfer; Infinite graphs; INFINITE; SPECTRA;

D O I：

10.1016/j.laa.2025.02.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (c) 2025 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.

引用

页码：363 / 384

页数：22

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