通过环边实现图上的强量子态转移

IF 1 3区数学 Q1 MATHEMATICS

Linear Algebra and its Applications Pub Date : 2024-10-10 DOI:10.1016/j.laa.2024.10.008

Gabor Lippner, Yujia Shi

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引用次数: 0

摘要

我们量化了图的源节点和目标节点上的加权循环对这些顶点之间量子态传输强度的影响。我们给出了环路权重的下限，它能保证强大的传输保真度，适用于该协议可行的任何图。通过考虑局部谱对称性，我们证明所需的权重大小只取决于图的最大度，在某些不太有利的情况下，还取决于顶点之间的距离。此外，我们还探讨了传输强度保持在指定阈值以上的持续时间。

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Strong quantum state transfer on graphs via loop edges

We quantify the effect of weighted loops at the source and target nodes of a graph on the strength of quantum state transfer between these vertices. We give lower bounds on loop weights that guarantee strong transfer fidelity that works for any graph where this protocol is feasible. By considering local spectral symmetry, we show that the required weight size depends only on the maximum degree of the graph and, in some less favorable cases, the distance between vertices. Additionally, we explore the duration for which transfer strength remains above a specified threshold.

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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.