Spectra of perfect state transfer Hamiltonians on fractal-like graphs
Spectra of perfect state transfer Hamiltonians on fractal-like graphs
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DOI：
10.1088/1751-8121/abc4b9
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发表时间：
2020-03
期刊：
影响因子：
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通讯作者：
Gamal Mograby;Maxim S. Derevyagin;G. Dunne;A. Teplyaev
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文献类型：
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作者：
Gamal Mograby;Maxim S. Derevyagin;G. Dunne;A. Teplyaev
在本文中，我们研究了哈密顿量在分形图上的光谱特征，其表现出完美量子态转移（PQST）的特殊性质：量子态传输而不耗散。基本目标是开发理论框架来理解 PQST、光谱特性和底层图的几何形状之间的相互作用，以便为量子信息科学中的应用设计新颖的协议。我们提出了一种新的提升和粘合结构，并用它来证明有关归纳谱结构的结果，适用于各种分形图。我们用几类菱形图的明确示例来说明这种构造。
In this paper we study the spectral features, on fractal-like graphs, of Hamiltonians which exhibit the special property of perfect quantum state transfer (PQST): the transmission of quantum states without dissipation. The essential goal is to develop the theoretical framework for understanding the interplay between PQST, spectral properties, and the geometry of the underlying graph, in order to design novel protocols for applications in quantum information science. We present a new lifting and gluing construction, and use this to prove results concerning an inductive spectral structure, applicable to a wide variety of fractal-like graphs. We illustrate this construction with explicit examples for several classes of diamond graphs.