$Fundamentals of fractional revival in graphs$

Fundamentals of fractional revival in graphs

We develop a general spectral framework to analyze quantum fractional revival in quantum spin networks. In particular, we introduce generalizations of the notions of cospectral and strongly cospectral vertices to arbitrary subsets of vertices, and give various examples. This work resolves two open q...

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Veröffentlicht in:	arXiv.org 2020-04
Hauptverfasser:	Chan, Ada, Coutinho, Gabriel, Whitney Drazen, Eisenberg, Or, Godsil, Chris, Lippner, Gabor, Kempton, Mark, Tamon, Christino, Zhan, Hanmeng
Format:	Artikel
Sprache:	eng
Schlagworte:	Apexes Applications of mathematics Graphs
Online-Zugang:	Volltext
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Zusammenfassung:	We develop a general spectral framework to analyze quantum fractional revival in quantum spin networks. In particular, we introduce generalizations of the notions of cospectral and strongly cospectral vertices to arbitrary subsets of vertices, and give various examples. This work resolves two open questions of Chan et.~al. ["Quantum Fractional Revival on graphs". Discrete Applied Math, 269:86-98, 2019.]
ISSN:	2331-8422