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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Hauptverfasser: Chan, Ada, Coutinho, Gabriel, Drazen, Whitney, Eisenberg, Or, Godsil, Chris, Lippner, Gabor, Kempton, Mark, Tamon, Christino, Zhan, Hanmeng
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Combinatorics
Physics - Quantum Physics
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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.]
DOI:10.48550/arxiv.2004.01129