Fundamentals of fractional revival in graphs

Ada Chan, Gabriel Coutinho, Whitney Drazen, Or Eisenberg, Chris D. Godsil, Gábor Lippner, Mark Kempton, Christino Tamon, Hanmeng Zhan · arXiv (Cornell University) · 2020

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.]

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