English

Fundamentals of fractional revival in graphs

Combinatorics 2020-04-03 v1 Quantum Physics

Abstract

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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Cite

@article{arxiv.2004.01129,
  title  = {Fundamentals of fractional revival in graphs},
  author = {Ada Chan and Gabriel Coutinho and Whitney Drazen and Or Eisenberg and Chris Godsil and Gabor Lippner and Mark Kempton and Christino Tamon and Hanmeng Zhan},
  journal= {arXiv preprint arXiv:2004.01129},
  year   = {2020}
}

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38 pages