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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| creator | Chan, Ada Coutinho, Gabriel Drazen, Whitney Eisenberg, Or Godsil, Chris Lippner, Gabor Kempton, Mark Tamon, Christino Zhan, Hanmeng |
| description | 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_str_mv | 10.48550/arxiv.2004.01129 |
| format | Article |
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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,
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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
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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.]</abstract><doi>10.48550/arxiv.2004.01129</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Combinatorics Physics - Quantum Physics |
| title | Fundamentals of fractional revival in graphs |
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