A graph with fractional revival
Mathematical Physics
2018-01-17 v1 math.MP
Abstract
An example of a graph that admits balanced fractional revival between antipodes is presented. It is obtained by establishing the correspondence between the quantum walk on a hypercube where the opposite vertices across the diagonals of each face are connected and, the coherent transport of single excitations in the extension of the Krawtchouk spin chain with next-to-nearest neighbour interactions.
Keywords
Cite
@article{arxiv.1710.02705,
title = {A graph with fractional revival},
author = {Pierre-Antoine Bernard and Ada Chan and Érika Loranger and Christino Tamon and Luc Vinet},
journal= {arXiv preprint arXiv:1710.02705},
year = {2018}
}
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16 pages