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A graph with fractional revival. (English) Zbl 1387.81221
Summary: 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.

##### MSC:
 81Q35 Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices 82C22 Interacting particle systems in time-dependent statistical mechanics
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