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arxiv: 1710.02705 · v1 · pith:SHPZHUYZnew · submitted 2017-10-07 · 🧮 math-ph · math.MP

A graph with fractional revival

classification 🧮 math-ph math.MP
keywords fractionalgraphrevivalacrossadmitsantipodesbalancedchain
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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.

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