A graph with fractional revival

TL;DR

This paper presents a specific graph that exhibits balanced fractional revival between antipodal vertices, linking quantum walks on hypercubes with coherent transport in extended Krawtchouk spin chains.

Contribution

It introduces a novel graph model demonstrating fractional revival, connecting quantum walk dynamics with spin chain transport mechanisms.

Findings

Balanced fractional revival observed between antipodes.

Connection established between hypercube quantum walk and Krawtchouk spin chain.

Potential applications in quantum information transfer.

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.