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Abstract
A subdivided star S K 1 , l is obtained by identifying exactly one pendant vertex from l copies of the path P 3 . We consider the existence of quantum state transfer on double subdivided star T l , m which is a pair of subdivided stars S K 1 , l and S K 1 , m joined by an edge to the respective coalescence vertices. We provide a complete characterization of double subdivided stars exhibiting pretty good state transfer. Although there is no perfect state transfer on double subdivided stars, we find perfect pair state transfer on T l , m considering the adjacency matrix as the Hamiltonian of the corresponding quantum system.
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