Pretty good state transfer between internal nodes of paths
Gabriel Coutinho, Krystal Guo, Christopher M. van Bommel · Quantum Information and Computation · 2017
In this paper, we show that, for any odd prime p and positive integer t, the path on 2tp−1 vertices admits pretty good state transfer between vertices a and (n + 1 − a) for each a that is a multiple of 2t−1 with respect to the quantum walk model determined by the XY-Hamiltonian. This gives the first examples of pretty good state transfer occurring between internal vertices on an unweighted path, when it does not occur on the extremal vertices.