Perfect state transfer in NEPS of some graphs

Let G be a graph with adjacency matrix AG. The transition matrix of G corresponding to A(G) is denoted as H-AC (t) :-= exp(-it(AG) (t is an element of R, i = root-1). If there is some time t is an element of Rsuch that H-AG (tau)(u,v) has unit modulus, where u and v are distinct vertices in G, then we say that G admits perfect state transfer from u to v. In this paper, we first show that a non-complete extended p-sum (NEPS) with badly decomposed factors has no perfect state transfer. And then, we prove that NEPS of a cube with odd distance has perfect state transfer when the sum of elements in its basis is not zero and that NEPS of a cube with even distance exhibits perfect state transfer if and only if there is a tuple in the basis such that it has exact one coordinate which is valued 1.