Perfect state transfer on NEPS of the path on three vertices

Perfect state transfer is significant in quantum communication networks. There are very few graphs known to have this property. So, it is useful to find some new graphs having perfect state transfer. A good way to construct new graphs is by forming NEPS. It is well known that a path on three vertices exhibits perfect state transfer and so we investigate some NEPS of the path on three vertices. A sufficient condition is found for a NEPS of path on three vertices to have perfect state transfer. Using these NEPS, some other graphs are also constructed having perfect state transfer.