Role of magnetic skyrmions for the solution of the shortest path problem

Magnetic skyrmions are emerging as key elements of unconventional operations
having unique properties such as small size and low current manipulation. In
particular, it is possible to design skyrmion-based neurons and synapses for
neuromorphic computing in devices where skyrmions move along the current
direction (zero skyrmion Hall angle). Here, we show that, for a given graph,
skyrmions can be used in optimization problems facing the calculation of the
shortest path. Our tests show a solution with the same path length as computed
with Algorithm. In addition, we also discuss how skyrmions act as positive
feedback on this type of problem giving rise to a self-reinforcement of the
path which is a possible solution.