This is a continuation of the work pioneered by Rice and UCLA (the latter who discovered how to cheaply produce graphene) and shows great promise. The biggest problem I see is the safety factor of using high storage capacitors. The ability of capacitors to charge quickly also allows them to discharge quickly so a shorted capacitor basically explodes.
Since the capacitor is basically integrated all on a ‘chip’ the mechanical problems of capacitor shorting is minimized. Shorts could be handled by integration of fuses on the chip so that if a sudden failure occurs the fuse would blow and limit any over-current situations. The thinness of the capacitor would make them ideal for use in cell phones, tablets, palm-tops and laptops, where the current level of technology has a small power requirement, and is getting smaller everyday..........