Scaling hypothesis of a spatial search on fractal lattices using a quantum walk
Rei Sato, Tetsuro Nikuni, Shohei Watabe · Physical Review A · 2020
A quantum spatial search problem on fractal lattices, such as Sierpinski carpets and Menger sponges, is studied numerically. The results confirmed various conjectures on the relationship between the number of oracle calls needed for a search with respect to the number of sites and spatial dimensions.