Spatial Search on Sierpinski Carpet Using Quantum Walk
Quantum Physics
2018-07-31 v3
Abstract
We investigate a quantum spatial search problem on a fractal lattice. A recent study for the Sierpinski gasket and tetrahedron made a conjecture that the dynamics of the search on a fractal lattice is determined by spectral dimension. We tackle this problem for the Sierpinski carpet, and our simulation result supports the conjecture. We also propose a scaling hypothesis of oracle calls for the quantum amplitude amplification.
Cite
@article{arxiv.1804.06549,
title = {Spatial Search on Sierpinski Carpet Using Quantum Walk},
author = {Shu Tamegai and Shohei Watabe and Tetsuro Nikuni},
journal= {arXiv preprint arXiv:1804.06549},
year = {2018}
}
Comments
6 pages, 5 figures