2018/04/30 by Shu Tamegai, Shohei Watabe, Tetsuro Nikuni · 1 citation
Physics and Astronomy · #quant-ph
paper · pdf · doi:10.7566/jpsj.87.085003
published as J. Phys. Soc. Jpn. 87, 085003 (2018) · 6 pages, 5 figures
arxiv created 2018/07/05 · arxiv updated 2018/07/31
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.