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arXiv · 1804.06549

Spatial Search on Sierpinski Carpet Using Quantum Walk

Shu Tamegai·Shohei Watabe·Tetsuro Nikuni
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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.

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Shu Tamegai, Shohei Watabe, Tetsuro Nikuni. 2018-04-18. Spatial Search on Sierpinski Carpet Using Quantum Walk. https://doi.org/10.7566/jpsj.87.085003

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