Spatial search on sierpinski carpet using quantum walk

Shu Tamegai, Shohei Watabe, Tetsuro Nikuni

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

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.

Original languageEnglish
Article number085003
Journaljournal of the physical society of japan
Volume87
Issue number8
DOIs
Publication statusPublished - 2018
Externally publishedYes

ASJC Scopus subject areas

  • General Physics and Astronomy

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