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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… Click to show full 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.
Keywords:
sierpinski carpet;
search sierpinski;
spatial search
Journal Title: Journal of the Physical Society of Japan
Year Published: 2018
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Journal Title: Journal of the Physical Society of Japan
Year Published: 2018
Link to full text (if available)
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recommendations!