A continuous-time quantum walker on finite Sierpiński carpet lattices is increasingly trapped near its initial corner as fractal order grows, unlike ballistic crossing on a uniform lattice.
One- dimensional three-state quantum walk,
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Quantum walker trapped by self-similarity of the Sierpi\'nski carpet
A continuous-time quantum walker on finite Sierpiński carpet lattices is increasingly trapped near its initial corner as fractal order grows, unlike ballistic crossing on a uniform lattice.