Publication : t21/038

Quantum random walk on a comb with infinite teeth

David F. (CEA, IPhT (Institut de Physique Théorique), F-91191 Gif-sur-Yvette, France)
Jonsson T. (Science Institute, Universily of Iceland Dunhaga 3, 107, Reykjavik, ICELAND)
Abstract:
We study continuous time quantum random walk on a comb with infinite teeth and show that the return probability to the starting point decays with time t as t−1. We analyse the diffusion along the spine and into the teeth and show that the walk can escape into the teeth with a finite probability and goes to infinity along the spine with a finite probability. The walk along the spine and into the teeth behaves qualitatively as a quantum random walk on a line. This behaviour is quite different from that of classical random walk on the comb.
Année de publication : 2021
DOI : https://doi.org/10.1088/1751-8121/ac4897
Preprint : arXiv:2107.08866
Lien : https://iopscience.iop.org/article/10.1088/1751-8121/ac4897
Langue : Anglais

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  • David_2022_J._Phys._A%3A_Math._Theor._55_095304.pdf
  • publi.pdf

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