Feynman Checkers with Absorption
Quantum Physics
2022-04-19 v1 Combinatorics
Abstract
We give a new elementary proof of the theorem by Ambainis et al. that for a quantum walk, the probability amplitudes of absorption at the initial point after 4n steps are proportional to the Catalan numbers. We also calculate the absorption probabilities at points close to the initial one for the first time.
Cite
@article{arxiv.2204.07861,
title = {Feynman Checkers with Absorption},
author = {Mikhail Dmitriev},
journal= {arXiv preprint arXiv:2204.07861},
year = {2022}
}
Comments
in Russian