A Theorem of Joseph-Alfred Serret and its Relation to Perfect Quantum State Transfer
Classical Analysis and ODEs
2021-10-29 v2 Number Theory
Spectral Theory
Abstract
In this paper we recast the Serret theorem about a characterization of palindromic continued fractions in the context of polynomial continued fractions. Then, using the relation between symmetric tridiagonal matrices and polynomial continued fractions we give a quick exposition of the mathematical aspect of the perfect quantum state transfer problem.
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Cite
@article{arxiv.1912.11978,
title = {A Theorem of Joseph-Alfred Serret and its Relation to Perfect Quantum State Transfer},
author = {Maxim Derevyagin and Anastasiia Minenkova and Nathan Sun},
journal= {arXiv preprint arXiv:1912.11978},
year = {2021}
}
Comments
19 pages