A Theorem of Joseph-Alfred Serret and its Relation to Perfect Quantum State Transfer
arXiv:1912.11978 · doi:10.1016/j.exmath.2020.12.001
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.
19 pages