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arXiv · 1912.11978

A Theorem of Joseph-Alfred Serret and its Relation to Perfect Quantum State Transfer

Maxim Derevyagin·Anastasiia Minenkova·Nathan Sun
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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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Maxim Derevyagin, Anastasiia Minenkova, Nathan Sun. 2019-12-27. A Theorem of Joseph-Alfred Serret and its Relation to Perfect Quantum State Transfer. https://doi.org/10.1016/j.exmath.2020.12.001

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