Jacobi matrices that realize perfect quantum state transfer and early state exclusion
Quantum Physics
2024-11-13 v2 Mathematical Physics
math.MP
Spectral Theory
Abstract
In this paper we show how to construct 1D Hamiltonians, that is, Jacobi matrices, that realize perfect quantum state transfer and also have the property that the overlap of the time evolved state with the initial state is zero for some time before the transfer time. If the latter takes place we call it an early exclusion state. We also show that in some case early state exclusion is impossible. The proofs rely on properties of Krawtchouk and Chebyshev polynomials.
Keywords
Cite
@article{arxiv.2411.06047,
title = {Jacobi matrices that realize perfect quantum state transfer and early state exclusion},
author = {Rachel Bailey and Sara Costa and Maxim Derevyagin and Caleb Findley and Kai Zuang},
journal= {arXiv preprint arXiv:2411.06047},
year = {2024}
}
Comments
12 pages, 1 figure