We prove that almost-linear-time high-fidelity state transfer is achievable in a quantum spin chain using loop weights at the second and second-to-last nodes. We provide specific parameter values, and using a careful analysis of the eigenvectors we make precise quantitative estimates of the transfer time and strength.
Cite
@article{arxiv.2601.20237,
title = {Fast state transfer via loop weights},
author = {Gabor Lippner and Yujia Shi},
journal= {arXiv preprint arXiv:2601.20237},
year = {2026}
}