Operator Spreading and Information Propagation: Equivalence and Beyond
Quantum Physics
2025-05-14 v1 Mathematical Physics
math.MP
Abstract
We investigate the quantitative relationship between operator spreading and classical information propagation in quantum systems. Focusing on a bi-partite quantum channel, we derive new upper and lower bounds on the Holevo capacity, a typical information measure, in terms of the trace norm distance between output states, sharpening earlier results by Bravyi \textit{et al}. Our results clarify the extent to which operator growth governs information flow.
Cite
@article{arxiv.2505.07955,
title = {Operator Spreading and Information Propagation: Equivalence and Beyond},
author = {Cheng Shang and Zhi-Guang Lu and Hayato Kinkawa and Tomotaka Kuwahara},
journal= {arXiv preprint arXiv:2505.07955},
year = {2025}
}
Comments
4 pages, 0 figures