Quantifying Unitary Flow Efficiency and Entanglement for Many-Body Localization
Disordered Systems and Neural Networks
2021-10-20 v1 Quantum Physics
Abstract
We probe the bulk geometry of the Wegner Wilson Flow (WWF) in the context of many-body localization, by addressing efficiency and bulk entanglement growth measures through approximating upper bounds on the boundary entanglement entropy. We connect these upper bounds to the Fubini-Study metric and clarify how a central quantity, the information fluctuation complexity, distinguishes bulk unitary rotation from entanglement production. We also give a short new proof of the small incremental entangling theorem in the absence of ancillas, achieving a dimension-independent, universal factor of .
Cite
@article{arxiv.2110.10148,
title = {Quantifying Unitary Flow Efficiency and Entanglement for Many-Body Localization},
author = {Gregory A. Hamilton and Bryan K. Clark},
journal= {arXiv preprint arXiv:2110.10148},
year = {2021}
}