Lower-bounding entanglement with nonlocality in a general Bell's scenario
Abstract
Understanding the quantitative relation between entanglement and Bell nonlocality is a long-standing open problem of fundamental and practical interest. Here, we tackle this problem in a general Bell scenario. {We observe that lying in the center of quantifying these properties are two minimal distances: one from a state to separable states (entanglement), and the other from a correlation to local correlations (nonlocality).} We find that these two distances can be related to each other -- the minimal correlation distance provides a lower bound for the minimal state distance, which allows us to derive nontrivial bounds on many entanglement measures with an arbitrary nonlocal correlation. Moreover, with the on-hand structural knowledge of entanglement and nonlocality in the Bell scenario, we refine our estimate significantly.
Keywords
Cite
@article{arxiv.2312.02588,
title = {Lower-bounding entanglement with nonlocality in a general Bell's scenario},
author = {Liang-Liang Sun and Xiang Zhou and Zhen-Peng Xu and Sixia Yu},
journal= {arXiv preprint arXiv:2312.02588},
year = {2026}
}