标题： 研究电子-离子对撞机中的最大纠缠和贝尔非定域性 显示英文标题

标题： Studying Maximal Entanglement and Bell Nonlocality at an Electron-Ion Collider

摘要： 在本文中，我们提出在电子-离子对撞机（EIC）上测试量子纠缠和贝尔非定域性。 通过计算通过光子-胶子融合产生的夸克-反夸克对中的自旋关联，我们发现纵向极化的光子在主导阶产生最大的纠缠，而横向极化的光子在阈值附近和超相对论性区域内产生显著的纠缠。 与强子对撞机相比，EIC通过$\gamma^\ast g \to q\bar{q}$通道提供了更清洁的实验环境来测量纠缠，具有强烈的信号，并为验证贝尔非定域性提供了有前景的途径。 这项研究将纠缠测量扩展到EIC，提出了新的机会来探索EIC时代量子信息现象与强子物理之间的相互作用。 显示英文摘要

摘要： In this paper, we propose to test quantum entanglement and Bell nonlocality at an Electron-Ion Collider (EIC). By computing the spin correlations in quark-antiquark pairs produced via photon-gluon fusion, we find that longitudinally polarized photons produce maximal entanglement at leading order, while transversely polarized photons generate significant entanglement near the threshold and in the ultra-relativistic regime. Compared to hadron colliders, the EIC provides a cleaner experimental environment for measuring entanglement through the $\gamma^\ast g \to q\bar{q}$ channel, offering a strong signal and a promising avenue to verify Bell nonlocality. This study extends entanglement measurements to the EIC, presenting new opportunities to explore the interplay of quantum information phenomena and hadronic physics in the EIC era.