文献类型：期刊文献

英文题名：Nonlocality under uncertainty-disturbance relations and self-duality

作者：Sun, Liang-Liang[1,2];Song, Yong-Shun[3];Yu, Sixia[1,2];Chen, Zeng-Bing[4]

机构：[1]Univ Sci & Technol China, Hefei Natl Res Ctr Phys Sci Microscale, Hefei 230026, Anhui, Peoples R China;[2]Univ Sci & Technol China, Dept Modern Phys, Hefei 230026, Anhui, Peoples R China;[3]East China Univ Sci & Technol, Dept Phys, Shanghai 200237, Peoples R China;[4]Univ Nanjing, Sch Phys, Hankou Rd 22, Nanjing 210093, Jiangsu, Peoples R China

年份：2022

卷号：106

期号：3

外文期刊名：PHYSICAL REVIEW A

收录：;EI(收录号：20224212902071);WOS:【SCI-EXPANDED(收录号:WOS:000933693900003)】；

基金：This work was supported by the Chinese Academy of Sciences, the National Natural Science Foundation of China under Grant No. 61125502, and the National Fundamental Research Program under Grant No. 2011CB921300.

语种：英文

外文关键词：Uncertainty analysis

摘要：We exploit the interplay between uncertainty, disturbance, nonlocality, and self-duality within the framework of generalized probabilistic theories (GPTs). We first introduce an operational uncertainty-disturbance relation that reveals the discrepancies of GPTs in uncertainty and disturbance exhibited by one single measurement. We then apply the relation to Bell's scenarios and derive upper bounds for the basic spatial Clauser-Horne-Shimony-Holt and the temporal Leggett-Garg inequalities with and without the assumption of strong self-duality, respectively. It turns out that self-duality, though being thought of as one pillar of the axiomatization of quantum theory and implying additional constraints, is insufficient to explain the quantum violations. These insights may serve as a seed for a universal understanding of these basic properties in GPTs.