发表机构
National Chung Hsing University; National Center for Theoretical Sciences; National Cheng Kung University（国立中兴大学; 国家理论科学中心; 国立成功大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究将装配矩矩阵框架扩展至三方量子导引，针对2-steer-1和1-steer-2场景构建半定规划，从观测关联或贝尔不等式违反中得出导引鲁棒性下界，并设备无关地认证测量不相容性。
AI 中文摘要
量子导引刻画了一方通过对共享纠缠态进行局域测量，以无法用局域解释的方式影响远距离方所持条件态的能力。其设备无关（DI）量化——要求无需表征任何态或测量——已在两方设置中得到发展，特别是通过装配矩矩阵（AMMs）框架[Phys. Rev. Lett. 116, 240401 (2016)]，但在其之外仍 largely 未被探索。在此，我们将 AMM 框架扩展到三方导引，涵盖两方联合导引第三方（2-steer-1）以及单方导引其余两方（1-steer-2）两种场景。对于每种方案，我们构造一个半定规划，从观测到的关联——或仅从贝尔不等式的违反——得出底层装配的导引鲁棒性的下界。作为副产品，我们的界还以设备无关的方式认证了导引方所执行测量的不相容性。
英文摘要
Quantum steering captures the ability of one party, through local measurements on a shared entangled state, to affect the conditional states held by distant parties in a way that admits no local explanation. Its device-independent (DI) quantification -- requiring no characterization of any state or measurement -- has been developed in the bipartite setting, notably through the framework of assemblage moment matrices (AMMs) [Phys. Rev. Lett. 116, 240401 (2016)], but has remained largely unexplored beyond it. Here, we extend the AMM framework to tripartite steering, covering both the scenario in which two parties jointly steer a third one (2-steer-1) and that in which a single party steers the remaining two (1-steer-2). For each scheme, we construct a semidefinite program that, from the observed correlations -- or merely from the violation of a Bell inequality -- yields lower bounds on the steering robustness of the underlying assemblage. As a by-product, our bounds also certify, in a DI manner, the incompatibility of the measurements performed by the steering parties.
Comments22 pages, 4 figures
