从三方系统中的可区分集合激活真正的非局域性
Activate genuine nonlocality from distinguishable sets in tripartite systems
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中文总结 AI 辅助
本研究在三方系统正交乘积态集合中激活Ⅰ、Ⅱ型真正非局域性，利用部分迹与p进制数系简化证明，解决相关开放问题并观测到隐藏真正非局域性的激活，凸显其实际应用价值。
中文摘要 AI 辅助
在多体系统中，若一组正交量子态在所有 bipartition 下均局域不可区分，则称其具有真正非局域性；若该组态在各方分离时可局域约化，则称其具有Ⅰ型真正非局域性，否则为Ⅱ型真正非局域性。对于无局域冗余的局域可区分集合，若存在若干保正交性的局域测量，使得每个测量结果对应一个局域不可区分的集合，则称该集合表现出非局域性的激活。我们在三方系统的正交乘积态集合中激活了Ⅰ型和Ⅱ型真正非局域性，具体而言，我们利用部分迹操作和p进制数系解决了局域无冗余问题，大幅简化了证明过程。我们的结果还解决了S. Bandyopadhyay等人[Phys. Rev. A 104, L050201 (2021)]提出的开放问题，此外，我们在多体系统中观测到了隐藏真正非局域性的激活，凸显了基于态区分的非局域性在不同实际场景中的应用。
英文摘要
A set of orthogonal quantum states in multipartite systems is of genuine nonlocality if it is locally indistinguishable in every bipartition. If it is locally reducible when the parties are separated, we say that it has genuine nonlocality of type~\uppercase\expandafter{\romannumeral 1}; otherwise, it has genuine nonlocality of type~\uppercase\expandafter{\romannumeral 2}. For a locally distinguishable set without local redundancy, if there exist some orthogonality preserving local measurements such that each outcome leads to a locally indistinguishable set, then we say that it exhibits the activation of nonlocality. We activate type-\uppercase\expandafter{\romannumeral 1} and type-\uppercase\expandafter{\romannumeral 2} genuine nonlocality of orthogonal product state sets in tripartite systems. In particular, we tackle the local irredundancy problem with partial trace operation and $p$-ary numeral systems to significantly simplify the proofs. Our results also address the open question raised by S. Bandyopadhyay \textit{et al.}[\href{https://link.aps.org/doi/10.1103/PhysRevA.104.L050201}{Phys. Rev. A \textbf{104}, L050201 (2021)}]. Furthermore, we observe the activation of hidden genuine nonlocality in multipartite systems, which highlights the applications of nonlocality based on state discrimination in different practical scenarios.
