发表机构
Mathematical Institute, Slovak Academy of Sciences; ENS Lyon, Inria（斯洛伐克科学院数学研究所; 里昂高等师范学院，法国国家信息与自动化研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文澄清实数量子理论无法在不证伪量子理论的情况下被实验证伪，反驳了Renou等人的双局域网络实验结论，指出其缺乏贝尔式证明强度且依赖不可检验的乘积态假设。
AI 中文摘要
在我们之前关于该问题的论文中，我们证明了实数量子理论（RQT）无法在不使量子理论（QT）同时被实验证伪的情况下被实验证伪。我们的结果与Renou等人发表在《自然》杂志[600, 625-629 (2021)]上的文章的核心主张直接矛盾，该文章报道了一个双局域网络实验，声称可以在不证伪量子理论的情况下证伪实数量子理论。本说明的目的是回应若干看似自然的、试图恢复Renou等人实验结论的尝试。我们首先解释这些结果虽然基于非局域性实验，但远未达到类似贝尔不等式的证明水平。然后我们解释为什么所提出的实验需要一个关于独立制备必然表示为乘积态的实验上不可检验的前提。最后，我们讨论一些超出两个结果范围之外的关切。
英文摘要
In our previous paper on the matter, we proved that real quantum theory (RQT) cannot be experimentally falsified without the experiment falsifying quantum theory (QT) as well. Our result is in direct contradiction to the central claim of an article by Renou et al., published in Nature [600, 625--629 (2021)], reporting a bilocal network experiment that could falsify real quantum theory without falsifying quantum theory. The purpose of this note is to address several seemingly natural attempts to recover the experimental conclusion of Renou et al. We first explain how these results, although based on nonlocality experiments, are far from a Bell-like level of proof. Then we explain why the proposed experiment requires an experimentally untestable premise about independent preparations necessarily being represented as product states. Finally, we discuss some concerns that lie outside the scope of both results.
Comments10 pages plus appendices
