发表机构
University of York; Aix-Marseille University, CNRS, LIS; King’s College London（约克大学; 艾克斯-马赛大学，法国国家科学研究中心，信息系统实验室; 伦敦国王学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究探讨虚假量子关联，即某一因果结构中看似量子的关联可在另一无精细调谐的因果结构中得到经典解释，同时也存在无法被任何此类替代因果结构解释的非经典量子关联。
AI 中文摘要
在贝尔的开创性论文[Physics Physique Fizika 1, 195 (1964)]中，他研究了对一对纠缠粒子进行类空间隔测量所产生的关联，利用相对论为贝尔因果结构提供依据，随后证明在该因果结构中存在无法用经典理论解释的量子关联。这类量子关联的经典解释可在替代因果结构中实现，例如允许超光速因果影响的结构，但如[New Journal of Physics 17 033002 (2015)]所示，所有此类替代解释都需要精细调谐（无关联的因果关系）。本文讨论虚假量子关联的存在——即某一因果结构中看似量子的关联，在另一因果结构中却有自然的经典解释。更准确地说，存在一些因果结构，它们允许非经典量子关联，但相同的关联在另一无精细调谐的因果结构中具有经典解释，且在另一因果结构中的实现也不会违反相对论导出的因果结构的任何自然约束。不过，与贝尔因果结构中的非经典量子关联类似，我们发现其他一些具有非经典量子关联的因果结构，在任何无精细调谐的替代因果结构中都没有经典因果解释。
英文摘要
In his seminal paper, Bell [Physics Physique Fizika 1, 195 (1964)] considers the correlations that result from space-like separated measurements on a pair of entangled particles. He uses relativity theory to motivate the Bell causal structure, then shows the existence of quantum correlations that cannot be explained classically within this causal structure. Classical explanations of such quantum correlations are possible in alternative causal structures, for instance, those that allow superluminal causal influences, but, as shown in [New Journal of Physics 17 033002 (2015)], all such alternative explanations require fine tuning (causation without correlation). Here we discuss the existence of spurious quantum correlations --- correlations that look quantum in one causal structure, but have a natural classical explanation in another. More precisely, there are causal structures that admit non-classical quantum correlations, but for which the same correlations have a classical explanation in another causal structure without fine tuning. The realisation in the other causal structure can also be achieved without breaking any natural constraints on the causal structure that follow from relativity theory. However, similarly to non-classical quantum correlations in the Bell causal structure, we find other causal structures with non-classical quantum correlations that do not have a classical causal explanation in any alternative causal structure without fine tuning.
CommentsPreliminary draft, 7 pages, 3 figures, some definitions as is from our previous preprint: arXiv:2512.04058
