Causal Classification of Spatiotemporal Quantum Correlations,Physical Review Letters

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Causal Classification of Spatiotemporal Quantum Correlations
Physical Review Letters ( IF 8.1 ) Pub Date : 2024-09-11 , DOI: 10.1103/physrevlett.133.110202
Minjeong Song ₁ , Varun Narasimhachar _{1,

2} , Bartosz Regula ₃ , Thomas J. Elliott _{4,

4} , Mile Gu _{1,

5,

6}

Affiliation

From correlations in measurement outcomes alone, can two otherwise isolated parties establish whether such correlations are atemporal? That is, can they rule out that they have been given the same system at two different times? Classical statistics says no, yet quantum theory disagrees. Here, we introduce the necessary and sufficient conditions by which such quantum correlations can be identified as atemporal. We demonstrate the asymmetry of atemporality under time reversal and reveal it to be a measure of spatial quantum correlation distinct from entanglement. Our results indicate that certain quantum correlations possess an intrinsic arrow of time and enable classification of general quantum correlations across space-time based on their (in)compatibility with various underlying causal structures.

中文翻译：

时空量子相关性的因果分类

仅根据测量结果的相关性，两个原本孤立的团体能否确定这种相关性是否是非时间性的？也就是说，他们能否排除在两个不同时间获得相同系统的可能性？经典统计学说不，但量子理论不同意。在这里，我们介绍了可以将这种量子相关性识别为非时间相关性的充分必要条件。我们证明了时间反转下非时间性的不对称性，并揭示它是不同于纠缠的空间量子相关性的度量。我们的结果表明，某些量子相关性具有内在的时间箭头，并且能够根据它们与各种潜在因果结构的（不）兼容性对跨时空的一般量子相关性进行分类。

更新日期：2024-09-11

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