论文标题
两分的纠缠和时间的箭头
Bipartite entanglement and the arrow of time
论文作者
论文摘要
我们提供了关于纠缠与时间之间紧密关系的新观点。我们的主要重点是双方的纠缠，在彼得斯由于PERS引起的积极部分转置标准中，这种联系都被预示了[A. A.佩雷斯，物理。 Rev. Lett。，77，1413（1996）]和在更一般的非信号双分裂相关性中的量子分类中[M. Frembs和A.Döring，Arxiv：2204.11471]。提取相关的共同特征，我们根据局部可观察的代数在兼容性方向上确定了双方纠缠的必要条件，该条件表达了各个子系统中的动力学。我们讨论了后者在冯·诺伊曼代数的更广泛背景下的相关性，以及后者自然产生的时间的热力学概念。
We provide a new perspective on the close relationship between entanglement and time. Our main focus is on bipartite entanglement, where this connection is foreshadowed both in the positive partial transpose criterion due to Peres [A. Peres, Phys. Rev. Lett., 77, 1413 (1996)] and in the classification of quantum within more general non-signalling bipartite correlations [M. Frembs and A. Döring, arXiv:2204.11471]. Extracting the relevant common features, we identify a necessary and sufficient condition for bipartite entanglement in terms of a compatibility condition with respect to time orientations in local observable algebras, which express the dynamics in the respective subsystems. We discuss the relevance of the latter in the broader context of von Neumann algebras and the thermodynamical notion of time naturally arising within the latter.
