Quantum and classical correlations inside the entanglement wedge
Quantum and classical correlations inside the entanglement wedge
复制标题
DOI：
10.1103/physrevd.100.126021
复制
发表时间：
2019-07
影响因子：
5
通讯作者：
Koji Umemoto
中科院分区：
文献类型：
--
作者：
Koji Umemoto
我们表明，纠缠楔截面（EWCS）可以变得比量子纠缠措施，如纠缠的形成在AdS/CFT对应。然后我们讨论了一系列的全息优化相关性的措施，找到了一个新的几何相关性的措施，\textit{纠缠楔互信息}（ESTO），作为对偶的$Q$-相关。我们证明了Ewind满足$Q$-相关性和强超可加性的性质，并且它可以变得比纠缠度量更大。这些结果意味着EWCS和EWLS在纠缠楔中捕获的不仅仅是量子纠缠，这启发了经典关联在全息中的潜在作用。
We show that the entanglement wedge cross section (EWCS) can become larger than the quantum entanglement measures such as the entanglement of formation in the AdS/CFT correspondence. We then discuss a series of holographic duals to the optimized correlation measures, finding a novel geometrical measure of correlation, the \textit{entanglement wedge mutual information} (EWMI), as the dual of the $Q$-correlation. We prove that the EWMI satisfies the properties of the $Q$-correlation as well as the strong superadditivity, and that it can become larger than the entanglement measures. These results imply that both of the EWCS and the EWMI capture more than quantum entanglement in the entanglement wedge, which enlightens a potential role of classical correlations in holography.