论文标题

多部分纯化,多孔虫洞和广告中的岛屿$ _ {3} $/cft $ _ {2} $

Multipartite Purification, Multiboundary Wormholes and Islands in AdS$_{3}$/CFT$_{2}$

论文作者

Bhattacharya, Aranya

论文摘要

最近在文献中,通过纠缠楔横截面的纯化纯化全息双重双重的话题。还提出了涉及多部分信息及其全息偶的更一般的纠缠措施。另一方面,最近使用岛屿概念在黑洞熵中复制页面曲线的有趣程序也是一个显而易见的吸引力问题。一个涉及广告中多孔虫洞的玩具模型$ _ {3} $能够捕获有关此类计算的许多有趣的事实。在这样的玩具模型中,岛屿的概念直观地连接到量子误差校正。我们试图弥合这两个程序的想法,尤其是在广告中$ _ {3} $/cft $ _ {2} $,并就多部分纯化纠缠而言对这些岛屿的描述进行了描述。这阐明了在描述玩具模型时做出的一些简化的假设,还使我们能够理解同一模型框架内熟悉的信息悖论。

The holographic duals of Entanglement of Purification through the Entanglement Wedge Cross Section has been a well-discussed topic in the literature recently. More general entanglement measures involving multipartite information and their holographic duals have also been proposed. On the other hand, the recent intriguing program reproducing the Page Curve in Black hole entropy using the notion of islands has also been an obvious issue of attraction. A toy model involving Multiboundary wormholes in AdS$_{3}$ was able to capture many interesting facts about such calculations. In such a toy model, the notion of islands was intuitively connected to quantum error correction. We try to bridge the ideas of the two programs especially in AdS$_{3}$/CFT$_{2}$ and give a description of the islands in terms of multipartite entanglement of purification. This clarifies a few simplified assumptions made while describing the toy model and also enables us to understand the familiar information paradox within the framework of the same model.

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