论文标题

看到纠缠楔

Seeing the Entanglement Wedge

论文作者

Levine, Adam, Shahbazi-Moghaddam, Arvin, Soni, Ronak M

论文摘要

我们研究了使用简单操作揭示纠缠楔的问题。我们询问半经典观察者可以通过反应使纠缠楔与边界的因果关系进行什么操作。 在通用的扰动类别中,我们提出了因果楔形的统一操作,其反应将所有先前因果关系无法接近的“半岛”带入与边界的因果关系。这类案例包括与边界子区域相关的纠缠楔形楔形楔形楔形楔形楔,该协议的大小在半岛的大小中起作用。统一与所谓的Connes Cocycle流密切相关,该流量既有QFT,又定位于子区域。我们的建设需要将锡汉和福克纳的作品概括为脱离球形帽的区域。我们在附录中讨论了这种概括。我们认为,应该认为这一合过程自然概括了Gao,Jafferis&Wall工作中引入的非本地耦合。

We study the problem of revealing the entanglement wedge using simple operations. We ask what operation a semiclassical observer can do to bring the entanglement wedge into causal contact with the boundary, via backreaction. In a generic perturbative class of states, we propose a unitary operation in the causal wedge whose backreaction brings all of the previously causally inaccessible `peninsula' into causal contact with the boundary. This class of cases includes entanglement wedges associated to boundary sub-regions that are unions of disjoint spherical caps, and the protocol works to first order in the size of the peninsula. The unitary is closely related to the so-called Connes Cocycle flow, which is a unitary that is both well-defined in QFT and localised to a sub-region. Our construction requires a generalization of the work by Ceyhan & Faulkner to regions which are unions of disconnected spherical caps. We discuss this generalization in the Appendix. We argue that this cocycle should be thought of as naturally generalizing the non-local coupling introduced in the work of Gao, Jafferis & Wall.

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