论文标题
热状态是至关重要的:纠缠楔子重建来自操作员挤压
Thermal states are vital: Entanglement Wedge Reconstruction from Operator-Pushing
论文作者
论文摘要
我们为无限二维系统验证批量重建,相对熵的保护,相对熵的保护以及模块化的相等性,以验证批量重建,相对熵的保守和模块化的平等,以验证批量重建,相对熵的平等,以验证具有运算符的无限二维系统。在我们的设置中,在$ c^*$ - 独立于状态的可观察物的代数的级别上定义了批量至边界地图。然后,我们表明,如果边界动力学允许存在KMS状态,则可以直接从我们的框架中直接构建与物理相关的希尔伯特空间和von Neumann代数。我们的建筑应被视为虫洞另一侧的国家依赖性结构,并阐明了黑洞重建主张(例如帕帕多迪玛斯·拉朱的提议)的含义。作为例证,我们将结果应用于基于快乐的代码来构建虫洞,该代码满足了纠缠楔重建的所有属性。
We give a general construction of a setup that verifies bulk reconstruction, conservation of relative entropies, and equality of modular flows between the bulk and the boundary, for infinite-dimensional systems with operator-pushing. In our setup, a bulk-to-boundary map is defined at the level of the $C^*$-algebras of state-independent observables. We then show that if the boundary dynamics allow for the existence of a KMS state, physically relevant Hilbert spaces and von Neumann algebras can be constructed directly from our framework. Our construction should be seen as a state-dependent construction of the other side of a wormhole and clarifies the meaning of black hole reconstruction claims such as the Papadodimas-Raju proposal. As an illustration, we apply our result to construct a wormhole based on the HaPPY code, which satisfies all properties of entanglement wedge reconstruction.