论文标题
混合状态中的纠缠楔重建和相关度量：模块化流与量子恢复通道
Entanglement wedge reconstruction and correlation measures in mixed states: modular flows versus quantum recovery channels
论文作者
论文摘要
在这项工作中，我们研究了两个对称条的设置中混合状态之间相关性的性质。我们使用各种工具来确定如何从边界混合信息中重建整体几何形状。这些工具将是模块化的哈密顿和模块化流，OPE块，量子恢复通道，例如Petz Map，Uhlmann Wollonomy和Wilson Lines。我们在混合系统的对称设置中对这些方法之间的相似性和连接进行评论。特别是，我们使用诸如耗散之类的参数，该参数是由Graviton质量建模的，以及两条条的相同符号电荷来查找这些不同方法之间的连接。然后，使用Uhlmann Fidelity作为相关度量，我们研究了混合系统（例如不一致）中的各种相关性。接下来，我们使用模块化哈密顿量的简单结果来获得有关模块化流与纠缠与复杂性（EOP/COP）之间关系的见解（EOP/COP），以及模块化流动的行为在限制几何形状中。最后，我们使用各种信息速度以及CFT中的空隙形成模型研究了相关性的动力学，我们再次评论了它们与EOP和COP的行为的关系。
In this work we study the nature of correlations among mixed states in the setup of two symmetric strips. We use various tools to determine how the bulk geometry could be reconstructed from the boundary mixed information. These tools would be the modular Hamiltonian and modular flow, OPE blocks, quantum recovery channels such as Petz map, Uhlmann holonomy and Wilson lines. We comment on the similarities and connections between these approaches in our symmetric setup of a mixed system. Specially, we use parameters such as dissipation which is being modeled by the mass of graviton, and also the same sign charge of the two strips to find connections between these different approaches. Then, using Uhlmann fidelity as the correlation measure, we look into the various types of correlations in mixed systems such as discord. Next, we use simple results of modular Hamiltonian for fermions to get insights about the relations between modular flow and entanglement and complexity of purification (EoP/CoP), and also behavior of modular flows in confining geometries. Finally, we study the dynamics of correlations using various information speeds and also model of void formation in CFTs and again we comment on their relationships with the behavior of EoP and CoP.
