标题： 纠缠楔形重建与混合态中的关联度量，模流与量子恢复通道 显示英文标题

标题： Entanglement Wedge Reconstruction and Correlation Measures in Mixed States, Modular Flows versus Quantum Recovery Channels

摘要： 在本工作中，我们研究了对称条带设置中混合态之间的关联性质。我们使用各种工具来确定如何从边界混合信息重建体几何结构。这些工具包括模哈密顿量和模流、OPE块、量子恢复通道如Petz映射、Uhlmann全息和威尔逊线。我们评论了这些方法在我们的混合态设置中的相似性和联系。特别地，我们使用诸如耗散等参数，该参数由引力子质量进行建模，以及两个条带的相同符号电荷，以找到这些不同方法之间的联系。此外，使用Uhlmann保真度作为关联度量，我们研究了各种类型的关联，如失谐。然后，我们利用费米子的模哈密顿量的简单结果，来了解模流与纠缠和纯化复杂性（EoP/CoP）之间的关系，以及限制几何的模流。最后，我们使用各种信息速度研究关联的动力学，然后是CFTs中的空洞形成模型，并再次评论它们与EoP和CoP的关系。 显示英文摘要

摘要： 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 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 setup of mixed states. Specially, we use parameters such as dissipation which is being modeled by the mass of graviton, and also the same sign charges of the two strips to find connections between these different approaches. Also, using Uhlmann fidelity as the correlation measure, we look into the various types of correlations such as discord. We then use simple results of modular Hamiltonian for fermions to get information about the relations between modular flow and entanglement and complexity of purification (EoP/CoP) and also modular flows of confining geometries. Finally, we study the dynamics of correlations using various information speeds and then model of void formation in CFTs and again we comment on their relationships with EoP and CoP.