标题： 纠缠楔重构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。我们在混合系统的对称设置中评论了这些方法之间的相似性和联系。特别地，我们使用诸如耗散等参数，该参数由引力子的质量进行建模，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。然后，使用Uhlmann保真度作为关联度量，我们研究混合系统中的各种关联类型，如量子失谐。接下来，我们利用费米子的模哈密顿量的简单结果，以了解模流与纠缠和纯化复杂性（EoP/CoP）之间的关系，以及模流在约束几何中的行为。最后，我们使用各种信息速度和CFTs中的空洞形成模型来研究关联的动力学，并再次评论它们与EoP和CoP行为之间的关系。 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 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.