Interplay between quantum information and spacetime

这篇博士论文的目的是研究量子信息与时空几何之间的关系。尽管我们希望尽可能地通用，但我们很可能会使用AdS/CFT中的工具来做到这一点。我们将从涉及纠缠熵的更确定的问题开始。然而，我们计划最终涵盖一些最新的发展，在所谓的字典之间的体积和边界，包括推导的页面曲线在黑洞物理或复杂性的意义全息。论文所涉及的技术方法将涉及引力（微分几何）和CFT（量子力学）两种工具

The purpose of this PhD thesis is to study the relation between quantum information and the geometry of spacetime. Even though we would ideally like to be as general as possible, we will most likely use the tools in AdS/CFT to do so. We will start with more established matters involving entanglement entropy. However, we plan to eventually cover some of the latest developments in the so called dictionary between bulk and boundary, including the derivation of the Page curve in black hole physics or the meaning of complexity in holography. The technical methods involved in the thesis will involve both gravitational (differential geometry) and CFT (quantum mechanics) tools