我们世界中的全息图
Holograms In Our World
AI总结：
将AdS/CFT中的纠缠楔概念推广到任意时空，定义最大和最小纠缠楔，证明其广义熵满足强次可加性及无克隆关系，暗示观察者可能利用超越半经典描述的资源召唤信息。
摘要：
在AdS/CFT中，纠缠楔EW$(B)$是能从边界区域$B$重建的体几何部分；换言之，EW$(B)$是$B$的全息图。我们将这一概念推广到任意时空。给定任意引力区域$a$，我们定义最大纠缠楔$e_{\rm max}(a)$和最小纠缠楔$e_{\rm min}(a)$，使得$e_{\rm min}(a)\supset e_{\rm max}(a)\supset a$。与它们在AdS/CFT中的类似物不同，这两个时空区域在经典层面（当广义熵由面积近似时）就已经可以不同。$e_{\rm max}(a)$中$a$之外的所有信息可以通过量子通道向内流向$a$，这些通道的容量由中间同调面的面积控制。相反，$e_{\rm min}(a)$之外的所有信息可以向外流动。适当纠缠楔的广义熵满足强次可加性，表明它们代表普通量子系统的冯·诺依曼熵。适当独立区域的纠缠楔满足无克隆关系。这表明，位于$a$的观察者或许可以利用超越$a'的半经典描述的资源，从$e_{\rm max}(a)$中类空相关的点召唤信息。
英文摘要：
In AdS/CFT, the entanglement wedge EW$(B)$ is the portion of the bulk geometry that can be reconstructed from a boundary region $B$; in other words, EW$(B)$ is the hologram of $B$. We extend this notion to arbitrary spacetimes. Given any gravitating region $a$, we define a max- and a min-entanglement wedge, $e_{\rm max}(a)$ and $e_{\rm min}(a)$, such that $e_{\rm min}(a)\supset e_{\rm max}(a)\supset a$. Unlike their analogues in AdS/CFT, these two spacetime regions can differ already at the classical level, when the generalized entropy is approximated by the area. All information outside $a$ in $e_{\rm max}(a)$ can flow inwards towards $a$, through quantum channels whose capacity is controlled by the areas of intermediate homology surfaces. In contrast, all information outside $e_{\rm min}(a)$ can flow outwards. The generalized entropies of appropriate entanglement wedges obey strong subadditivity, suggesting that they represent the von Neumann entropies of ordinary quantum systems. The entanglement wedges of suitably independent regions satisfy a no-cloning relation. This suggests that it may be possible for an observer in $a$ to summon information from spacelike related points in $e_{\rm max}(a)$, using resources that transcend the semiclassical description of $a$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
