Product of Random States and Spatial (Half-)Wormholes

Understand

We study how coarse-graining procedure of an underlying UV-complete quantum gravity gives rise to a connected geometry.

• It has been shown, quantum entanglement plays a key role in the emergence of such a geometric structure, namely a smooth Einstein-Rosen bridge.
• In this paper, we explore the possibility of the emergence of similar geometric structure from classical correlation, in the AdS/CFT setup.
• To this end, we consider a setup where we have two decoupled CFT Hilbert spaces, then choose a random typical state in one of the Hilbert spaces and the same state in the other.