Holographic tensor networks serve as toy models for the Anti-de Sitter/Conformal Field Theory (AdS/CFT) correspondence, capturing many of its essential features in a concrete manner. However, existing holographic tensor network models remain far from a complete theory of quantum gravity. A key obstacle is their discrete structure, which only approximates the semi-classical geometry of gravity in a qualitative sense. I will show that a network of partial-entanglement-entropy (PEE) threads, which are bulk geodesics with a specific density distribution, generates a perfect tessellation of AdS space. In other words, this network is an equivalent formulation of the background geometry. Then we assign quantum states to each vertex in the PEE network and develop holographic tensor network models. We reproduce the exact Ryu-Takayanagi formula by showing that the minimal number of cuts along a homologous surface in the network exactly computes the area of this surface.

Biography

Qiang Wen is currently an associate professor at Southeast University in Nanjing. He earned his PhD from Renmin University of China, and completed a postdoctoral fellowship at YMSC, Tsinghua University prior to joining Southeast University. His research interests include topics at the intersection between Quantum Gravity and Quantum Information.

Inviter: Jie-Qiang Wu