Holographic Pseudo Entropy and Emergent Spacetime
summary
Introduces pseudo entropy as a complex generalization of entanglement entropy defined from a transition (post‑selected) matrix and shows it has a concrete holographic dual computed by an Euclidean minimal surface/extremal surface. Demonstrates numeric results in transverse‑field Ising chains: pseudo entropy becomes positive when initial and final states lie in different quantum phases, negative/zero within the same phase. Builds a brane+scalar holographic model that reproduces measurement‑induced entanglement phases (linear growth versus saturated constant) and maps tuning of boundary data to the phase transition.
AI-written summary · about
chapters (10)
- 0:00Introduction to talk
- 2:03Entanglement and gravity
- 8:12Holographic principle
- 11:30Calculating entanglement
- 15:44Algebraic properties
- 19:33Tensor networks and space
- 28:32Defining SH entropy
- 34:53Applications of SH entropy
- 39:50Phase transitions and dynamics
- 44:21Conclusions and discussion
related talks
59mInformational and computational aspects of holography
01h 21mGeometry, Entropy and Complexity in Quantum Gravity (Part II)
01h 06mGeometry, Entropy and Complexity in Quantum Gravity (Part I)
01h 03mConstant depth pseudoentanglement - Shallow circuits, deep backstory
01h 08mEntanglement in Many Body Quantum Systems
27mAbstracting Entanglement
01h 00mSymmetry and Topological Order in Quantum States
16mRobust Quantum Entanglement at (nearly) Room Temperature