Page curve under final state projection
Ibrahim Akal, Taishi Kawamoto, Shan-Ming Ruan, Tadashi Takayanagi, Zixia Wei
Abstract
The black hole singularity plays a crucial role in formulating Hawking's information paradox. The global spacetime analysis may be reconciled with unitarity by imposing a final state boundary condition on the spacelike singularity. Motivated by the final state proposal, we explore the effect of final state projection in two dimensional conformal field theories. We calculate the time evolution under postselection by employing the real part of pseudoentropy to estimate the amount of quantum entanglement averaged over histories between the initial and final states. We find that this quantity possesses a Page-curve-like behavior.
Topics & Concepts
SingularityUnitarityQuantum entanglementProjection (relational algebra)State (computer science)SpacetimeConformal mapField (mathematics)Black hole (networking)HawkingPhysicsBoundary (topology)Theoretical physicsQuantumMathematicsQuantum mechanicsGeometryComputer scienceMathematical analysisHorizonAlgorithmPure mathematicsRouting protocolRouting (electronic design automation)Link-state routing protocolComputer networkBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesQuantum Electrodynamics and Casimir Effect