On the Page curve under final state projection
arXiv:2112.08433 · doi:10.1103/PhysRevD.105.126026
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 pseudo-entropy 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.
arXiv comment5+2 pages, 6 figures
References in corpus (36)
- Holographic Derivation of Entanglement Entropy from AdS/CFT
- Entanglement Entropy and Quantum Field Theory
- A Covariant Holographic Entanglement Entropy Proposal
- Average Entropy of a Subsystem
- Black Holes: Complementarity or Firewalls?
- Evolution of Entanglement Entropy in One-Dimensional Systems
- Information in Black Hole Radiation
- The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole
- The Page curve of Hawking radiation from semiclassical geometry
- Measurement-Induced Phase Transitions in the Dynamics of Entanglement
- Holography from Conformal Field Theory
- Quantum Zeno Effect and the Many-body Entanglement Transition
- Open and Closed String Interpretation of SUSY CFT's on Branes with Boundaries
- Holographic Dual of BCFT
- Universal Spectrum of 2d Conformal Field Theory in the Large c Limit
- Aspects of AdS/BCFT
- The black hole final state
- Codimension two holography for wedges
- Holographic Pseudo Entropy
- Entanglement entropy in holographic moving mirror and Page curve
- Unitarity of black hole evaporation in final-state projection models
- Comment on "The black hole final state"
- Pseudo Entropy in Free Quantum Field Theories
- Aspects of Pseudo Entropy in Field Theories
- Island for Gravitationally Prepared State and Pseudo Entanglement Wedge
- EPR Pairs, Local Projections and Quantum Teleportation in Holography
- Topological pseudo entropy
- Post measurement bipartite entanglement entropy in conformal field theories
- Entanglement entropy after a partial projective measurement in dimensional conformal field theories: exact results
- Subregion Spectrum Form Factor via Pseudo Entropy
- Measurements without Probabilities in the Final State Proposal
- Fate of the area-law after partial measurement in quantum field theories
- Holographic moving mirrors
- Universality, intertwiners and black hole information
- Twist operators and pseudo entropies in two-dimensional momentum space
- Information storage and near horizon quantum correlations
Cited by in corpus (21)
- Pseudo Entropy in dS/CFT and Time-like Entanglement Entropy
- Timelike entanglement entropy
- AdS/BCFT with Brane-Localized Scalar Field
- Brane Dynamics of Holographic BCFTs
- Constructible reality condition of pseudo entropy via pseudo-Hermiticity
- Zoo of holographic moving mirrors
- On the real-time evolution of pseudo-entropy in 2d CFTs
- Entanglement Phase Transition in Holographic Pseudo Entropy
- AdS/BCFT from Conformal Bootstrap: Construction of Gravity with Branes and Particles
- Pseudo entropy under joining local quenches
- Holographic Dual of Crosscap Conformal Field Theory
- Relation between time- and spacelike entanglement entropy
- Pseudo entropy and pseudo-Hermiticity in quantum field theories
- Exploring causality in braneworld/cutoff holography via holographic scattering
- Black holes Entangled by Radiation
- Sum rule for the pseudo-Rényi entropy
- Horizon thermodynamics and cosmological equations: A holographic-like connection between thermostatistical quantities on a cosmological horizon and in the bulk
- Encoded information of mixed correlations: the views from one dimension higher
- Effect of backreaction on Island, Page curve and Mutual Information
- Detecting quantum chaos via pseudo-entropy
- Average entanglement entropy of a small subsystem in a constrained pure Gaussian state ensemble