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On the Page curve under final state projection

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arxiv 2112.08433 v2 pith:XV36K75R submitted 2021-12-15 hep-th gr-qc

Ibrahim Akal , Taishi Kawamoto , Shan-Ming Ruan , Tadashi Takayanagi , Zixia Wei This is my paper · ORCID
classification hep-thgr-qc
keywords finalstatepageprojectionsingularityunderamountanalysis
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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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Brane Cosmology from AdS/BCFT

    hep-th 2025-01 conditional novelty 6.0 of 10

    In an AdS/BCFT model with a brane-localized scalar, the authors derive a real-conformal-dimension constraint for dS/CFT, a time-like g-theorem, and a classification of constant-potential brane cosmologies including bi...

  2. Projections and teleportation of operator quenches in CFT

    hep-th 2024-12 conditional novelty 6.0 of 10

    In a 2D CFT, projecting an operator quench onto a Cardy state produces Renyi entropies with a surprising even/odd n dependence, indicating imperfect teleportation and obstructing the n to 1 von Neumann limit.

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