Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Entanglement Wedge Reconstruction and the Information Paradox   When absorbing boundary conditions are used to evaporate a black hole in
AdS/CFT, we show that there is a phase transition in the location of the
quantum Ryu-Takayanagi surface, at precisely the Page time. The new RT surface
lies slightly inside the event horizon, at an infalling time approximately the
scrambling time $\beta/2\pi \log S_{BH}$ into the past. We can immediately
derive the Page curve, using the Ryu-Takayanagi formula, and the
Hayden-Preskill decoding criterion, using entanglement wedge reconstruction.
Because part of the interior is now encoded in the early Hawking radiation, the
decreasing entanglement entropy of the black hole is exactly consistent with
the semiclassical bulk entanglement of the late-time Hawking modes, despite the
absence of a firewall.
  By studying the entanglement wedge of highly mixed states, we can understand
the state dependence of the interior reconstructions. A crucial role is played
by the existence of tiny, non-perturbative errors in entanglement wedge
reconstruction. Directly after the Page time, interior operators can only be
reconstructed from the Hawking radiation if the initial state of the black hole
is known. As the black hole continues to evaporate, reconstructions become
possible that simultaneously work for a large class of initial states. Using
similar techniques, we generalise Hayden-Preskill to show how the amount of
Hawking radiation required to reconstruct a large diary, thrown into the black
hole, depends on both the energy and the entropy of the diary. Finally we argue
that, before the evaporation begins, a single, state-independent interior
reconstruction exists for any code space of microstates with entropy strictly
less than the Bekenstein-Hawking entropy, and show that this is sufficient
state dependence to avoid the AMPSS typical-state firewall paradox.

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The categories of this paper are: solv-int
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The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: stat
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The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: q-bio
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The categories of this paper are: math
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The categories of this paper are: nlin
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The categories of this paper are: chao-dyn
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The categories of this paper are: atom-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: ao-sci