Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-08-29
JHEP 0709:120,2007
Physics
High Energy Physics
High Energy Physics - Theory
18 pages, 2 figures. (v2): discussion of decoding complexity clarified
Scientific paper
10.1088/1126-6708/2007/09/120
We study information retrieval from evaporating black holes, assuming that the internal dynamics of a black hole is unitary and rapidly mixing, and assuming that the retriever has unlimited control over the emitted Hawking radiation. If the evaporation of the black hole has already proceeded past the "half-way" point, where half of the initial entropy has been radiated away, then additional quantum information deposited in the black hole is revealed in the Hawking radiation very rapidly. Information deposited prior to the half-way point remains concealed until the half-way point, and then emerges quickly. These conclusions hold because typical local quantum circuits are efficient encoders for quantum error-correcting codes that nearly achieve the capacity of the quantum erasure channel. Our estimate of a black hole's information retention time, based on speculative dynamical assumptions, is just barely compatible with the black hole complementarity hypothesis.
Hayden Patrick
Preskill John
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