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arXiv · 1505.02840

One-shot decoupling and Page curves from a dynamical model for black hole evaporation

Kamil Brádler·Christoph Adami
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Abstract

One-shot decoupling is a powerful primitive in quantum information theory and was hypothesized to play a role in the black hole information paradox. We study black hole dynamics modeled by a trilinear Hamiltonian whose semiclassical limit gives rise to Hawking radiation. An explicit numerical calculation of the discretized path integral of the S-matrix shows that decoupling is exact in the continuous limit, implying that quantum information is perfectly transferred from the black hole to radiation. A striking consequence of decoupling is the emergence of an output radiation entropy profile that follows Page's prediction. We argue that information transfer and the emergence of Page curves is a robust feature of any multi-linear interaction Hamiltonian with a bounded spectrum.

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Kamil Brádler, Christoph Adami. 2016-02-03. One-shot decoupling and Page curves from a dynamical model for black hole evaporation. https://doi.org/10.1103/physrevlett.116.101301

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