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Hayden-Preskill decoding from noisy Hawking radiation

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arxiv 2009.13493 v2 pith:2MHTT255 submitted 2020-09-28 quant-ph hep-th

Hayden-Preskill decoding from noisy Hawking radiation

classification quant-ph hep-th
keywords radiationdecodingdecoherenceearlyexperimenthawkinghayden-preskillquantum
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In the Hayden-Preskill thought experiment, the Hawking radiation emitted before a quantum state is thrown into the black hole is used along with the radiation collected later for the purpose of decoding the quantum state. A natural question is how the recoverability is affected if the stored early radiation is damaged or subject to decoherence, and/or the decoding protocol is imperfectly performed. We study the recoverability in the thought experiment in the presence of decoherence or noise in the storage of early radiation.

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  1. Microscopic Side Information Controls Ordered Hayden--Preskill Recovery

    quant-ph 2026-07 conditional novelty 7.0

    Without microscopic position labels, Hayden–Preskill recovery of a fixed diary requires Θ(n^{2/3}) output qubits; coarse block labels reduce this to n^{2/3}B^{-1/3} or n/B.