Why Hawking Radiation Cannot Be Decoded

Abstract Recently it was proposed that the entanglement entropy of the Hawking radiation contains the information of a region including the interior of the event horizon, which is called “island.” In studies of the entanglement entropy of the Hawking radiation, the total system in the black hole geometry is separated into the Hawking radiation and black hole. In this paper, we study the entanglement entropy of the black hole in the asymptotically flat Schwarzschild spacetime. Consistency with the island rule for the Hawking radiation implies that the information of the black hole is located in a different region than the island. We found an instability of the island in the calculation of the entanglement entropy of the region outside a surface near the horizon. This implies that the region contains all the information of the total system and the information of the black hole is localized on the surface. Thus the surface would be interpreted as the stretched horizon. This structure also resembles black holes in the AdS spacetime with an auxiliary flat spacetime, where the information of the black hole is localized at the interface between the AdS spacetime and the flat spacetime.

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Direct Detection of Hawking Radiation from Asteroid-Mass Primordial Black Holes

Physical Review Letters ◽

10.1103/physrevlett.126.171101 ◽

2021 ◽

Vol 126 (17) ◽

Author(s):

Adam Coogan ◽

Logan Morrison ◽

Stefano Profumo

Keyword(s):

Black Holes ◽

Hawking Radiation ◽

Direct Detection ◽

Primordial Black Holes

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Hawking Radiation in an Electromagnetic Waveguide?

Physical Review Letters ◽

10.1103/physrevlett.95.031301 ◽

2005 ◽

Vol 95 (3) ◽

Cited By ~ 103

Author(s):

Ralf Schützhold ◽

William G. Unruh

Keyword(s):

Hawking Radiation ◽

Electromagnetic Waveguide

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Hayden-Preskill decoding from noisy Hawking radiation

Journal of High Energy Physics ◽

10.1007/jhep02(2021)017 ◽

2021 ◽

Vol 2021 (2) ◽

Author(s):

Ning Bao ◽

Yuta Kikuchi

Keyword(s):

Black Hole ◽

Quantum State ◽

Hawking Radiation ◽

Thought Experiment ◽

Natural Question ◽

Early Radiation

Abstract 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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