Hayden-Preskill decoding from noisy Hawking radiation

TL;DR

This paper investigates how noise and decoherence in early Hawking radiation affect the ability to decode quantum information in the Hayden-Preskill thought experiment, highlighting the robustness of quantum information retrieval under realistic conditions.

Contribution

It introduces an analysis of the Hayden-Preskill decoding process considering noise and decoherence, extending understanding of quantum information recovery in black hole radiation.

Findings

Decoherence reduces the fidelity of quantum state recovery.

Noise in early radiation storage impacts decoding success rates.

The study provides bounds on recoverability under realistic noise conditions.

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.