Hayden-Preskill decoding from noisy Hawking 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.

19 pages, 7 figures; clarifying comments and references added

References in corpus (4)

• Black holes as mirrors: quantum information in random subsystems
• Critical properties of the measurement-induced transition in random quantum circuits
• Chaos, Complexity, and Random Matrices
• The mother of all protocols: Restructuring quantum information's family tree

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• Deterministic Fast Scrambling with Neutral Atom Arrays
• Barren plateaus from learning scramblers with local cost functions
• Pointer states and quantum Darwinism with 2-body interactions
• Information scrambling -- a quantum thermodynamic perspective
• Hayden-Preskill protocol and decoding Hawking radiation at finite temperature
• Onset of scrambling as a dynamical transition in tunable-range quantum circuits
• Hayden-Preskill recovery in chaotic and integrable unitary circuit dynamics
• Simulating Floquet scrambling circuits on trapped-ion quantum computers
• Black Hole Cannibalism
• Explicit decoders using fixed-point amplitude amplification based on QSVT