Better Late than Never: Information Retrieval from Black Holes

Abstract

We show that, in order to preserve the equivalence principle until late times in unitarily evaporating black holes, the thermodynamic entropy of a black hole must be primarily entropy of entanglement across the event horizon. For such black holes, we show that the information entering a black hole becomes encoded in correlations within a tripartite quantum state, the quantum analogue of a one-time pad, and is only decoded into the outgoing radiation very late in the evaporation. This behavior generically describes the unitary evaporation of highly entangled black holes and requires no specially designed evolution. Our work suggests the existence of a matter-field sum rule for any fundamental theory.

Change of title to reflect information return. The physics of "energetic curtains" remains unchanged

References in corpus (12)

• Black Holes: Complementarity or Firewalls?
• Black holes as mirrors: quantum information in random subsystems
• The information paradox: A pedagogical introduction
• Holographic Entanglement Entropy: An Overview
• The mother of all protocols: Restructuring quantum information's family tree
• Quantum information cannot be completely hidden in correlations: implications for the black-hole information paradox
• Black hole entropy as entanglement entropy: a holographic derivation
• Quantization in black hole backgrounds
• Experimental Test of Quantum No-Hiding Theorem
• Black hole evaporation rates without spacetime
• Finite entanglement entropy from the zero-point-area of spacetime
• Entanglement and Thermodynamics of Black Hole Entropy

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