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Published on: February 12, 2013
Better late than never: information retrieval from black holes
Samuel L Braunstein1, Stefano Pirandola, Karol Życzkowski
1Department of Computer Science, University of York, York YO10 5GH, United Kingdom.
Black hole evaporation requires entanglement entropy across the event horizon to preserve the equivalence principle. Information is encoded in quantum correlations and decoded late in evaporation, suggesting a matter-field sum rule.
Area of Science:
- Quantum gravity
- Black hole thermodynamics
- Information paradox
Background:
- The equivalence principle is a cornerstone of general relativity.
- Black hole evaporation poses a challenge to unitarity and information conservation.
- Thermodynamic entropy of black holes is understood through quantum entanglement.
Purpose of the Study:
- To reconcile the equivalence principle with black hole evaporation.
- To explain information encoding and decoding during black hole evaporation.
- To propose a general mechanism for unitary black hole evaporation.
Main Methods:
- Analysis of black hole thermodynamics and quantum entanglement.
- Modeling information flow in evaporating black holes.
- Investigating tripartite quantum states as information carriers.
Main Results:
- Black hole thermodynamic entropy is primarily entanglement entropy across the event horizon.
- Information enters the black hole and is encoded in a tripartite quantum state.
- Information is decoded into outgoing radiation very late in the evaporation process.
Conclusions:
- Unitary black hole evaporation is generically described by highly entangled black holes.
- No specially designed evolution is required for information recovery.
- The study suggests a matter-field sum rule for fundamental theories.
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