Page curves for tripartite systems

Abstract

We investigate information flow and Page curves for tripartite systems. We prepare a tripartite system (say, A, B, and C) of a given number of states and calculate information and entropy contents by assuming random states. Initially, every particle was in A (this means a black hole), and as time goes on, particles move to either B (means Hawking radiation) or C (means a broadly defined remnant, including a non-local transport of information, the last burst, an interior large volume, or a bubble universe, etc.). If the final number of states of the remnant is smaller than that of Hawking radiation, then information will be stored by both of the radiation and the mutual information between the radiation and the remnant, while the remnant itself does not contain information. On the other hand, if the final number of states of the remnant is greater than that of Hawking radiation, then the radiation contains negligible information, while the remnant and the mutual information between the radiation and the remnant contain information. Unless the number of states of the remnant is large enough compared to the entropy of the black hole, Hawking radiation must contain information; and we meet the menace of black hole complementarity again. Therefore, this contrasts the tension between various assumptions and candidates of the resolution of the information loss problem.

arXiv comment19 pages, 11 figures

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Cited by in corpus (11)

• Black Holes: Eliminating Information or Illuminating New Physics?
• Entropy evolution of moving mirrors and the information loss problem
• Broken bridges: A counter-example of the ER=EPR conjecture
• On the implications of the Bekenstein bound for black hole evaporation
• How can we erase states inside a black hole?
• Quantum Circuit Model of Black Hole Evaporation
• Multi-partite analysis of average-subsystem entropies
• Before the Page time: maximum entanglements or the return of the monster?
• Causal structures and dynamics of black-hole-like solutions in string theory
• Demonstration of the Hayden-Preskill protocol via mutual information
• Entanglement and firewalls in quantum circuit model of black hole evaporation