One-shot decoupling and Page curves from a dynamical model for black hole evaporation

Abstract

One-shot decoupling is a powerful primitive in quantum information theory and was hypothesized to play a role in the black hole information paradox. We study black hole dynamics modeled by a trilinear Hamiltonian whose semiclassical limit gives rise to Hawking radiation. An explicit numerical calculation of the discretized path integral of the S-matrix shows that decoupling is exact in the continuous limit, implying that quantum information is perfectly transferred from the black hole to radiation. A striking consequence of decoupling is the emergence of an output radiation entropy profile that follows Page's prediction. We argue that information transfer and the emergence of Page curves is a robust feature of any multi-linear interaction Hamiltonian with a bounded spectrum.

4 pages, 3 figures. To appear in Physical Review Letters

References in corpus (7)

• Black holes as mirrors: quantum information in random subsystems
• The mother of all protocols: Restructuring quantum information's family tree
• Observation of Incipient Black Holes and the Information Loss Problem
• The decoupling approach to quantum information theory
• Radiation from a collapsing object is manifestly unitary
• Parametric down conversion with a depleted pump as a model for classical information transmission capacity of quantum black holes
• Hiking a generalized Dyck path: A tractable way of calculating multimode boson evolution operators

Cited by in corpus (12)

• A Random Unitary Circuit Model for Black Hole Evaporation
• What is Information?
• Pump depletion in parametric down-conversion with low pump energies
• Note on entropy dynamics in the Brownian SYK model
• Tensor Network Models of Unitary Black Hole Evaporation
• Reliability Function of Quantum Information Decoupling via the Sandwiched Rényi Divergence
• Modifications of the Page Curve from correlations within Hawking radiation
• Hiking a generalized Dyck path: A tractable way of calculating multimode boson evolution operators
• Optimal quantum sensing of the nonlinear bosonic interactions using Fock states
• Stimulated Emission of Radiation and the Black Hole Information Problem
• Spontaneous parametric down conversion with a depleted pump as an analogue for black hole evaporation/particle production
• Paradox No More: How Stimulated Emission of Radiation Preserves Information Absorbed by Black Holes