Mixed-state entanglement and information recovery in thermalized states and evaporating black holes

Abstract

We study the universal behavior of quantum information-theoretic quantities in thermalized isolated quantum many-body systems and evaporating black holes. In particular, we study a genuine mixed-state entanglement measure called the logarithmic negativity, other correlation measures including the Renyi negativities and the mutual information, and a signature of multipartite entanglement called the reflected entropy. We also probe the feasibility of recovering quantum information from subsystems of a thermalized quantum many-body system or from the radiation of an evaporating black hole, using quantities such as relative entropy and Petz map fidelity. A recently developed technique called the equilibrium approximation allows us to probe these quantities at finite temperature. We find striking qualitative differences from the infinite temperature case, which has been the topic of previous studies using Haar-random states. In particular, we find regimes where the logarithmic negativity is extensive but the mutual information is sub-extensive, indicating a large amount of undistillable, bound entanglement in thermalized states. For evaporating black holes at finite temperature, both the logarithmic negativity and the Petz map fidelity reveal an important new time scale $t_b$, which is earlier than the Page time $t_p$ by a finite fraction of the total evaporation time. We find that $t_b$, as opposed to $t_p$, is the time scale at which quantum entanglement between different parts of the radiation becomes extensive, and the fidelity of information recovery for a large diary thrown into the black hole starts to grow.

arXiv comment114 pages, 35 figures

References in corpus (48)

• Mixed State Entanglement and Quantum Error Correction
• Separability Criterion for Density Matrices
• A computable measure of entanglement
• Separability of Mixed States: Necessary and Sufficient Conditions
• Concentrating Partial Entanglement by Local Operations
• Peres-Horodecki separability criterion for continuous variable systems
• Average Entropy of a Subsystem
• The logarithmic negativity: A full entanglement monotone that is not convex
• Black Holes: Complementarity or Firewalls?
• On the volume of the set of mixed entangled states
• Black holes as mirrors: quantum information in random subsystems
• Mixed-state entanglement and distillation: is there a ``bound'' entanglement in nature?
• Replica Wormholes and the Entropy of Hawking Radiation
• The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole
• "Squashed Entanglement" - An Additive Entanglement Measure
• Strong and weak thermalization of infinite non-integrable quantum systems
• Aspects of generic entanglement
• Time Dependence of Hawking Radiation Entropy
• The asymptotic entanglement cost of preparing a quantum state
• Mixed-state entanglement from local randomized measurements
• A comparison of entanglement measures
• The entanglement cost under operations preserving the positivity of partial transpose
• Canonical Thermal Pure Quantum State
• Monotonicity of quantum relative entropy revisited
• Machine Learning Assisted Many-Body Entanglement Measurement
• Universal recovery maps and approximate sufficiency of quantum relative entropy
• Entanglement Wedge Cross Sections Require Tripartite Entanglement
• Detecting Topological Order at Finite Temperature Using Entanglement Negativity
• Learning the Alpha-bits of Black Holes
• Structure of chaotic eigenstates and their entanglement entropy
• Entanglement negativity via replica trick: a Quantum Monte Carlo approach
• Distillability via protocols respecting the positivity of partial transpose
• Bit Threads and Holographic Monogamy
• Holographic entanglement negativity and replica symmetry breaking
• Entanglement negativity spectrum of random mixed states: A diagrammatic approach
• Entanglement Renyi negativity across a finite temperature transition: a Monte Carlo study
• Entanglement entropies of equilibrated pure states in quantum many-body systems and gravity
• Algebraic and information-theoretic conditions for operator quantum error-correction
• The Page Curve for Reflected Entropy
• Entanglement dynamics of a many-body localized system coupled to a bath
• Enhanced corrections near holographic entanglement transitions: a chaotic case study
• A dynamical mechanism for the Page curve from quantum chaos
• Replica Wormholes and Holographic Entanglement Negativity
• Irreversibility of Asymptotic Entanglement Manipulation Under Quantum Operations Completely Preserving Positivity of Partial Transpose
• Negativity Spectra in Random Tensor Networks and Holography
• Entanglement transitions as a probe of quasiparticles and quantum thermalization
• Bound entanglement in thermalized states and black hole radiation
• Symmetry protected entanglement in random mixed states

Cited by in corpus (10)

• Replica Wormholes and Holographic Entanglement Negativity
• Reflected entropy is not a correlation measure
• Reflected Entropy for Communicating Black Holes I: Karch-Randall Braneworlds
• Reflected entropy in BCFTs on a black hole background
• A Modified Cosmic Brane Proposal for Holographic Renyi Entropy
• Black holes Entangled by Radiation
• Entanglement Negativity and Replica Symmetry Breaking in General Holographic States
• On Quantum Information Before the Page Time
• Does connected wedge imply distillable entanglement?
• Boundary mutual information in double holography