Islands for Reflected Entropy

Abstract

Recent work has demonstrated the need to include contributions from entanglement islands when computing the entanglement entropy in QFT states coupled to regions of semiclassical gravity. We propose a new formula for the reflected entropy that includes additional contributions from such islands. We derive this formula from the gravitational path integral by finding additional saddles that include generalized replica wormholes. We also demonstrate that our covariant formula satisfies all the inequalities required of the reflected entropy. We use this formula in various examples that demonstrate its relevance in illustrating the structure of multipartite entanglement that are invisible to the entropies.

arXiv comment13 pages, 11 figures, references added in v2

References in corpus (50)

• Holographic Derivation of Entanglement Entropy from AdS/CFT
• Three qubits can be entangled in two inequivalent ways
• Aspects of Holographic Entanglement Entropy
• A Covariant Holographic Entanglement Entropy Proposal
• Eternal Black Holes in AdS
• Black Holes: Complementarity or Firewalls?
• Generalized gravitational entropy
• The information paradox: A pedagogical introduction
• Replica Wormholes and the Entropy of Hawking Radiation
• The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole
• The Page curve of Hawking radiation from semiclassical geometry
• Time Evolution of Entanglement Entropy from Black Hole Interiors
• Four qubits can be entangled in nine different ways
• Black Holes and Random Matrices
• Reconstruction of Bulk Operators within the Entanglement Wedge in Gauge-Gravity Duality
• Holographic duality from random tensor networks
• Maximin Surfaces, and the Strong Subadditivity of the Covariant Holographic Entanglement Entropy
• The Gravity Dual of a Density Matrix
• An Apologia for Firewalls
• Holographic Entanglement of Purification
• A Quantum Focussing Conjecture
• Entanglement Entropy at Large Central Charge
• Entanglement of purification: from spin chains to holography
• Entanglement negativity and minimal entanglement wedge cross sections in holographic theories
• Entanglement Wedge Cross Section from the Dual Density Matrix
• Entropy, Extremality, Euclidean Variations, and the Equations of Motion
• Derivation of holographic negativity in AdS${}_3$/CFT${}_2$
• Entanglement Wedge Reconstruction via Universal Recovery Channels
• Multiboundary Wormholes and Holographic Entanglement
• Decoding the Apparent Horizon: A Coarse-Grained Holographic Entropy
• Simple holographic models of black hole evaporation
• Comments on Entanglement Negativity in Holographic Field Theories
• Entanglement Wedge Cross Sections Require Tripartite Entanglement
• Coarse Graining Holographic Black Holes
• Entanglement Wedge Cross Section from CFT: Dynamics of Local Operator Quench
• Holographic Entanglement of Purification from Conformal Field Theories
• Conditional and Multipartite Entanglements of Purification and Holography
• Holographic Quantum Entanglement Negativity
• Correlation measures and the entanglement wedge cross-section after quantum quenches in two-dimensional conformal field theories
• Entanglement of Purification in Free Scalar Field Theories
• Hot multiboundary wormholes from bipartite entanglement
• Entanglement of Purification in Many Body Systems and Symmetry Breaking
• Quantum and Classical Correlations Inside the Entanglement Wedge
• Multipartite Reflected Entropy
• Spacetime and Universal Soft Modes --- Black Holes and Beyond
• Ignorance is Cheap: From Black Hole Entropy To Energy-Minimizing States In QFT
• Entanglement structures in qubit systems
• Correlation measures and distillable entanglement in AdS/CFT
• The Interior of a Unitarily Evaporating Black Hole
• CFT sewing as the dual of AdS cut-and-paste

Cited by in corpus (61)

• Information Transfer with a Gravitating Bath
• Holographic BCFTs and Communicating Black Holes
• Entanglement entropy in holographic moving mirror and Page curve
• Quantum Extremal Islands Made Easy, PartIII: Complexity on the Brane
• BCFT and Islands in Two Dimensions
• Islands and complexity of eternal black hole and radiation subsystems for a doubly holographic model
• Islands in charged linear dilaton black holes
• Islands and stretched horizon
• The universality of islands outside the horizon
• Probing Hawking radiation through capacity of entanglement
• Quantum Extremal Islands Made Easy, Part IV: Massive Black Holes on the Brane
• Replica wormholes and capacity of entanglement
• Defect Extremal Surface for Reflected Entropy
• Island for Gravitationally Prepared State and Pseudo Entanglement Wedge
• Bath deformations, islands and holographic complexity
• The Page Curve for Reflected Entropy
• Reflected Entropy in Double Holography
• Partial islands and subregion complexity in geometric secret-sharing model
• Entanglement negativity, reflected entropy, and anomalous gravitation
• Topological reflected entropy in Chern-Simons theories
• Islands for Entanglement Negativity
• Reflected entropy for free scalars
• Page Curve for Entanglement Negativity through Geometric Evaporation
• Quantum Extremal Surfaces and the Holographic Entropy Cone
• Page Curve of Effective Hawking Radiation
• Island may not save the information paradox of Liouville black holes
• The Markov gap in the presence of islands
• JT Gravity from Partial Reduction and Defect Extremal Surface
• Reflected entropy in random tensor networks II: a topological index from the canonical purification
• Ephemeral Islands, Plunging Quantum Extremal Surfaces and BCFT channels
• Entanglement entropy analysis of dyonic black holes using doubly holographic theory
• Island formula in Planck brane
• Defect extremal surfaces for entanglement negativity
• Ownerless island and partial entanglement entropy in island phases
• Islands in the Stream of Hawking Radiation
• Grey-body Factors, Irreversibility and Multiple Island Saddles
• Reflected Entropy for Communicating Black Holes I: Karch-Randall Braneworlds
• Complexity in a moving mirror model
• Entanglement between two evaporating black holes
• Reflected entropy in BCFTs on a black hole background
• Entanglement entropy and vacuum states in Schwarzschild geometry
• Reflected Entropy and Entanglement Negativity for Holographic Moving Mirrors
• Universal entanglement signatures of interface conformal field theories
• A comment on a fine-grained description of evaporating black holes with baby universes
• Reflected entropy in Galilean conformal field theories and flat holography
• Bounding entanglement wedge cross sections
• Holographic Reflected Entropy and Islands in Interface CFTs
• Black Hole Information Recovery in JT Gravity
• Page Curve of AdS-Vaidya Model for Evaporating Black Holes
• Bridging Boundaries: $T\bar{T}$, Double Holography, and Reflected Entropy
• Page Curve from Defect Extremal Surface and Island in Higher Dimensions
• Holographic moving mirrors
• Entanglement inside a black hole before the Page time
• The Markov gap for geometric reflected entropy
• Covariant holographic reflected entropy in $Ad{S}_3/CF{T}_2$
• Effect of backreaction on Island, Page curve and Mutual Information
• Does connected wedge imply distillable entanglement?
• Entanglement wedge cross section inequalities in AdS/BCFT
• Renyi reflected entropy and entanglement wedge cross section with cosmic branes in AdS/BCFT
• Holographic Reflected Entropy: Islands and Defect Phases
• Coarse-Grained Fixed-Point Tensor Networks and Holographic Reflected Entropy in 3D Gravity