Partial islands and subregion complexity in geometric secret-sharing model

Abstract

We compute the holographic subregion complexity of a radiation subsystem in a geometric secret-sharing model of Hawking radiation in the "complexity = volume" proposal. The model is constructed using multiboundary wormhole geometries in AdS${}_3$. The entanglement curve for secret-sharing captures a crossover between two minimal curves in the geometry apart from the usual eternal Page curve present for the complete radiation entanglement. We compute the complexity dual to the secret-sharing minimal surfaces and study their "time" evolution. When we have access to a small part of the radiation, the complexity shows a jump at the secret-sharing time larger than the Page time. Moreover, the minimal surfaces do not have access to the entire island region for this particular case. They can only access it partially. We describe this inaccessibility in the context of "classical" Markov recovery.

version 2: Minor changes, references added, Accepted for publication in JHEP

References in corpus (41)

• The entropy of Hawking radiation
• Quantum Computation as Geometry
• Massive Islands
• Information Transfer with a Gravitating Bath
• Islands in cosmology
• An Information Paradox and Its Resolution in de Sitter Holography
• Page Curve for an Evaporating Black Hole
• Islands in Asymptotically Flat 2D Gravity
• Optimal control, geometry, and quantum computing
• Holographic BCFTs and Communicating Black Holes
• Critical Islands
• Notes on islands in asymptotically flat 2d dilaton black holes
• Entanglement entropy in holographic moving mirror and Page curve
• Quantum Extremal Islands Made Easy, PartIII: Complexity on the Brane
• Islands for Reflected Entropy
• Island in Charged Black Holes
• Islands and complexity of eternal black hole and radiation subsystems for a doubly holographic model
• Dirichlet Baths and the Not-so-Fine-Grained Page Curve
• Islands in charged linear dilaton black holes
• Reflected Entropy for an Evaporating Black Hole
• Islands and stretched horizon
• Entanglement between two disjoint universes
• Probing Hawking radiation through capacity of entanglement
• Replica wormholes and capacity of entanglement
• Sewing spacetime with Lorentzian threads: complexity and the emergence of time in quantum gravity
• Warped Information and Entanglement Islands in AdS/WCFT
• Topological shadows and complexity of islands in multiboundary wormholes
• Islands for Entanglement Negativity
• Moving mirrors, Page curves and bulk entropies in AdS${}_2$
• Page Curve for Entanglement Negativity through Geometric Evaporation
• A Killing Vector Treatment of Multiboundary Wormholes
• Cosmological singularities, entanglement and quantum extremal surfaces
• Holographic Complexity and Fidelity Susceptibility as Holographic Information Dual to Different Volumes in AdS
• Islands in the Stream of Hawking Radiation
• Hints of Gravitational Ergodicity: Berry's Ensemble and the Universality of the Semi-Classical Page Curve
• Volume complexity for Janus ${\mathrm{AdS}}_3$ geometries
• Complexity in a moving mirror model
• Volume complexity for the non-supersymmetric Janus AdS${}_5$ geometry
• Page Curve from Defect Extremal Surface and Island in Higher Dimensions
• Holographic moving mirrors
• The Markov gap for geometric reflected entropy

Cited by in corpus (27)

• Entanglement Phase Structure of a Holographic BCFT in a Black Hole Background
• Bath deformations, islands and holographic complexity
• Balanced Partial Entanglement and Mixed State Correlations
• BCFT in a Black Hole Background: An Analytical Holographic Model
• Entanglement Islands in Generalized Two-dimensional Dilaton Black Holes
• Planar Black Holes in Holographic Axion Gravity: Islands, Page Times, and Scrambling Times
• The PEE aspects of entanglement islands from bit threads
• Cosmological and black hole islands in multi-event horizon spacetimes
• The Markov gap in the presence of islands
• Pseudo complexity of purification for free scalar field theories
• Defect extremal surfaces for entanglement negativity
• Page Curve for Eternal Schwarzschild Black Hole in Dimensionally-Reduced Model of Dilaton Gravity
• Holographic complexity of Jackiw-Teitelboim gravity from Karch-Randall braneworld
• Generalized Volume-Complexity For Two-Sided Hyperscaling Violating Black Branes
• Entropy of Radiation with Dynamical Gravity
• Reflected Entropy and Entanglement Negativity for Holographic Moving Mirrors
• Infrared Regularization and Finite Size Dynamics of Entanglement Entropy in Schwarzschild Black Hole
• Black holes Entangled by Radiation
• Mixed state information theoretic measures in boosted black brane
• Delicate windows into evaporating black holes
• Page Curve of AdS-Vaidya Model for Evaporating Black Holes
• Entanglement inside a black hole before the Page time
• Encoded information of mixed correlations: the views from one dimension higher
• Effect of backreaction on Island, Page curve and Mutual Information
• Information theoretic measures for Lifshitz system
• Resource and stability near a critical point from the quantum information perspective
• Boundary mutual information in double holography