Building up spacetime with quantum entanglement

Abstract

In this essay based on 0907.2939, we argue that the emergence of classically connected spacetimes is intimately related to the quantum entanglement of degrees of freedom in a non-perturbative description of quantum gravity. Disentangling the degrees of freedom associated with two regions of spacetime results in these regions pulling apart and pinching off from each other in a way that can be quantified by standard measures of entanglement.

Gravity Research Foundation essay, 7 pages, LaTeX, 5 figures, v2: missing reference to 0907.2939 added

References in corpus (2)

• Holographic Derivation of Entanglement Entropy from AdS/CFT
• Area laws in quantum systems: mutual information and correlations

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• Quantum models based on finite groups
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• Pseudo entropy and pseudo-Hermiticity in quantum field theories
• Reconstructing black hole exteriors and interiors using entanglement and complexity
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• Universal Early-Time Growth in Quantum Circuit Complexity
• AdS backgrounds and induced gravity
• Bohmian trajectories for Kerr-Newman particles in complex space-time
• Horizon causality from holographic scattering in asymptotically dS${}_3$
• Production of Entanglement Entropy by Decoherence
• Pre-geometric Einstein-Cartan Field Equations and Emergent Cosmology
• Driven Non-Unitary Dynamics of Quantum Critical Systems
• Bulk Spacetime Encoding via Boundary Ambiguities
• The Algebraic Structure Underlying Pole-Skipping Points
• Asymmetric interiors for small black holes
• Is Schrödinger's Cat Alive?
• TFD Extension of Open String Field Theory
• The multiple realizability of general relativity in quantum gravity
• Holography without holography: How to turn inter-representational into intra-theoretical relations in AdS/CFT
• Topological Entanglement Entropy in Euclidean AdS3 via Surgery
• Boundary States as Holographic Duals of Trivial Spacetimes
• Handle Operators in String Theory
• Entanglement and Chaos in De Sitter Holography: An SYK Example
• Circuit Complexity From Supersymmetric Quantum Field Theory With Morse Function
• Causal Density Matrices
• What we don't know about time
• Towards bit threads in general gravitational spacetimes
• Perturbative Complexity of Interacting Theory
• Towards a Fisher-information description of complexity in de Sitter universe
• Holographic Foliations: Self-Similar Quasicrystals from Hyperbolic Honeycombs
• A paradox regarding monogamy of entanglement
• Einstein's equations and the pseudo-entropy of pseudo-Riemannian information manifolds
• Curvature from multipartite entanglement in quantum gravity states
• The area operator and fixed area states in conformal field theories
• Holographic complexity for nonlinearly charged Lifshitz black holes
• Emergent gravity in superplastic crystals
• State dependent spread of entanglement in relatively local Hamiltonians
• Comments on the entropic gravity proposal
• Note on quantum entanglement and quantum geometry
• Off-diagonal cosmological solutions in emergent gravity theories and Grigory Perelman entropy for geometric flows
• Twist operators and pseudo entropies in two-dimensional momentum space
• The Firewall Paradox
• Traversable wormhole for string, but not for particle
• Entanglement Entropy and Phase Space Density: Lowest Landau Levels and 1/2 BPS states
• Entanglement Entropy for Open Bosonic Strings on $Dp$-branes
• Time dependent Entanglement Entropy in dissipative conformal theories: TFD approach
• On the Holographic Entanglement Entropy for Non-smooth Entangling Curves in AdS(4)
• Spin-Energy Entanglement of a Time-Focused Neutron
• Toolkit for Scalar Fields in Universes with finite-dimensional Hilbert Space
• Spacetimes as topological spaces, and the need to take methods of general topology more seriously
• Solutions for Mixed States in Open Bosonic String Theory
• Weaving the (AdS) spaces with partial entanglement entropy threads
• Local, non-classical model of Bell correlations
• The Markov gap for geometric reflected entropy
• Geometry-Information Duality: Quantum Entanglement Contributions to Gravitational Dynamics
• A note on Penrose's Spin-Geometry Theorem and the geometry of `empirical quantum angles'
• Emergent Dark Gravity from (Non)Holographic Screens
• On the foundations of quantum theory
• Squashed Entanglement from Generalized Rindler Wedge
• Classical Holographic Codes
• Physics Beyond the Multiverse - Naturalness and the Quest for a Fundamental Theory
• Entanglement in conformal field theory and holography
• Subregion duality, wedge classification and no global symmetries in AdS/CFT
• Building flat space-time from information exchange between quantum fluctuations
• Quantum Correlations in Space-Time: Foundations and Applications
• Potential consequences of wormhole-mediated entanglement
• Generalized volume-complexity for Lovelock black holes
• Space-time emergence from individual interactions
• Realize Emergent Gravity to Generic Situations
• Holographic multipartite entanglement structures in IR modified geometries
• Disentanglement as a strong cosmic censor
• Adiabatic corrections to holographic entanglement in thermofield doubles and confining ground states
• Sharp disentanglement in holographic charged local quench
• Lorentz-covariant sampling theory for fields
• Topological Network Entanglement as Order Parameter for the Emergence of Geometry
• Geometric Flow Description of Minimal Surfaces
• Quantum Error Correction in Loop Quantum Gravity
• On SYK traversable wormhole with imperfectly correlated disorders
• Holographic derivation of a class of short range correlation functions
• Coherent state superpositions, entanglement and gauge/gravity correspondence
• Field theory in Rindler frame and more on the correspondence with thermal field theory formalisms
• Operator Approach to Complexity : Excited States
• ER for typical EPR
• Entanglement Entropy of $(2+1)$D Quantum Critical Points with Quenched Disorder: Dimensional Reduction Approach
• Cyclic Cosmology and Holographic Entanglement Entropy
• Mutual information and holographic entanglement entropy for strongly-coupled R-charged plasmas
• Finite complexity of the de Sitter vacuum
• Effective geometry of Bell-network states on a dipole graph
• Testing ER = EPR with Hydrogen
• A proposal for a metaphysics of self-subsisting structures. II. Quantum physics
• Linearized Einstein's Equation around pure BTZ from Entanglement Thermodynamics
• Detecting quantum chaos via pseudo-entropy
• Illuminating entanglement shadows of BTZ black holes by a generalized entanglement measure
• Quantum harmonic oscillator, entanglement in the vacuum and its geometric interpretation
• Holography versus Correspondence principle: eternal Schwarzschild-anti-de Sitter geometry
• Entanglement in simple spin networks with a boundary
• Holographic Entanglement Entropy for Excited States in Two Dimensional CFT
• Reconstructing the Bulk Dual of ABJM from Holographic Entanglement Entropy
• Long-range correlation of CMB temperature fluctuations from the holographic entanglement entropy
• Purification Complexity without Purifications
• Geometry of Entanglement
• Universal Entanglement and an Information-Complete Quantum Theory
• Quantum entanglement, two-sided spacetimes and the thermodynamic arrow of time
• Massless graviton in a model of quantum gravity with emergent spacetime
• Deep network as memory space: complexity, generalization, disentangled representation and interpretability
• Holographic Entanglement Entropy in Cyclic Cosmology
• On the Relative Distance of Entangled Systems in Emergent Spacetime Scenarios
• Quantum Mechanics in symmetry language
• Scanning space-time with patterns of entanglement
• Spacetime topology from holographic entanglement
• Holographic Fisher Information Metric in Schrödinger Spacetime
• Black Hole Complementarity and ER/EPR
• How is the Presence of Horizons and Localized Matter Encoded in the Entanglement Entropy?
• Bulk quantum corrections to entwinement
• Upper bound of holographic entanglement entropy combinations
• Filtering of higher-dimensional entanglement networks using information volumes
• A possible connection between quantum mechanics and spacetime
• A Information-Theoretic View on Spacetime
• Quantum information measures and their applications in quantum field theory
• Quantum state of fields in $SU(\infty )$ Quantum Gravity ($SU(\infty )$-QGR)
• Gravity from micro-equilibration
• Quantum Hall Effect and Black Hole Entropy in Loop Quantum Gravity
• The area and volume laws for entanglement of scalar fields in flat and cosmological spacetimes
• Hawking modes and the optimal disperser : Holographic lessons from the observer's causal-patch unitarity
• On the nature of the black hole information problem
• Holography for de Sitter bubble geometries
• Excitations of Quantum Many-Body Systems via Purified Ensembles: A Unitary-Coupled-Cluster-based Approach
• The Standard Model Symmetry and Qubit Entanglement
• Quantum origin of the Minkowski space
• Spectral Projections for Density Matrices in Quantum Field Theories
• Building spacetime from effective interactions between quantum fluctuations
• Spacetime from Entanglement: The Emergence of Metric, Gravity, or Topology
• Elliptic String Solutions in AdS(3) and Elliptic Minimal Surfaces in AdS(4)
• Entanglement Entropy of Compactified Branes and Phase Transition
• Is monogamy of entanglement geometrical?
• Quasiparticle picture from the Bekenstein bound
• Entanglement Spreading and Oscillation
• Emergence of cosmological Friedmann equations from quantum entanglement
• Lubkin-Page typicality bounds for Type~II von~Neumann factors
• Time from quantum state complexity and the pace of time flow
• Position dependence of the holographic entanglement entropy for an accelerating quark-antiquark pair
• Coarse-Grained Fixed-Point Tensor Networks and Holographic Reflected Entropy in 3D Gravity
• Hofstadter's Butterfly in AdS${}_3$ Black Holes
• Correlations in geometric states
• Thermal Time and Kepler's Second Law
• AdS/CFT correspondence: the fountain of quantum youth
• Bridging Worldsheet CFTs and Wormholes
• Possible fluid interpretation and tidal force equation on a generic null hypersurface in Einstein-Cartan theory
• A class of entangled and diffeomorphism-invariant states in loop quantum gravity: Bell-network states
• SpaceTime from Hilbert Space: Decompositions of Hilbert Space as Instances of Time
• On the nonclassicality in quantum JT gravity
• Generalised Entanglement Entropies from Unit-Invariant Singular Value Decomposition
• Quantum Entanglement Induced by Gravitational Potential
• Nuclear decay parameter oscillations as possible signal of quantum-mechanical nonlinearity and emergent gravity
• Entangled particle-states localized on curved space-time
• Entanglement groups
• Topological entanglement entropy of the BTZ black hole
• Universal terms of the entanglement entropy in a static closed universe
• Does Quantum Mechanics Breed Larger, More Intricate Quantum Theories? The Case for Experience-Centric Quantum Theory and the Interactome of Quantum Theories
• Ensemble averaging in JT gravity from entanglement in Matrix Quantum Mechanics
• AdS3's with and without BTZ's
• Quantum entanglement and the non-orientability of spacetime
• Is Bit It? On the Theme of Wheeler's It From Bit
• Holographic entanglement renormalisation for fermionic quantum matter
• Entanglement and mixed states of Young tableau states in gauge/gravity correspondence
• Fluctuations and non-Gaussianity in de Sitter spacetime from holographic entanglement entropy