The black-hole/qubit correspondence: an up-to-date review

Abstract

We give a review of the black-hole/qubit correspondence that incorporates not only the earlier results on black hole entropy and entanglement measures, seven qubits and the Fano plane, wrapped branes as qubits and the attractor mechanism as a distillation procedure, but also newer material including error-correcting codes, Mermin squares, Freudenthal triples and 4-qubit entanglement classification.

66 pages, 11 figures, to appear in Classical and Quantum Gravity special focus issue on relativistic quantum information

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Cited by in corpus (61)

• Black holes in N=8 supergravity from SO(4,4) hidden symmetries
• Seed for general rotating non-extremal black holes of N=8 supergravity
• Tripartite entanglement: Foundations and applications
• A new N=1 AdS4 Vacuum of Maximal Supergravity
• Entanglement of four qubit systems: a geometric atlas with polynomial compass I (the finite world)
• Specific Heats and Schottky Peaks for Black Holes in Extended Thermodynamics
• Grassmannian Connection Between Three- and Four-Qubit Observables, Mermin's Contextuality and Black Holes
• Entanglement in fermionic Fock space
• Freudenthal Dual Lagrangians
• Qubit Transport Model for Unitary Black Hole Evaporation without Firewalls
• Exceptional Lie Algebras, SU(3) and Jordan Pairs Part 2: Zorn-type Representations
• Qubits and oriented matroids in four time and four space dimensions
• Entanglement of four-qubit systems: a geometric atlas with polynomial compass II (the tame world)
• Entanglement classification of three fermions with up to nine single-particle states
• Four-qubit pure states as fermionic states
• Phirotopes, Super p-branes and Qubit Theory
• Embedding qubits into fermionic Fock space, peculiarities of the four-qubit case
• Graph Theory and Qubit Information Systems of Extremal Black Branes
• Quantum contextual finite geometries from dessins d'enfants
• Hitchin functionals are related to measures of entanglement
• Mermin pentagrams arising from Veldkamp lines for three qubits
• The magic three-qubit Veldkamp line: A finite geometric underpinning for form theories of gravity and black hole entropy
• M-theory Cosmology, Octonions, Error Correcting Codes
• Taxonomy of Polar Subspaces of Multi-Qubit Symplectic Polar Spaces of Small Rank
• Dirac Equation in Four Time and Four Space Dimensions
• Black holes and general Freudenthal transformations
• Toric Geometry and String Theory Descriptions of Qudit Systems
• Black Holes and Higher Composition Laws
• Weighted Graph Theory Representation of Quantum Information Inspired by Lie Algebras
• What can we learn about islands and state paradox from quantum information theory?
• Black hole qubit correspondence from quantum circuits
• Entropy of non-extremal STU black holes: the F-invariant unveiled
• D = 3 Unification of Curious Supergravities
• Quantum entanglement in finite-dimensional Hilbert spaces
• Stationary $D=4$ Black Holes in Supergravity: The Issue of Real Nilpotent Orbits
• Qubits from Adinkra Graph Theory via Colored Toric Geometry
• A Finite-Geometric Classification of Three-Qubit Mermin Pentagrams
• Freudenthal ranks: GHZ vs. W
• Compactifications of Deformed Conifolds, Branes and the Geometry of Qubits
• Division-Alebra/Poncare-Conjecture correspondence
• Quantum entanglement, Calabi-Yau manifolds, and noncommutative algebraic geometry
• Multi-Centered Invariants, Plethysm and Grassmannians
• Adiabatic transport of qubits around a black hole
• M-theory, Black Holes and Cosmology
• Lagrangian Grassmannians and Spinor Varieties in Characteristic Two
• Magic Three-Qubit Veldkamp Line and Veldkamp Space of the Doily
• Exceptional Periodicity and Magic Star Algebras. I : Foundations
• Multi-qubits and Polyvalent Singularity in Type II Supestring Theory
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• Jordan Algebraic Interpretation of Maximal Parabolic Subalgebras : Exceptional Lie Algebras
• BPS Black Hole Entropy and Attractors in Very Special Geometry. Cubic Forms, Gradient Maps and their Inversion
• U-Duality and the Leech Lattice
• Quantum circuit simulation of black hole evaporation and Maxwell demon interpretation
• Entanglement Entropy and Quantum Phase Transition in the $O(N)$ $\sigma$-model
• Qubit entanglement: A Jordan algebraic perspective
• An Acataleptic Universe
• Doily as Subgeometry of a Set of Nonunimodular Free Cyclic Submodules
• Introduction to the special issue dedicated to Michael J. Duff FRS on the occasion of his 70th birthday
• From Binary Error Correcting Codes to a Relation Between Maximal D=4 and D=3 Supergravities
• Quantum Information and Elementary Particles
• Entanglement distillation using Schur-Weyl decomposition for three qubits