On the Black-Hole/Qubit Correspondence

Abstract

The entanglement classification of four qubits is related to the extremal black holes of the 4-dimensional STU model via a time-like reduction to three dimensions. This correspondence is generalised to the entanglement classification of a very special four-way entanglement of eight qubits and the black holes of the maximally supersymmetric N = 8 and exceptional magic N = 2 supergravity theories.

32 pages, very minor changes at the start of Sec. 4.1. Version to appear in The European Physical Journal - Plus

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• Three qubits can be entangled in two inequivalent ways
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• N=2 Extremal Black Holes
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• Absolute Maximal Entanglement and Quantum Secret Sharing
• The black-hole/qubit correspondence: an up-to-date review
• State Operator Correspondence and Entanglement in AdS_2/CFT_1
• Black holes in N=8 supergravity from SO(4,4) hidden symmetries
• Brane orbits
• Invariant Differential Operators for Non-Compact Lie Algebras Parabolically Related to Conformal Lie Algebras
• Small Orbits
• Exceptional Lie Algebras, SU(3) and Jordan Pairs Part 2: Zorn-type Representations
• Qubit Transport Model for Unitary Black Hole Evaporation without Firewalls
• Phirotopes, Super p-branes and Qubit Theory
• Graph Theory and Qubit Information Systems of Extremal Black Branes
• Hitchin functionals are related to measures of entanglement
• Two-Center Black Holes, Qubits and Elliptic Curves
• Jordan Pairs, E6 and U-Duality in Five Dimensions
• Extremal Black Holes as Qudits
• Dirac Equation in Four Time and Four Space Dimensions
• Qubits from Black Holes in M-theory on K3 Surface
• Black holes and general Freudenthal transformations
• Toric Geometry and String Theory Descriptions of Qudit Systems
• Black Holes and Higher Composition Laws
• Black hole qubit correspondence from quantum circuits
• Magic Coset Decompositions
• Qubits from Adinkra Graph Theory via Colored Toric Geometry
• Sextonions, Zorn Matrices, and ${\mathbf{e}}_{7\frac{1}{2}}$
• Relation Between Stereographic Projection and Concurrence Measure in Bipartite Pure States
• Qubit and Fermionic Fock Spaces from Type II Superstring Black Holes
• Four-qubit Systems and Dyonic Black Hole-Black Branes in Superstring Theory
• Multi-Centered Invariants, Plethysm and Grassmannians
• Stringy Dyonic Solutions and Clifford Structures
• Peccei-Quinn Transformations and Black Holes : Orbit Transmutations and Entanglement Generation
• Exceptional Periodicity and Magic Star Algebras. I : Foundations
• Clifford algebras, algebraic spinors, quantum information and applications
• Quantum circuit simulation of black hole evaporation and Maxwell demon interpretation
• U-Duality and the Leech Lattice
• 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
• Scalable and fault-tolerant preparation of encoded k-uniform states