A three-qubit interpretation of BPS and non-BPS STU black holes

Abstract

Following the recent trend we develop further the black hole analogy between quantum information theory and the theory of extremal stringy black hole solutions. We show that the three-qubit interpretation of supersymmetric black hole solutions in the STU model can be extended also to include non-supersymmetric ones. First we show that the black hole potential can be expressed as one half the norm of a suitably chosen three-qubit entangled state containing the quantized charges and the moduli. The extremization of the black hole potential in terms of this entangled state amounts to either supressing bit flip errors (BPS-case) or allowing very special types of flips transforming the states between different classes of non-BPS solutions. We are illustrating our results for the example of the D2-D6 system. In this case the bit flip errors are corresponding to sign flip errors of the charges originating from the number of D2 branes. After moduli stabilization the states depending entirely on the charges are maximally entangled graph states (of the triangle graph) well-known from quantum information theory. An N=8 interpretation of the STU-model in terms of a mixed state with fermionic purifications is also given.

35 pages

References in corpus (32)

• Entanglement of Formation of an Arbitrary State of Two Qubits
• Distributed Entanglement
• Multiple Particle Interference and Quantum Error Correction
• N=2 Extremal Black Holes
• Supersymmetry and Attractors
• Macroscopic Entropy of $N=2$ Extremal Black Holes
• Universality of Sypersymmetric Attractors
• Quantum Correlations in Systems of Indistinguishable Particles
• Quantum Correlations in Two-Fermion Systems
• General criterion for the entanglement of two indistinguishable particles
• Non-Supersymmetric Attractors
• Quantum Correlations in Two-Boson Wavefunctions
• Non-Supersymmetric Attractors in String Theory
• The Symplectic Structure of N=2 Supergravity and its Central Extension
• STU Black Holes and String Triality
• Classical and quantum N=2 supersymmetric black holes
• The Non-BPS Black Hole Attractor Equation
• Charge Orbits of Symmetric Special Geometries and Attractors
• String triality, black hole entropy and Cayley's hyperdeterminant
• On N=8 attractors
• Strings, Black Holes, and Quantum Information
• Exact Attractive Non-BPS STU Black Holes
• Stationary solutions of N=2 supergravity
• A generalized skew information and uncertainty relation
• An elementary formula for entanglement entropies of fermionic systems
• Stringy Black Holes and the Geometry of Entanglement
• On some properties of the Attractor Equations
• E_7 and the tripartite entanglement of seven qubits
• General Static N=2 Black Holes
• Strings, black holes, the tripartite entanglement of seven qubits and the Fano plane
• Black holes in N=2 supergravity theories and harmonic functions
• Freezing of Moduli by N=2 Dyons

Cited by in corpus (30)

• Black holes admitting a Freudenthal dual
• The black-hole/qubit correspondence: an up-to-date review
• Three-Qubit Operators, the Split Cayley Hexagon of Order Two and Black Holes
• Freudenthal triple classification of three-qubit entanglement
• On the Black-Hole/Qubit Correspondence
• Wrapped branes as qubits
• Black Hole Entropy and Finite Geometry
• STU Black Holes as Four Qubit Systems
• Special entangled quantum systems and the Freudenthal construction
• Small Orbits
• Observations on Integral and Continuous U-duality Orbits in N=8 Supergravity
• Entanglement of four qubit systems: a geometric atlas with polynomial compass I (the finite world)
• Qubits from extra dimensions
• Qubit Transport Model for Unitary Black Hole Evaporation without Firewalls
• More on N=8 Attractors
• Entanglement of four-qubit systems: a geometric atlas with polynomial compass II (the tame world)
• Hitchin functionals are related to measures of entanglement
• A Note on Exact Solutions and Attractor Mechanism for Non-BPS Black Holes
• The magic three-qubit Veldkamp line: A finite geometric underpinning for form theories of gravity and black hole entropy
• Two-Center Black Holes, Qubits and Elliptic Curves
• The attractor mechanism as a distillation procedure
• Topics in Cubic Special Geometry
• STU attractors from vanishing concurrence
• SAM Lectures on Extremal Black Holes in d=4 Extended Supergravity
• Black hole qubit correspondence from quantum circuits
• Classification of multipartite systems featuring only $|W⟩$ and $|GHZ⟩$ genuine entangled states
• Attractor Flows in st^2 Black Holes
• Peccei-Quinn Transformations and Black Holes : Orbit Transmutations and Entanglement Generation
• Quantum circuit simulation of black hole evaporation and Maxwell demon interpretation
• Black Holes in Supergravity: the non-BPS Branch