2006/02/28 by Renata Kallosh, Рената Каллош, Andrei Linde · 4 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Black brane #Black hole (networking) #Black hole complementarity #Cosmology and Gravitation Theories #Entropy (arrow of time) #Extremal black hole #Mathematical physics #Noncommutative and Quantum Gravity Theories #Physics #Quantum #Quantum entanglement #Quantum mechanics #Qubit #String theory #Theoretical physics #astro-ph #gr-qc #hep-ph #hep-th #quant-ph
paper · pdf · doi:10.1103/physrevd.73.104033
published as Phys.Rev.D73:104033,2006 · 31 pages, 10 figures. A version to appear in Physical Review
arxiv created 2006/05/04 · openalex publication_date 2006/05/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We find multiple relations between extremal black holes in string theory and 2- and 3-qubit systems in quantum information theory. We show that the entropy of the axion-dilaton extremal black hole is related to the concurrence of a 2-qubit state, whereas the entropy of the STU black holes, Bogomol'nyi-Prasad-Sommerfield (BPS) as well as non-BPS, is related to the 3-tangle of a 3-qubit state. We relate the 3-qubit states with the string theory states with some number of D-branes. We identify a set of large black holes with the maximally entangled Greenberger, Horne, Zeilinger (GHZ) class of states and small black holes with separable, bipartite, and W states. We sort out the relation between 3-qubit states, twistors, octonions, and black holes. We give a simple expression for the entropy and the area of stretched horizon of small black holes in terms of a norm and 2-tangles of a 3-qubit system. Finally, we show that the most general expression for the black hole and black ring entropy in N=8 supergravity/M theory, which is given by the famous quartic Cartan E7(7) invariant, can be reduced to Cayley's hyperdeterminant describing the 3-tangle of a 3-qubit state.