Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-02-07
Phys.Rev.D73:104033,2006
Physics
High Energy Physics
High Energy Physics - Theory
31 pages, 10 figures. A version to appear in Physical Review
Scientific paper
10.1103/PhysRevD.73.104033
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, 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 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 E_{7(7)} invariant, can be reduced to Cayley's hyperdeterminant describing the 3-tangle of a 3-qubit state.
Kallosh Renata
Linde Andrei
No associations
LandOfFree
Strings, Black Holes, and Quantum Information does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Strings, Black Holes, and Quantum Information, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Strings, Black Holes, and Quantum Information will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-63328