Extremal Black Holes as Qudits

Details Extremal Black Holes as Qudits Extremal Black Holes as Qudits

2011-02-06

arxiv.org/abs/1102.1193v2

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, 1 figure, references updated

Scientific paper

We extend the black hole/qudit correspondence by identifying five and six-dimensional 1/2-BPS black string and hole charge vectors in N=8 and N=2 magic supergravities with qubits and qutrits over composition algebras. In D=6, this is accomplished via Hopf fibrations, which map qubits over composition algebras to rank one elements of Jordan algebras of degree two. An analogous procedure maps qutrits over composition algebras to D=5 charge vectors, which are rank one elements of Jordan algebras of degree three. In both cases, the U-duality groups are interpreted as qudit SLOCC transformation groups. We provide explicit gates for such transformations and study their applications in toroidally compactified M-theory.

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