This thesis explores the numerous relationships between the entropy of black hole solutions
in supergravity and the entanglement of multipartite systems in quantum information
theory: the so-called black hole/qubit correspondence.
We examine how, through the correspondence, the dyonic charges in the entropy of
supersymmetric black hole solutions are directly matched to the state vector coefficients
in the entanglement measures of their quantum information analogues. Moreover the Uduality
invariance of the black hole entropy translates to the stochastic local operations
and classical communication (SLOCC) invariance of the entanglement measures. Several
examples are discussed, with the correspondence broadening when the supersymmetric
classification of black holes is shown to match the entanglement classification of the
qubit/qutrit analogues.
On the microscopic front, we study the interpretation of D-brane wrapping configurations
as real qubits/qutrits, including the matching of generating solutions on black
hole and qubit sides. Tentative generalisations to other dimensions and qubit systems
are considered. This is almost eclipsed by more recent developments linking the nilpotent
U-duality orbit classi cation of black holes to the nilpotent classi cation of complex
qubits. We provide preliminary results on the corresponding covariant classi cation.
We explore the interesting parallel development of supersymmetric generalisations of
qubits and entanglement, complete with two- and three-superqubit entanglement measures.
Lastly, we briefly mention the supergravity technology of cubic Jordan algebras
and Freudenthal triple systems (FTS), which are used to: 1) Relate FTS ranks to threequbit
entanglement and compute SLOCC orbits. 2) Define new black hole dualities
distinct from U-duality and related by a 4D/5D lift. 3) Clarify the state of knowledge
of integral U-duality orbits in maximally extended supergravity in four, five, and six
dimensions
