Recent work has established a correspondence between the tripartite entanglement measure of three qubits and the macroscopic entropy of the four-dimensional 8-charge $STU$ black hole of supergravity. Here we consider the configurations of intersecting D3-branes, whose wrapping around the six compact dimensions $T^6$ provides the microscopic string-theoretic interpretation of the charges, and associate the three-qubit basis vectors $|ABC⟩$, ($A$, $B$, $C=0$ or 1) with the corresponding 8 wrapping cycles. In particular, we relate a well-known fact of quantum information theory, that the most general real three-qubit state can be parameterized by four real numbers and an angle, to a well-known fact of string theory, that the most general $STU$ black hole can be described by four D3-branes intersecting at an angle.

• Received 29 February 2008

DOI:https://doi.org/10.1103/PhysRevLett.100.251602