Qubits from extra dimensions

TL;DR

This paper explores the connection between black hole-qubit correspondence and extra dimensions in string theory, showing how qubits naturally emerge from toroidal compactifications and relating entanglement structures to moduli stabilization.

Contribution

It demonstrates the natural emergence of qubits from geometrical data in string compactifications and extends the attractor mechanism to flux attractors in F-theory.

Findings

Qubits arise from toroidal compactifications in string theory.

The attractor mechanism relates to distillation of GHZ-like entangled states.

Qubits are linked to fermionic entanglement in quantum systems.

Abstract

We link the recently discovered black hole-qubit correspondence to the structure of extra dimensions. In particular we show that for toroidal compactifications of type IIB string theory simple qubit systems arise naturally from the geometrical data of the tori parametrized by the moduli. We also generalize the recently suggested idea of the attractor mechanism as a distillation procedure of GHZ-like entangled states on the event horizon, to moduli stabilization for flux attractors in F-theory compactifications on elliptically fibered Calabi-Yau four-folds. Finally using a simple example we show that the natural arena for qubits to show up is an embedded one within the realm of fermionic entanglement of quantum systems with indistinguishable constituents.