# Strings, black holes, the tripartite entanglement of seven qubits and the Fano plane

**Authors:** Péter Lévay  
**arXiv:** [hep-th/0610314](https://arxiv.org/abs/hep-th/0610314)  
**Date:** 2006-10-30  
**Summary page:** https://www.summarizepaper.com/en/paper/hep-th--0610314v2/

## Key points

- Study explores connection between quantum entanglement, discrete geometry, and string theory
- Focus on $E_7$ group describing specific quantum entanglement with seven qubits in tripartite systems
- Link between entanglement and discrete geometry of the Fano plane
- Analysis of $E_7$ generators in a 56-dimensional representation space
- Dual relationship observed between three and four tripartite systems in black hole entropy expressions within N=4 and N=2 truncations of $E_{7(7)}$ symmetric area form
- Frameworks based on other qubit systems may offer insights into black hole solutions within magic supergravities

## Summary

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The study titled "Strings, black holes, the tripartite entanglement of seven qubits and the Fano plane" by Péter Lévay explores the unique connection between quantum entanglement, discrete geometry, and string theory. The research focuses on how the $E_7$ group can describe a specific form of quantum entanglement involving seven qubits organized into tripartite systems. This type of entanglement is intricately linked to the discrete geometry of the Fano plane. The study provides a detailed analysis of how $E_7$ generators act within a 56-dimensional representation space. This extends previous investigations that draw parallels between quantum information theory and supersymmetric black holes in four-dimensional string theory. A significant finding is the dual relationship observed between three and four tripartite systems, reflected in expressions for black hole entropy within N=4 and N=2 truncations of $E_{7(7)}$ symmetric area form in N=8 supergravity. The researchers propose that similar frameworks based on other qubit systems could offer insights into black hole solutions within magic supergravities. Overall, this study sheds light on the intricate interplay between quantum entanglement, geometric structures, and string theory while opening up new avenues for exploring connections between different areas of theoretical physics.