Topological QBits in Flux-Quantized Super-Gravity
Abstract
We first give a brief exposition of our recent realization of anyonic quantum states on single M5-brane probes in 11D super-gravity backgrounds, by non-perturbative quantization of the topological sector of the self-dual tensor field on the 6D worldvolume, after its proper flux-quantization. This opens the prospect of holographic models for topological qbits away from the usual but unrealistic limit of large numbers of branes. At the same time, the elementary homotopy-theoretic nature of the construction yields a slick expression of topological quantum gates in homotopically-typed programming languages, opening the prospect of topological-hardware aware quantum programming. In view of these results, we end with some more meta-physical remarks on (cohesive) homotopy (type) theory in view of emergent fundamental physics and, possibly, M-theory.
Cite
@article{arxiv.2411.00628,
title = {Topological QBits in Flux-Quantized Super-Gravity},
author = {Hisham Sati and Urs Schreiber},
journal= {arXiv preprint arXiv:2411.00628},
year = {2025}
}
Comments
16 pages, some figures -- invited contribution to: Arsiwalla, Elshatlawy & Rickles (eds.) "Quantum Gravity and Computation"