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arXiv · 2411.00628

Topological QBits in Flux-Quantized Super-Gravity

Hisham Sati·Urs Schreiber
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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.

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Hisham Sati, Urs Schreiber. 2024-11-01. Topological QBits in Flux-Quantized Super-Gravity. https://arxiv.org/abs/2411.00628

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