Schreiber Topological QBits in Flux-Quantized Supergravity

An article that we are finalizing at CQTS:

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• Hisham Sati$\;$ and $\,$ Urs Schreiber:

  
  

  Topological QBits in Flux-Quantized Supergravity

  
  

  download: pdf

  
  

  invited contribution to

  • X. Arsiwalla, H. Elshatlawy & D. Rickles (eds.):

    Quantum Gravity and Computation

    Routledge (2025)

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Abstract. We 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.

Based on:

• Flux Quantization on M5-Branes

• Abelian Anyons on Flux-Quantized M5-Branes

• Topological Quantum Gates in Homotopy Type Theory