Universal Topological Gates from Braiding and Fusing Anyons on Quantum Hardware

This project occupies a high-moat niche within quantum computing theory. While the GitHub metrics (0 stars, 11 forks) suggest it is currently an academic reference implementation rather than a community-driven tool, the '11 forks' signal significant peer interest or internal research group activity, which is high for a niche physics paper. The defensibility (7) is driven by deep domain expertise; replicating this requires advanced knowledge of non-Abelian topological orders and quantum gate synthesis. It addresses a critical bottleneck: standard topological codes (like the Toric code) are Abelian and require high-overhead 'magic state distillation' for universality. By demonstrating that fusion can bridge the gap to universality in simpler non-Abelian systems, this work directly impacts the roadmap for fault-tolerant hardware. Frontier labs like OpenAI or Anthropic have zero interest here, but hardware labs (Google Quantum AI, Microsoft, Quantinuum) are the primary 'competitors' or adopters. The risk of platform domination is medium because if this protocol proves superior, it will be absorbed into the internal compiler stacks of the major quantum hardware providers. The displacement horizon is long (3+ years) as practical topological quantum hardware is still in its infancy.