Homological origin of transversal implementability of logical diagonal gates in quantum CSS codes

This project represents deep technical research in quantum error correction (QEC). The '0 stars' and low velocity are typical for highly specialized academic repositories that serve as the backing for an arXiv paper rather than a consumer software tool. The defensibility is high (8) because the 'moat' is purely intellectual: understanding the mapping between homological data and transversal gate implementation requires advanced PhD-level knowledge of both algebraic topology and quantum computing. Frontier labs like OpenAI or Anthropic have zero interest in this domain, as it pertains to the physical and logical architecture of quantum hardware, which is the domain of IBM, Google Quantum AI, and Quantinuum. The risk of platform domination is low because we are currently in the pre-threshold era of quantum computing where theoretical breakthroughs in gate implementation are prerequisites for building platforms, not features added to them. The specific contribution—classifying diagonal gates—is a critical 'Lego brick' for the future of fault-tolerant quantum computing (FTQC). The displacement horizon is 3+ years because, while QEC research is active, foundational homological classifications of codes tend to be durable academic contributions.