The State-Operator Clifford Compatibility: A Real Algebraic Framework for Quantum Information

This project is a purely academic contribution to mathematical physics and quantum information science. With 0 stars and 1 fork over 126 days, it has no software traction or implementation. The defensibility is low because the 'product' is a set of mathematical proofs and identities which are public domain once published. Frontier labs like OpenAI or Google are unlikely to adopt this as they rely on standard complex-valued linear algebra (Hermitian matrices in Hilbert space) which is the industry standard for both quantum simulation and hardware control. The framework's value lies in its 'real' (vs complex) representation, which can sometimes simplify calculations in specific Geometric Algebra contexts (e.g., Hestenes or Doran frameworks), but it lacks a software library to make these advantages accessible to practitioners. Competitive projects include established Geometric Algebra libraries like 'clifford' (Python) or 'GAlib', but this project is currently just a paper (ArXiv:2512.07902v3).