High-Level Fault-Tolerant Abstractions for Quantum-Gate Circuit Design and Synthesis: PQC and Topological Anyon Architectures (TQC) for Categorical Computations in SU(2)_3 TQFT and D-brane Stability

Vaidik A Sharma, Sainath Bitragunta

We propose a dual-architecture quantum simulation framework for modeling morphisms and stability conditions in the bounded derived category ${\mathbf{D}}^b(\mathrm{Coh}(X))$, with ap…