Simulating Parallel Pauli Product Measurements on Quantum LDPC Codes: Scheduling, Spatiotemporal Fault Propagation, and Iterative Decoding
This deep-tech article provides a mathematical and computational analysis of parallel Pauli product measurements on quantum LDPC codes using Hypergraph Product construction, conflict graph scheduling, spatiotemporal error modeling, and attenuated Min-Sum belief propagation decoding. It features a complete Python implementation simulating syndrome extraction and error recovery under depolarizing noise.