Basic Information Paper: Towards Solving Industrial Integer Linear Programs with Decoded Quantum Interferometry arXiv ID: 2509.08328v1 Submission Date: September 10, 2025 Core contribution Converting the ILP into instances of max-XORSAT Developing a detailed quantum circuit implementation for belief propagation, a heuristic algorithm for decoding LDPC codes. 1.Converting the ILP into instances of max-XORSAT 1.1: Convert