Quantum simulation patterns are being optimized for near-term devices, with a focus on measurement-based quantum computing. This approach relies on applying measurement patterns to predefined quantum resource states to execute quantum logic. However, optimizing these patterns is highly complex due to the interplay between hardware and software constraints, making it use-dependent and challenging to scale. Researchers are working to develop scalable measurement-based quantum simulation patterns to address this issue, with a focus on benchmarking and large-scale pattern optimization1. The development of these patterns is crucial for the advancement of quantum computing, particularly in the context of quantum simulation. As quantum technologies continue to advance, the need for post-quantum cryptography planning becomes increasingly urgent, particularly in fields like DeFi where quantum developments are narrowing the timeline for cryptographic migration. This underscores the importance of optimizing quantum simulation patterns to ensure the development of secure and efficient quantum computing systems.