aiqbench analysis

This study presents a scalable framework for fermion-to-qubit mappings that achieves arbitrary code distance without increasing stabilizer weights, overcoming a key limitation in quantum error correction. By embedding low-distance encodings into surface codes via topological defects, the research establishes optimal relationships between code distance and operator weights across one- and two-dimensional systems. The introduction of Perforated Encodings further demonstrates the method's versatility when applied to other topological structures like color codes.