Why Zero False Negatives Matter in Quantum Computing

Most quantum error mitigation and correction strategies prioritize reducing overall error rates, typically optimizing for average fidelity or minimizing false positives. In this work, we argue that zero false negatives (ZFN)—the guarantee that no physically admissible quantum state is ever prematurely discarded—represent a more fundamental and under explored design principle in quantum computing architectures. We propose that early-stage, geometry-based pre-filters, such as the GIGL snap-to-grid framework, can serve as deterministic error prevention layers that preserve unitarity and computational completeness while dramatically reducing down stream complexity. This work reframes quantum error control as a structural filtering problem, not merely a probabilistic one. A simple Monte Carlo toy model and independent analytical assessments are presented to illustrate the principle.