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January 18, 20260 citationsOpen Access

Why Zero False Negatives Matter in Quantum Computing

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TYtak chung terence yeung

Key Points

  • The study aims to highlight the significance of zero false negatives in quantum computing error correction and mitigation strategies.
  • Discussed quantum error mitigation strategies focusing on reducing overall error rates.
  • Proposed the use of geometry-based pre-filters as deterministic error prevention layers.
  • Presented a Monte Carlo toy model alongside independent analytical assessments to illustrate concepts.
  • Established that zero false negatives are a crucial design principle in quantum computing.
  • Showed that the GIGL snap-to-grid framework can maintain unitarity and reduce complexity.
  • Framed quantum error control as a structural filtering problem rather than a probabilistic one.

Abstract

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.

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Cite This Study

tak chung terence yeung (2026) studied this question.

synapsesocial.com/papers/696c785beb60fb80d1396891https://doi.org/10.5281/zenodo.18268654
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