Quantum-Enhanced Geometric Complexity Measures

Jincheng Zhang

Published Sep 4, 2026• 0 citations

Abstract

This paper introduces a novel set of geometric complexity measures designed to be intrinsically quantum-resistant, offering a robust benchmark for evaluating the complexity of complex systems. The core mechanism centers around the "Quantum-Controlled Complexity" algorithm, which quantifies complexity through the analysis of quantum interference patterns. We demonstrate the effectiveness of this approach through rigorous theoretical analysis and preliminary experiments, highlighting its potential to surpass existing methods in assessing the intricate dynamics of complex systems. The paper explores the implications of quantum-enhanced geometric complexity for fields ranging from materials science to computational biology, suggesting a paradigm shift in how we understand and quantify complexity.

DOI: 10.5281/zenodo.22300496

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