Quantum State-Based Complexity Assessment

Jincheng Zhang

Published Sep 3, 2026• 0 citations

Abstract

This paper introduces a novel computational complexity assessment method based on quantum state measurements and evolution. Traditional complexity assessment methods primarily rely on resource measurements, while this approach leverages the unique properties of quantum states to provide a more accurate and direct evaluation of algorithm complexity. We propose a quantum complexity database, utilizing quantum state analysis to identify and quantify computational bottlenecks. The core mechanism involves manipulating quantum states to represent and analyze algorithm execution, ultimately leading to a more refined understanding of complexity. The paper details the methodology, presents preliminary results, and discusses the potential implications for algorithm analysis and complexity research.

DOI: 10.5281/zenodo.22274056

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