Quantum-Enhanced Lattice Regularity Analysis

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

This paper investigates the potential of quantum algorithms to revolutionize the analysis of lattice structures, specifically focusing on the efficient and nuanced detection of subtle regularity patterns. Traditional methods often struggle with the complexity of these structures, limiting our ability to fully understand their underlying geometry. We propose a novel quantum approach utilizing superposition and entanglement to explore the space of lattice configurations, aiming to uncover hidden relationships and reveal patterns intrinsically linked to regularity. This research explores the feasibility of leveraging quantum mechanics to enhance our understanding of these structures, ultimately providing a new tool for geometric analysis.

DOI: 10.5281/zenodo.22186738

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