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Dynamic Matrix Geometry Transformation Quantum Algorithm

Jincheng Zhang

Published Sep 7, 2026• 0 citations
Publisher

Abstract

This paper investigates a novel quantum algorithm for geometric transformations, leveraging dynamic matrices and quantum superposition to achieve high precision optimization. Traditional geometric algorithms often struggle with complex transformations and require significant computational resources. This work proposes a quantum approach that exploits quantum properties to drastically improve the efficiency and accuracy of these transformations. We introduce a quantum algorithm based on dynamically adjusting matrix representations, utilizing quantum superposition and entanglement to perform transformations with enhanced fidelity. The core mechanism centers around a tailored quantum circuit that transforms geometric data through a series of quantum operations, ultimately yielding optimized results. This research explores the potential of quantum computing to revolutionize geometric analysis and provides a foundation for future advancements in computational geometry.

DOI
10.5281/zenodo.22628270

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