Based on Matrix-Based Non-Linear Geometric Transformations – A Quantum Acceleration Approach

Jincheng Zhang

Published Sep 7, 2026• 0 citations

Abstract

This paper introduces a novel quantum acceleration algorithm based on matrix-based non-linear geometric transformations. The core concept is to leverage the unique properties of quantum algorithms, specifically superposition and entanglement, to efficiently manipulate geometric data. We propose a method for accelerating geometric transformations, utilizing quantum computational advantages, and addressing limitations of existing approaches. The algorithm's effectiveness is demonstrated through theoretical analysis and initial simulation results. This work presents a fundamentally new approach to quantum computing with potential applications in various fields, including data analysis, image processing, and computational geometry.

DOI: 10.5281/zenodo.22628701

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