Geometric Transformation Quantum State Description

Jincheng Zhang

Published Sep 3, 2026• 0 citations

Abstract

This paper explores the integration of quantum states into geometric transformation descriptions, aiming to revolutionize computation through the representation of geometric transformations. Traditional methods often rely on classical descriptions, but this work proposes a novel framework where quantum states directly encode geometric information, offering the potential for significantly more efficient and expressive computation. We detail the core mechanism, outlining the development of a system that maps geometric transformations to quantum states, enabling computational operations based on these quantum states. The paper introduces a conceptual model and preliminary results demonstrating the feasibility of this approach, highlighting its potential impact on various fields including geometry, computer graphics, and optimization. The core claim is that this framework facilitates efficient computation through the direct manipulation of quantum states, providing a fundamental shift in how geometric transformations are represented and processed.

DOI: 10.5281/zenodo.22265745

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