Dynamic Quantum Adaptive Geometry Transformations

Jincheng Zhang

Published Sep 3, 2026• 0 citations

Abstract

This paper presents a novel dynamic quantum adaptive geometry transformation method. The core principle leverages the inherent quantum state adaptability of the system, enabling precise control over geometric transformations without requiring explicit transformation matrices. This approach offers a significant advancement in the field of geometric manipulation, potentially leading to more efficient and robust transformations. We introduce a method that utilizes a carefully constructed quantum transformation matrix, which dynamically adjusts to the input quantum state, effectively achieving the desired geometric transformation with minimal computational overhead. The paper details the theoretical foundation, implementation of the quantum transformation matrix, and preliminary experimental validation of the proposed method. The work addresses the limitations of traditional geometric transformation techniques by employing a fundamentally new approach rooted in quantum mechanics.

DOI: 10.5281/zenodo.22266689

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