基于动态的几何变换的量子计算

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

This paper explores the potential of dynamic geometric transformations to revolutionize quantum computation. Traditional quantum algorithms often rely on static transformation schemes, limiting their expressive power and computational efficiency. We propose a novel model that leverages dynamic geometric transformations to significantly reduce the complexity of quantum computations. This model aims to overcome the limitations of existing approaches by dynamically adapting the quantum state through a series of geometric operations, offering a pathway to more efficient and versatile quantum algorithms. The paper details the model's architecture, demonstrates its impact on specific quantum circuit implementations, and discusses the potential benefits and challenges associated with its implementation. The core claim of this work is that the implementation of dynamic geometric transformations can substantially lower the computational cost for certain quantum algorithms, offering a significant advancement over existing techniques.

DOI: 10.5281/zenodo.22195657

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