基于非线性几何结构的量子态计算

Jincheng Zhang

Published Sep 3, 2026• 0 citations

Abstract

This paper explores the application of non-linear geometry to quantum state computation, aiming to design novel algorithms with enhanced capabilities. Traditional quantum algorithms often rely on fixed parameters, limiting their flexibility and potential for groundbreaking discoveries. We propose a fundamentally new approach – constructing quantum state calculation algorithms directly based on the geometric properties of quantum states – to unlock new algorithmic possibilities. This involves developing a new algorithm framework that leverages non-linear geometry to represent and manipulate quantum states, offering a pathway to quantum algorithms with improved expressiveness, adaptability, and efficiency. The core claim of this work is that this approach enables the design of quantum algorithms with unprecedented capabilities, potentially revolutionizing the field.

DOI: 10.5281/zenodo.22268925

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