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基于动态自适应的量子态的几何计算

Jincheng Zhang

Published Sep 1, 2026• 0 citations
Publisher

Abstract

This paper introduces a novel approach to quantum state computation, termed "Dynamic Adaptive Geometry" (DAG), which leverages a dynamically adjusted set of parameters to simulate complex quantum systems. The core of this method is a sophisticated self-tuning mechanism that adapts to the system's inherent dynamics, significantly enhancing the accuracy of predictions compared to static approaches. We demonstrate the effectiveness of DAG through rigorous analysis of various quantum systems, showcasing its ability to handle intricate quantum phenomena with improved fidelity. The research addresses limitations of existing quantum computation methods by introducing a fundamental shift in parameterization and control, paving the way for more precise and efficient simulations.

DOI
10.5281/zenodo.22221126

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This paper introduces a novel approach to quantum state modeling based on adaptive geometry. Traditional quantum state modeling often relies on static mappings, limiting their applicability to complex geometric structures. We propose a self-adaptive geometric modeling method that learns the dynamic evolution of the quantum state's geometry, enabling efficient modeling and simulation of complex topological structures. This approach leverages the inherent geometric properties of quantum states to dynamically adjust the representation, drastically improving computational efficiency. The core mechanism involves a learning algorithm that maps the quantum state's evolution to a geometric representation, allowing for iterative refinement and improved model accuracy. We demonstrate the effectiveness of this method through simulations of topological quantum circuits, showcasing enhanced computational speed and the ability to handle intricate geometric configurations.
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