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自适应几何拓扑的量子计算建模

Jincheng Zhang

Published Sep 5, 2026• 0 citations
Publisher

Abstract

This paper explores the potential of utilizing adaptive geometry, specifically topological quantum information, for quantum computation modeling. Traditional approaches often struggle with the intricacies of complex topological structures. We propose a novel framework that leverages quantum computing's unique properties to enhance model accuracy and efficiency in this domain. This framework employs a self-adjusting geometric structure that dynamically adapts to the input, allowing for the representation of highly complex topological spaces. We present a conceptual model, detailing the core mechanism and outlining potential future research directions. The goal is to demonstrate a significant advancement in quantum computation modeling through the application of adaptive geometry.

DOI
10.5281/zenodo.22319302

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This paper presents a novel computational model based on adaptive geometry to explore the unique properties of quantum topology, aiming to enhance the efficiency of quantum computation. Traditional topological computation models rely on static representations, while our approach dynamically adjusts the topology, offering a more flexible and potentially powerful framework. We introduce a framework that simulates complex topological structures using adaptive geometry, allowing for a more intuitive and efficient investigation of quantum phenomena. The core mechanism involves the continuous refinement of the topology through iterative adjustments, enabling the exploration of diverse quantum states and phenomena. This research investigates the impact of adaptive geometry on computational efficiency and offers a foundation for future advancements in quantum information processing.
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This paper explores the intersection of self-adaptive geometric topology and quantum geometry, presenting a novel model designed to investigate the fundamental properties of quantum geometry. The core claim centers on the development of a dynamic, self-adjusting geometric topology framework that enables the study of quantum geometry's intricacies and facilitates applications within the realms of quantum computation and quantum information science. The model's inherent adaptability allows for a deeper understanding of quantum entanglement, superposition, and the potential for novel quantum phenomena. This research represents a significant advancement in modeling the complex interplay between geometry and quantum mechanics.
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