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Quantum Entanglement Geometry Simulation

Jincheng Zhang

Published Sep 3, 2026• 0 citations
Publisher

Abstract

Quantum entanglement offers a fundamentally new perspective on geometric simulations, promising enhanced precision and the ability to model complex phenomena previously inaccessible to classical approaches. This paper explores a novel framework for geometric simulation leveraging quantum entanglement, focusing on the potential to accurately represent and predict geometric properties through the subtle influence of entangled states. We propose a method that dynamically adjusts geometric transformations based on entangled correlations, aiming to bridge the gap between classical geometry and quantum mechanics. This research addresses the limitations of traditional methods by incorporating a non-linear geometric process driven by quantum entanglement. The core claim is that this framework provides a pathway towards more accurate geometric predictions and allows for a deeper understanding of geometric transformations.

DOI
10.5281/zenodo.22279367

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Quantum entanglement offers a fundamentally new perspective on geometric simulations, promising enhanced precision and the ability to model complex phenomena previously inaccessible to classical approaches. This paper explores a novel framework for geometric simulation leveraging quantum entanglement, focusing on the potential to accurately represent and predict geometric properties through the subtle influence of entangled states. We propose a method that dynamically adjusts geometric transformations based on entangled correlations, aiming to bridge the gap between classical geometry and quantum mechanics. This research addresses the limitations of traditional methods by incorporating a non-linear geometric process driven by quantum entanglement. The core claim is that this framework provides a pathway towards more accurate geometric predictions and allows for a deeper understanding of geometric transformations.
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Quantum entanglement, a cornerstone of quantum mechanics, presents a unique challenge to conventional classical geometry. This paper explores the potential of utilizing entangled states as fundamental building blocks for computation, proposing a novel geometric paradigm based on entangled states. We introduce a non-classical geometric model that leverages the properties of entanglement to simulate complex geometric structures and topological relationships. This model emphasizes the application of geometric transformations driven by entangled states to achieve precise control over these structures. The core mechanism involves the design of an entanglement-based geometric transformation algorithm, offering a fundamentally different approach to computational geometry compared to traditional methods. We demonstrate the feasibility of this approach through illustrative examples and present a conceptual framework for future research. This work aims to push the boundaries of quantum computation by integrating the inherently non-classical nature of entanglement into the core of geometric processing.
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