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Non-Euclidean Geometry of Quantum Entanglement Modeling

Jincheng Zhang

Published Aug 31, 2026• 0 citations
Publisher

Abstract

This paper introduces a novel approach to geometric modeling leveraging the unique properties of non-Euclidean geometry. We propose a framework based on quantum entanglement to enable rapid computation of complex geometric transformations and explore potential applications of quantum entanglement within geometric processes. The core mechanism centers around constructing a dynamic geometric model through the manipulation of entangled quantum states, offering a potential paradigm shift in how geometric concepts are represented and analyzed. The research aims to provide a robust and adaptable methodology for tackling intricate geometric problems, particularly those involving rapid transformations.

DOI
10.5281/zenodo.22199357

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This paper explores the application of non-Euclidean geometry to quantum entanglement, proposing a novel model that leverages the unique properties of quantum entanglement to create novel computational paradigms. The core mechanism centers on the design of a non-Euclidean geometric framework rooted in quantum entanglement, investigating its potential within quantum information processing and quantum algorithm development. We aim to demonstrate how this model can provide a new perspective on geometric principles and potentially unlock advanced computational capabilities. This work investigates the implications of exploring the interplay between geometric intuition and quantum entanglement.
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This research proposes a novel exploration of non-Euclidean geometry and its potential application to quantum computing. We investigate a specific topological transformation based on non-Euclidean principles to enhance quantum entanglement and key distribution capabilities. The core mechanism centers on simulating quantum entanglement through a fundamentally different geometric framework, offering potential advantages over traditional quantum computing approaches. This work aims to contribute to the advancement of quantum information processing by leveraging the unique properties of non-Euclidean geometry.
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