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Dimension Expansion and Quantum Entanglement: An Adaptive Geometric Model

Jincheng Zhang

Published Sep 3, 2026• 0 citations
Publisher

Abstract

This paper introduces a novel dimension-expanding model leveraging quantum entanglement to dynamically adjust geometric structures. We propose a framework, termed "Self-Adaptive Geometry," wherein quantum entanglement governs the evolution of space, allowing for automatic adjustments to improve computational efficiency and data storage. The core mechanism focuses on integrating the inherent dynamics of entanglement into geometric transformations, creating a system capable of self-optimization. This approach offers a fundamentally new pathway for quantum computation and information processing, differentiating it from existing theoretical frameworks centered primarily on algorithmic advancements. The proposed model's potential implications for quantum algorithms and data management are substantial, representing a significant step towards a more versatile and adaptive approach to quantum systems.

DOI
10.5281/zenodo.22263611

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This paper introduces a novel information-theoretic approach to geometry optimization, leveraging the principles of quantum entanglement to dynamically adjust geometric structures. We propose a model centered around quantifying information entropy as a guiding force for shaping data storage and processing efficiency. The core mechanism involves utilizing quantum entanglement to subtly influence the geometry, resulting in enhanced computational capabilities. The research explores the potential for this technique to improve data management and accelerate complex calculations. This work presents a framework for quantifying and manipulating geometric relationships through the inherent properties of quantum entanglement, ultimately aiming to achieve more efficient data processing and computation.
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Quantum entanglement, a fundamental phenomenon in quantum mechanics, offers a potential pathway to revolutionize geometric computation. This paper introduces a novel framework, Quantum Entanglement Dynamic Adaptive Geometry Transformation, leveraging the intricate interplay between entangled states and geometric transformations. The core principle lies in dynamically adjusting the strength of entangled states, allowing for optimization of geometric operations and enhanced computational efficiency. We explore the potential of this approach, detailing the mechanism and showcasing preliminary results demonstrating significant improvements in geometric calculations compared to traditional methods. The study emphasizes the unique capabilities of quantum entanglement in achieving this optimization.
Quantum self-organization algorithms offer a novel approach to quantum computing, focusing on the adaptive optimization of quantum systems within local quantum entanglement fields. This paper explores the integration of quantum self-organization techniques with geometric optimization, aiming to enhance resource utilization and data compression efficiency. We propose a mechanism leveraging quantum entanglement to dynamically adjust quantum system geometry, reducing computational complexity. The core claim centers on the design of an algorithm that utilizes this adaptive geometry to achieve superior performance in quantum computation and data compression compared to traditional methods. This work presents a novel framework predicated on the inherent properties of quantum self-organization and geometric optimization, demonstrating the potential for significant advancements in quantum information processing.
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Quantum entanglement, a cornerstone of quantum mechanics, possesses remarkable properties that hold immense potential for revolutionizing information processing. This paper explores the concept of a novel quantum entanglement geometry mapping – a system capable of dynamically adjusting quantum state properties in response to environmental changes, offering a pathway towards optimized quantum information handling. We introduce a new parameter set, designated as "modulations," which govern the entanglement's evolution and dynamically adjusts the quantum state to achieve desired outcomes. This approach, distinct from existing quantum algorithms, focuses on the fundamental properties of entanglement, presenting a significant advancement in the field. The core claim is that this self-adaptive geometry mapping can be used to achieve enhanced quantum information processing through robust and responsive entanglement dynamics.