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Quantum Entanglement: A Non-Classical Geometric Paradigm

Jincheng Zhang

Published Aug 31, 2026• 0 citations
Publisher

Abstract

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.

DOI
10.5281/zenodo.22196412

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