Title: Non-Euclidean Graph Theory for Quantum Entanglement

Jincheng Zhang

Published Aug 29, 2026• 0 citations

Abstract

Quantum entanglement, a cornerstone of quantum mechanics, presents a profound challenge for robust data storage and secure communication. Traditional entanglement models, while effective, often struggle with maintaining entanglement across multiple qubits, particularly in the presence of noise and decoherence. This paper explores the application of non-Euclidean graph theory principles to this challenge, proposing a novel framework for understanding and manipulating quantum entanglement. We formalize and extend graph theory concepts – specifically graph coloring and modularity – to the quantum state space, developing a new language for describing and controlling entanglement. Our analysis reveals the potential for this approach to offer a more robust and flexible framework, potentially leading to enhanced quantum algorithms and security protocols. This work addresses a fundamental gap in our understanding of entanglement and opens new avenues for research in quantum information theory.

DOI: 10.5281/zenodo.22157429

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