Entanglement Geometry Tensor: A Geometric Description of Quantum Entanglement

Jincheng Zhang

Published Aug 17, 2026• 0 citations

Abstract

This paper introduces the Entanglement Geometry Tensor (EGT), a novel framework proposing that quantum entanglement possesses an inherent geometric structure rather than solely being a quantitative property. We posit that entanglement can be described by a tensor, denoted as [G_E], which defines the geometry of the entanglement space. This approach moves beyond traditional measures like entropy ([S]) to offer a more fundamental understanding of entanglement, potentially paving the way for a richer theoretical landscape and novel applications. The core concept is that the spatial relationships between entangled particles dictate the nature of their correlation, suggesting a geometric interpretation of quantum connections. This work lays the groundwork for the development of a comprehensive Entanglement Geometry Theory, exploring the implications for various quantum phenomena and systems. ---

DOI: 10.5281/zenodo.21975164

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