基于量子纠缠的非线性几何张量分析

Jincheng Zhang

Published Sep 3, 2026• 0 citations

Abstract

This paper introduces a novel geometric tensor analysis method based on quantum entanglement, offering a powerful tool for precisely describing the properties of complex geometric shapes, particularly in high-dimensional spaces and non-Euclidean geometries. We propose a new "entanglement tensor" measurement technique and a framework for quantum tensor analysis, diverging from traditional methods. The core claim is that this approach leverages the unique properties of entanglement to offer a deeper geometric understanding, offering significant advantages in modeling intricate geometric configurations. The study explores the potential of this method to address challenges in geometric analysis, particularly concerning the representation and analysis of non-Euclidean spaces. This research investigates the relationship between entangled tensor states and geometric properties, aiming to provide a robust and mathematically rigorous framework for geometric analysis.

DOI: 10.5281/zenodo.22265214

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