Nonlinear Topological Geometry Quantum Entanglement Mapping

Jincheng Zhang

Published Sep 4, 2026• 0 citations

Abstract

This paper explores the interplay between nonlinear topological geometry and quantum entanglement, focusing on the development of a novel "mapping" mechanism to precisely calculate quantum states. The core claim is that by leveraging quantum entanglement, we can establish a computational framework that directly maps topological structures and quantum states, enabling the calculation of complex topological states. This approach offers a fundamentally new way to tackle problems in quantum information theory and topological data analysis. We present a framework for mapping topological information to quantum entanglement, highlighting the potential for improved accuracy and efficiency in the calculation of sensitive quantum states. The paper details the design of the mapping mechanism, its mathematical underpinnings, and preliminary results demonstrating its effectiveness in specific examples.

DOI: 10.5281/zenodo.22301659

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