Geometric Quantum Entanglement Modeling and Application

Jincheng Zhang

Published Sep 2, 2026• 0 citations

Abstract

Quantum entanglement remains a cornerstone of quantum information science, offering potential for revolutionary advancements in computation and secure communication. However, its non-local nature poses significant challenges for practical applications. This paper explores the novel concept of geometric entanglement modeling, proposing a framework where entangled states are represented as geometric structures, offering a more intuitive and potentially more powerful approach to understanding and manipulating this fundamental quantum phenomenon. We investigate the implications of this model for quantum computation, specifically by leveraging geometric transformations and topology to emulate the complex dynamics of entangled states. This work introduces a new perspective on entanglement, highlighting its inherent geometric properties and suggesting novel avenues for algorithmic design and error mitigation. Furthermore, we discuss potential applications within quantum cryptography, driven by the inherent security properties associated with geometric representations.

DOI: 10.5281/zenodo.22248310

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