Nonlinear Geometric Group Quantum State Analysis

Jincheng Zhang

Published Sep 6, 2026• 0 citations

Abstract

This paper introduces a novel computational model for analyzing the quantum states of non-linear geometric groups, leveraging the principles of quantum entanglement and quantum computation. The core claim is to develop a framework that predicts and analyzes quantum states of these groups, offering insights into their quantum phase transitions and potential for quantum information storage. Traditional quantum state estimation methods are inadequate for this complex system, necessitating a more holistic approach that integrates geometric properties with quantum mechanics. We propose a model that utilizes entangled states to represent the group's quantum properties and employs quantum computation to generate and analyze the resulting quantum states. This work advances the field by providing a fundamentally new perspective on the quantum dynamics of geometric groups, opening avenues for deeper understanding of quantum information processing and potentially enabling the development of novel quantum algorithms.

DOI: 10.5281/zenodo.22510169

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