Nonlinear Topological Group Calculations: A Dynamic Approach to Quantum State Computation

Jincheng Zhang

Published Sep 1, 2026• 0 citations

Abstract

This paper introduces a novel approach to quantum state computation utilizing the dynamic properties of non-linear topological groups. Traditional quantum state computation often relies on static representations, limiting the precision and complexity of calculations. We propose a framework where the state's dynamic evolution is intrinsically linked to the topological group's transformation, enabling a fundamentally different approach to quantum information processing. This research explores how the inherent symmetries and transformations within these groups can be exploited to achieve precise quantum state calculations. The core claim focuses on leveraging the group's dynamic change to provide a method for calculating quantum states with enhanced accuracy and revealing potential quantum information characteristics. This work represents a significant advancement in the field, offering a new paradigm for quantum state manipulation.

DOI: 10.5281/zenodo.22221045

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