Topological Space Information Theory State Analysis

Jincheng Zhang

Published Sep 2, 2026• 0 citations

Abstract

This paper investigates the application of topological space information theory to the analysis of quantum states. Traditional approaches often rely on classical physics models, while topological space information theory offers a novel framework for efficiently characterizing quantum states by leveraging their inherent structure. This work proposes a method for quantifying information density within topological spaces, which will be used to construct tools for understanding the properties of quantum states. The core mechanism involves defining an information density function based on topological space features, and leveraging this to compress information. The new focus is on exploiting the inherent structure of topological spaces to achieve superior analysis compared to existing methods.

DOI: 10.5281/zenodo.22243089

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