Title: Topological Quantum Entanglement for Computational Complexity Analysis

Jincheng Zhang

Published Sep 1, 2026• 0 citations

Abstract

This paper explores the application of topological quantum entanglement as a novel tool for computational complexity analysis. We propose a framework that leverages dynamically adjusted topological structures to precisely characterize the limitations of quantum algorithms on specific, highly constrained systems. The core mechanism involves creating a self-correcting topological structure that adapts to the input parameters, allowing for a fundamentally new approach to understanding the inherent complexities of quantum computation. The research aims to move beyond approximations and provide a rigorously proven, potentially significantly more accurate, framework for analyzing algorithm complexity. This work necessitates a thorough understanding of topological quantum entanglement and its implications for computational complexity.

DOI: 10.5281/zenodo.22219217

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