Non-Linear Topological Structures and the Association with Quantum Entanglement

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

This paper explores the synergistic relationship between non-linear topological structures and quantum entanglement, proposing a novel quantum computing framework predicated on these principles. The core claim posits that leveraging quantum entanglement and topological properties can significantly enhance the stability and precision of quantum computations, particularly in simulating complex systems like molecular structures. We introduce a new computational framework, the "Quantum Topological Calculation" (QTC), which utilizes a modified topological structure and quantum entanglement to achieve unprecedented accuracy and efficiency in these simulations. The paper details the fundamental mechanisms behind this approach, emphasizing the role of topological features in stabilizing entanglement and demonstrating its potential to revolutionize the design and execution of quantum algorithms. We also address the limitations of current approaches and outline future research directions, including exploring the application of this framework to advanced computational problems.

DOI: 10.5281/zenodo.22187506

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