Non-Linear Topological Structures for Quantum Computing: Adaptive Topology Generation

Jincheng Zhang

Published Sep 4, 2026• 0 citations

Abstract

Quantum computing holds immense potential for revolutionary advancements across numerous fields, from drug discovery to materials science. However, the current limitations of quantum algorithms are largely constrained by the inherent fragility of quantum states and the difficulty in creating complex, dynamically adaptable circuits. This paper explores a novel approach to quantum computing based on non-linear topological structures, proposing a framework that utilizes dynamic topology generation to create quantum circuits with complex and self-adaptive structures. We introduce a new method for constructing quantum circuits, leveraging the principles of topology to induce intricate and responsive topological phases within the circuits. The core mechanism focuses on building circuits that inherently evolve in response to external stimuli or internal quantum states, enabling the generation of intricate and complex quantum states. This innovation addresses a key challenge in quantum computing – the lack of inherent adaptability – and offers a promising path toward the development of more robust and versatile quantum algorithms.

DOI: 10.5281/zenodo.22289798

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