Self-Adaptive Quantum Computing: A Topological Structure Study

Jincheng Zhang

Published Sep 2, 2026• 0 citations

Abstract

Quantum computing, leveraging the principles of quantum mechanics, promises revolutionary computational capabilities. However, the inherent complexity of quantum systems presents significant challenges in algorithm design and implementation. This paper investigates the potential of self-adaptive quantum circuits, a novel approach to quantum computing, based on the principles of topological quantum information theory. We explore the concept of a dynamically evolving quantum state that exhibits self-similarity, allowing for adaptation and optimization during computation. Our work focuses on developing a quantum algorithm that exploits this self-adaptive property to address complex problems with improved efficiency and precision. This research delves into the mathematical foundations underpinning this approach, demonstrating its potential to reshape the landscape of quantum computation. The core mechanism involves leveraging the self-relevant properties of topological quantum states, leading to a fundamentally different approach to quantum circuit design and execution.

DOI: 10.5281/zenodo.22244706

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