Title: Topological Quantum Computing: Adaptive Topology for Dynamic Computation

Jincheng Zhang

Published Aug 29, 2026• 0 citations

Abstract

The development of robust and versatile quantum algorithms is a critical challenge in the field of quantum computation. Traditional quantum algorithms often rely on fixed, pre-defined quantum states, limiting their applicability to specific problem domains. This paper explores the concept of adaptive topology as a novel approach to quantum computing, proposing a method for dynamically adjusting quantum qubit configurations based on input data. We introduce a quantum circuit architecture that facilitates this dynamic evolution, enabling the algorithm to self-correct and achieve high-precision computations. The core mechanism centers around controlling the interactions between qubits to generate a "dynamic topology," ultimately enhancing the algorithm's resilience and adaptability. This work addresses the limitations of traditional quantum algorithms by introducing a mechanism for adaptive geometry, offering the potential for significant advancements in computational power and problem-solving capabilities. The research also delves into theoretical considerations and potential implementations, highlighting the significance of this approach for future quantum computing architectures.

DOI: 10.5281/zenodo.22154375

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