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Jincheng Zhang
Abstract
The development of efficient and robust quantum algorithms is crucial for advancing scientific discovery and technological progress. Traditional quantum algorithms often struggle with complex data distributions, necessitating complex parameter adjustments. This paper proposes a novel dynamic adaptive topology quantum algorithm designed to address this challenge. We introduce a system of dynamically adjusting quantum gates based on the input data distribution, aiming to optimize performance and accelerate quantum computations. This algorithm leverages the inherent properties of topological quantum circuits to achieve enhanced adaptability and computational efficiency. The core mechanism centers around a self-configuring topology that adjusts quantum operations in real-time. The research explores the potential of this approach to overcome limitations of existing quantum algorithms, particularly in scenarios involving variable data and complex problem structures. This work presents a conceptual framework and preliminary results demonstrating the effectiveness of this dynamic topology approach.