基于拓扑的量子算法的动态拓扑调整
Jincheng Zhang
Abstract
Quantum algorithms are increasingly crucial for various scientific and technological applications, including quantum simulation, quantum cryptography, and quantum machine learning. However, the design and implementation of quantum algorithms often involve complex parameter tuning and optimization. This paper introduces a novel quantum algorithm, Dynamic Topology Adjustment (DTA), based on topological geometry to dynamically adjust the quantum circuit's topology, thereby optimizing algorithm performance and stability. We demonstrate the effectiveness of DTA through a series of simulations, revealing a significant improvement in the predicted quantum information storage efficiency compared to traditional methods. The core mechanism leverages the inherent robustness of topological structures to guide the algorithm's evolution, leading to a more adaptable and efficient quantum computation. This research offers a promising pathway toward more reliable and scalable quantum algorithms.