Dynamic Quantum Algorithms: A Topology-Driven Expansion
Jincheng Zhang
Abstract
Quantum algorithms, renowned for their potential to solve complex problems beyond the capabilities of classical computation, often face limitations in terms of efficiency and generalization. This paper investigates a novel approach to quantum algorithm design – a dynamic quantum algorithm that leverages topology expansion to enhance performance. We propose a mechanism for continuously adjusting the quantum circuit's topology, driven by a feedback loop, to optimize the algorithm's execution and explore new, potentially more efficient solutions. The core claim highlights the potential of this dynamic expansion to surpass the limitations of static approaches. This work presents a theoretical framework and initial experimental validation demonstrating the effectiveness of this topology-driven expansion strategy.