基于拓扑的量子计算参数调整算法
Jincheng Zhang
Abstract
Quantum computing offers the potential for exponentially faster computation compared to classical computing, driven by the ability to utilize quantum phenomena like superposition and entanglement. However, realizing this potential requires significant computational resources and precise control over quantum states. Parameter adjustment, the process of modifying the parameters of a quantum system to achieve a desired outcome, remains a critical challenge in quantum algorithm design. This paper introduces a novel algorithm, termed "Quantum Topology Optimization" (QTO), that leverages the inherent structure of quantum systems – specifically, topological structures – to dynamically adjust quantum parameters, ultimately leading to optimized computational results. We present a comprehensive theoretical framework and a preliminary implementation demonstrating the effectiveness of QTO in a simplified quantum circuit setting. The core mechanism hinges on automatically mapping and optimizing parameters based on the topological properties of the system, offering a significant departure from traditional parameter adjustment methods. This paper explores the potential of QTO to overcome the limitations of conventional approaches, paving the way for more efficient and robust quantum computation.