Routing in wireless communication networks is shaped by mobility, interference, congestion, and competing service requirements, making route selection a high-dimensional constrained optimization problem rather than a simple shortest-path task. This paper investigates the use of hybrid classical--quantum methods for wireless routing, focusing on the Quantum Approximate Optimization Algorithm (QAOA) and quantum walks as candidate mechanisms for exploring complex routing spaces. The paper examines how wireless routing can be expressed as a constrained graph optimization problem in which routing objectives, flow constraints, connectivity requirements, and interference effects are mapped into quantum-compatible Hamiltonian representations. It then discusses how these approaches can be integrated into a hybrid architecture in which classical systems perform network monitoring, graph construction, pre-processing, and deployment, while quantum subroutines are used for selected optimization components. The analysis shows that the potential value of quantum routing lies primarily in the treatment of difficult combinatorial subproblems rather than end-to-end replacement of classical routing frameworks. The paper also highlights practical limitations arising from state preparation, constraint encoding, oracle construction, hardware noise, limited qubit resources, and hybrid execution overhead. It is argued that any meaningful near-term advantage will depend on careful problem decomposition, compact encoding, and tight classical--quantum integration.

翻译：无线通信网络中的路由选择受到移动性、干扰、拥塞及竞争性服务需求的共同影响，导致路径选择不再仅是简单的短路径问题，而演变为高维约束优化问题。本文研究将混合经典-量子方法应用于无线路由，重点探讨量子近似优化算法（QAOA）与量子游走作为探索复杂路由空间的候选机制。本文首先阐述如何将无线路由表述为受约束的图优化问题，将路由目标、流量约束、连通性需求及干扰效应映射为兼容量子的哈密顿量表示。随后讨论如何将这些方法集成到混合架构中：经典系统负责网络监控、图构建、预处理与部署，而量子子程序用于特定优化组件。分析表明，量子路由的潜在价值主要体现在处理困难的组合子问题，而非对经典路由框架的端到端替代。本文还揭示了状态制备、约束编码、预言机构造、硬件噪声、有限量子比特资源及混合执行开销等实际局限性。研究指出，任何有意义的近期优势都将依赖于精细的问题分解、紧凑的编码以及紧密的经典-量子集成。