AI 中文总结
研究量子网络寻址问题，提出无损源编码方案，引入前缀 - 后缀地址空间，开发等距分层编解码器并结合基于哈夫曼的程序，经13节点网络数值示例验证可行且保真，建立源编码理论与量子网络设计联系，提供实用框架。
AI 中文摘要
随着量子系统向互联架构发展，识别节点、管理资源和支持网络级功能的能力变得愈发关键。本文提出一种用于量子网络寻址的无损源编码方案，能实现紧凑、分层且可相干处理的量子地址状态。具体引入前缀 - 后缀地址空间，开发等距分层编解码器保证唯一可解码性，还提供基于哈夫曼的实用程序将无前缀、长度本征态码字嵌入地址空间以保持等距。该方案专为具有分层结构、异构簇大小和可配置地址分配的网络设计以适应动态网络条件。13节点网络的数值示例表明该分层编码方案可行且保真度完美。此工作在源编码理论与量子网络设计间建立了严格联系，为可扩展且相干的量子寻址提供了实用框架。
英文摘要
As quantum systems advance toward interconnected architectures, the ability to identify nodes, manage resources, and support network-level functions becomes increasingly critical. In this work, we propose a lossless source coding scheme for addressing in quantum networks that enables compact, hierarchical, and coherently processable quantum address states. Specifically, we introduce a prefix-suffix address space and develop an isometric hierarchical encoder-decoder that guarantees unique decodability. We further provide a practical Huffman-based procedure that embeds prefix-free, length-eigenstate codewords into the address space, thereby preserving isometry. The scheme is particularly designed for networks with hierarchical structure, heterogeneous cluster sizes, and configurable address assignment to accommodate dynamic network conditions. A numerical example on a 13-node network demonstrates that the proposed hierarchical encoding scheme is feasible and achieves perfect fidelity. This work establishes a rigorous connection between source coding theory and quantum network design, offering a practical framework towards scalable and coherent quantum addressing.
Comments10 pages
