量子协调与非局部博弈：理论与应用
Quantum Coordination and Nonlocal Games: Theory and Applications
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中文总结 AI 辅助
本文综述经典与量子网络协调的进展，提出含经典/量子通信与预共享关联的统一框架，探讨其在非局部博弈、DI-QKD及量子中继器中的应用，揭示协调理论与相关量子通信应用的关联。
中文摘要 AI 辅助
协调是通信与信息论中的基础原语，指分布式系统必须共同生成关联行为，而非仅交换消息。在量子网络中，纠缠、量子测量与非经典关联的本质，引入了经典场景无法实现的协调可能性。本文综述经典与量子通信网络中协调的最新进展，聚焦多用户场景下的经验协调与强协调。我们探讨协调对非局部博弈的意义，展示其如何提供自然框架，理解使空间分离的参与者提升获胜概率的关联。我们提出利用经典或量子通信与预共享关联资源的统一协调框架。该综述涵盖各类网络架构中纠缠与可分关联的模拟，包括双节点、级联、广播与多址网络。我们研究经验协调与强协调的操作差异，以及通信与关联资源（如预共享随机性和纠缠）间的权衡。协调在设备无关量子密钥分发（DI-QKD）方案中起重要作用，其中各方即使过程中使用的设备由敌手制备，仍可生成密钥。此外，我们探讨协调在量子中继器中的作用，其中分布式纠缠作为长距离量子通信的资源。该综述强调协调理论与分布式量子系统、量子互联网架构及未来通信网络等应用间的联系。
英文摘要
Coordination is a fundamental primitive in communication and information theory, in which distributed systems must collectively generate correlated behavior rather than merely exchange messages. In quantum networks, the nature of entanglement, quantum measurements, and nonclassical correlations introduces coordination possibilities unavailable classically. This article reviews recent advances in coordination over classical and quantum communication networks, focusing on empirical and strong coordination in multi-user settings. We consider the implications of coordination for nonlocal games, showing how it provides a natural framework for understanding the correlations that enable spatially separated players to improve their probability of winning. We present a unified framework for coordination using classical or quantum communication and pre-shared correlation resources. The review covers simulation of both entanglement and separable correlations across a variety of network architectures, including two-node, cascade, broadcast, and multiple-access networks. We study the operational differences between empirical and strong coordination, and the tradeoffs between communication and correlation resources, such as pre-shared randomness and entanglement. Coordination plays a major role in device-independent quantum key distribution (DI-QKD) schemes, in which parties can generate a secret key even if the devices used in the process have been prepared by an adversary. Furthermore, we examine the role of coordination in quantum repeaters, where distributed entanglement serves as a resource for long-distance quantum communication. The review highlights connections between coordination theory and applications such as distributed quantum systems, quantum internet architectures, and future communication networks.
