The optimal coordination rates are determined in three primary settings of multi-user quantum networks, thus characterizing the minimal resources required in order to simulate a joint quantum state among multiple parties. We study the following models: (1) a cascade network with rate-limited entanglement, (2) a broadcast network, which consists of a single sender and two receivers, (3) a multiple-access network with two senders and a single receiver. We establish the necessary and sufficient conditions on the asymptotically-achievable communication and entanglement rates in each setting. At last, we show the implications of our results on nonlocal games with quantum strategies.

翻译：我们在多用户量子网络的三种主要设置中确定了最优协调速率，从而刻画了在多方向联合量子态模拟中所需的最小资源。我们研究了以下模型：(1) 具有速率受限纠缠的级联网络；(2) 由单个发送者和两个接收者组成的广播网络；(3) 具有两个发送者和单个接收者的多址接入网络。我们在每种设置中建立了渐近可达通信速率和纠缠速率的充要条件。最后，我们展示了研究结果对采用量子策略的非局域博弈的意义。