The optimal coordination rates are determined in three primary settings of multi-partite 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 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：本文确定了多部分量子网络三种主要设置下的最优协调速率，从而刻画了多方模拟联合量子态所需的最小资源。我们研究了以下模型：（1）具有有限纠缠的级联网络；（2）包含单个发送端与两个接收端的广播网络；（3）包含两个发送端与单个接收端的多接入网络。针对每种设置，我们建立了渐近可达通信速率与纠缠速率的充要条件。最后，我们展示了研究结果对含量子策略的非局域博弈的影响。