Network coordination is considered in three basic settings, characterizing the generation of separable and classical-quantum correlations among multiple parties. First, we consider the simulation of a classical-quantum state between two nodes with rate-limited common randomness (CR) and communication. Furthermore, we study the preparation of a separable state between multiple nodes with rate-limited CR and no communication. At last, we consider a broadcast setting, where a sender and two receivers simulate a classical-quantum-quantum state using rate-limited CR and communication. We establish the optimal tradeoff between communication and CR rates in each setting.

翻译：网络协调在三种基本场景下被考虑，刻画了多方之间可分离态与经典-量子关联的生成。首先，我们考虑在有限速率共同随机性（CR）和通信条件下，两节点间经典-量子态的模拟。其次，我们研究在有限速率CR且无通信条件下，多节点间可分离态的制备。最后，我们考虑一个广播场景，其中发送方与两个接收方利用有限速率CR与通信模拟经典-量子-量子态。我们建立了每种场景下通信速率与CR速率之间的最优权衡。