论文标题
没有图形状态可以在具有两分源的量子网络中准备，也没有经典的通信
No graph state is preparable in quantum networks with bipartite sources and no classical communication
论文作者
论文摘要
在有关量子网络的研究中，通常假定当事方可以相互传统。但是，古典沟通可能会给网络带来很大的延迟，尤其是如果它很大。由于网络的延迟是其最重要的特征之一，因此考虑量子网络无法进行经典交流并询问此假设对在此类网络中准备多方状态的可能性的限制是有趣的。我们表明，以量子信息中的众多应用而闻名的任意素数局部维度的图状态不能在量子网络中生成，在量子网络中，当事方是通过双方量子量子的来源连接的，并且经典通信被一些预共享的经典相关所取代。然后，我们将结果推广到足够接近图状态的任意量子状态。
In research concerning quantum networks, it is often assumed that the parties can classically communicate with each other. However, classical communication might introduce a substantial delay to the network, especially if it is large. As the latency of a network is one of its most important characteristics, it is interesting to consider quantum networks in which parties cannot communicate classically and ask what limitations this assumption imposes on the possibility of preparing multipartite states in such networks. We show that graph states of an arbitrary prime local dimension known for their numerous applications in quantum information cannot be generated in a quantum network in which parties are connected via sources of bipartite quantum states and the classical communication is replaced by some pre-shared classical correlations. We then generalise our result to arbitrary quantum states that are sufficiently close to graph states.
