Lecture Content：

Quantum Gaussian networks consist of independent nodes in space and Gaussian quantum operations connecting these nodes, where entangled Gaussian states are shared among the nodes. When quantum operations or measurements are performed at the nodes, the quantum entanglement shared at the nodes propagates throughout the network, forming multipartite entanglement. Characterizing the properties of such multipartite entanglement is an interesting problem in quantum networks, as it not only influences the technological development of quantum networks but also enhances our understanding of multipartite entanglement in network scenarios. We present the functional characteristics of preparable entangled Gaussian states using informatic functions such as Renyi entropy-induced multipartite mutual information and generalizations of squashed entanglement measures. These characteristics reveal that the network structure imposes strong constraints on preparable entangled states, which is distinctly different from standard single multipartite entanglement.

Speaker Introduction:

Shuanping Du is a Professor at the School of Mathematical Sciences, Xiamen University. His main research focuses on maps on operator spaces and their applications in quantum information. He has published over 40 papers in core SCI journals including Physical Review A and Annals of Physics. He has presided over and completed multiple National Natural Science Foundation projects and provincial/ministerial projects. Currently, he is presiding over one General Project of the National Natural Science Foundation of China. He has been awarded one Provincial Natural Science Second Prize and one Provincial Natural Science Third Prize.