Certain Properties of a Quantum Information Network Driven by External Fields

A quantum information network with the structure of the Gaussian channel is proposed. The network topological property and information characteristic is studied. Under the catastrophic and exponential external field driving, the degree distribution has the spatial and temporal characteristics, and the positive or negative power index appears, which can influence the assortativity coefficient. This is possibly helpful to open a way to using the different type of driving to introduce the expected properties for the network.