Abstract
We consider an open quantum system governed N-body Lindblad equation and study mean-field limits in this setting. We prove that the N-particle dynamics converges, in the sense of quantum relative entropy, to the tensorized solution of the limiting nonlinear equation. More precisely, we establish explicit bounds of order 1/N on the relative entropy between the N-particle density operator and the corresponding product state, thereby providing a quantitative propagation of chaos.