Two models of quantum stochastic jump type processes are analyzed with special emphasis on the time evolution of quantum correlations. It is shown that the generalized conditional expectation defining the time evolution of XXZ model contains the proper (i.e. genuine quantum) interactions between subsystem and its environment while this is not the case for the stochastic counterpart of the Ising model.

PACS numbers: 05.30.--d, 05.50.+q, 02.50.--r