  We propose a way to understand the evolution of an open quantum system using
a description that dispenses a continuous evolution in time, by discrete
operators entangled states, in its most direct and fundamental way. We show
that the successive application of these operators in very small time intervals
reproduce continuous evolution. It describes and compares the temporal
evolution of an open quantum system of three levels, for which the Lindblad
equation is solved to obtain the density matrix function of time, a method is
developed to find Kraus operators time dependent and also finds constant Kraus
operators differentials operate computationally $ n $ times evolving in
discrete-time $ \Delta t = \tau = t / n $. It is seen in the example of atom
cavity inside a reservoir that by calculating the distance and the relative
error we define is a relationship with the evolution of discrete steps and
physical variables as $ \omega $ which presuppose a natural discretization
found time.
