Numerical simulation of stochastic evolution equations associated to quantum Markov semigroups.

This talk addresses the computation of the mean value of quantum observables at a given time. We first deal with the probabilistic representation of the solution to the quantum Markov master equations by means of the stochastic Schroedinger equations. Then, we treat the weak numerical solution of the non-linear stochastic Schroedinger equations in situations where the dimension of the state space is finite. Finally, we develop error estimation for the convergence of the explicit Euler scheme applied to the linear stochastic finite. Finally, we develop error estimation for the convergence of the explicit Euler scheme applied to the linear stochastic Schroedinger equations.