**Workshops and Seminars, Year 2011**

**19 - 05 - 2011 **ore 15:30 - Aula seminari III piano - Dipartimento di Matematica, Politecnico di Milano

Alessandro Toigo (Politecnico di Milano): *Normal completely positive maps on the space of quantum operations*

We define a class of higher-order linear maps that transform quantum operations into quantum operations and satisfy suitable requirements of normality and complete positivity. For this class of maps we prove two dilation theorems that are the analogues of the Stinespring and Radon-Nikodym theorems for quantum operations. A structure theorem for probability measures with values in this class of higher-order maps is also derived.

**04 - 02 - 2011 **ore 10:00 - Sala Maestrale Tender, piano -1, Dipartimento di Matematica, Politecnico di Milano

Dario Tamascelli (Universita degli Studi di Milano): *Wave Function Monte Carlo Simulation of open quantum systems: a case study.*

The master equation describing the dynamics of an open quantum system is rarely exactly solvable, even when it is in Lindblad form. The simulation of the dynamics of an open quantum system requires therefore a numerical approximation of the solution. Wave Function Monte Carlo (WFMC) is a simulation method based on the stochastic unravelling of the master equation. In this introductory talk we describe how to simulate the evolution of a simple open quantum system together with some tricks that speed up the computation.