Program

Stéphane Attal : "Open Quantum Random Walks"
   We present a new type of quantum random walks. They take dissipation phenomenons into account. They contain all the classical Markov chains on graphs or on nets as particular cases.
They admit a quantum trajectory appraoch. In some case we are able to prove Central Limit Theorems for these quantum random walks.

Alberto Barchielli : "Non-Markovian evolutions, continuous observations and feedback control of quantum systems"
  
Raffaella Carbone: "Modified logarithmic-Sobolev inequalities and exponential entropy decay in non-commutative algebras"
Julien Deschamps : "Classical actions of quantum baths"

Franco Fagnola : "Entropy production for quantum markov semigroups"

Matteo Gregoratti : "The Hamiltonian generating quantum stochastic evolutions in the limit from repeated to continuous interactions"

We consider a quantum stochastic evolution in continuous time defined by the the quantum stochastic differential equation of Hudson and Parthasaraty. 
On one side, such an evolution can be defined also by a (very singular and unbounded) Hamiltonian operator K and a standard Schroedinger equation.
On the other side, such an evolution can be obtained also as a limit from Hamiltonian repeated interactions in discrete time.
Our aim is to study how the structure of the Hamiltonian K emerges in the limit from repeated to continuous interactions.
We present preliminary results in the simplest case (trivial multiplicity and system spaces), where the calculations can be explicitly performed, and the proper formulation of the problem can be discussed.

Veronica Umanita: "Ergodic Quantum Markov Semigroups and decoherence"