We consider a quantum Langevin kinetic equation for system of fermions. first derive the force noise correlation functions in Landau's Fermi-liquid theory from general considerations. then use resulting to calculate equilibrium dynamic structure factor collisionless regime at low temperatures. The result is agreement with conventional many-body result. both fluctuating Navier-Stokes equations f...

Recent development in quantum computation and quantum information theory allows to extend the scope of game theory for the quantum world. The authors have recently proposed a quantum description of financial market in terms of quantum game theory. The paper contain an analysis of such markets that shows that there would be advantage in using quantum computers and quantum strategies.