Stochastic evolution of finite level systems: classical versus quantum
Dariusz Chruściński, Vladimir I. Man’ko, Giuseppe Marmo, F. Ventriglia · Physica Scripta · 2013
Quantum dynamics of the density operator in the framework of a single probability vector is analyzed. In this framework quantum states define a proper convex quantum subset in an appropriate simplex. It is showed that the corresponding dynamical map preserving a quantum subset needs not be stochastic contrary to the classical evolution which preserves the entire simplex. Therefore, violation of stochasticity witnesses quantumness of evolution.