1302.1330 (D. Chruściński et al.)

Stochastic evolution of finite level systems: classical vs. quantum    [PDF]

D. Chruściński, V. I. Man'ko, G. Marmo, F. Ventriglia

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.

View original: http://arxiv.org/abs/1302.1330