English

Stochastic evolution of finite level systems: classical vs. quantum

Quantum Physics 2013-04-16 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1302.1330,
  title  = {Stochastic evolution of finite level systems: classical vs. quantum},
  author = {D. Chruściński and V. I. Man'ko and G. Marmo and F. Ventriglia},
  journal= {arXiv preprint arXiv:1302.1330},
  year   = {2013}
}

Comments

8 pages

R2 v1 2026-06-21T23:21:42.333Z