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arXiv · 1302.1330

Stochastic evolution of finite level systems: classical vs. quantum

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

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D. Chruściński, V. I. Man'ko, G. Marmo, F. Ventriglia. 2013-02-06. Stochastic evolution of finite level systems: classical vs. quantum. https://doi.org/10.1088/0031-8949%2F87%2F04%2F045015

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