Comments on the Kolmogorov-Sinai-Sąsiada entropy and the quantum information theory

Commenting the recent generalization by S$\text{a}\text{?}$siada of the Kolmogorov-Sinai entropy to the quantum case (KSSentropy), it is remarked that this entropy refers to the process of evolution as a whole and to the initial state (t = 0), not to the state at any time (t ? 0). Therefore, the KSS entropy has no direct relation to the von Neumann entropy or A-entropy at time t. Secondly, the proof of the no-increase theorem of S$\text{a}\text{?}$siada (referring to the initial time) is valid only for the Markov type of time evolution, while the KSS entropy can be generalized to time evolution with arbitrary time correlations. Some important consequences of the new concept for the formulation of the quantum information theory are also presented.