Statistical properties of qutrit in probability representation of quantum mechanics

Qutrit quantum observables are simulated by the set of classical-like random variables. Statistical properties of the quantum observables are expressed in terms of the statistical moments of classical-like observables. The properties of new information characteristics based on Tsallis entropy of the standard probability distributions are investigated in the case of qubit systems. •Statistics of quantum observable in probability representation.•Tsallis entropy of classical-like probability distributions of quantum state.•The properties of entropic functions of classical-like probability distributions.