On Measures of Classicality/Quantumness in Quasiprobability Representations of Finite-Dimensional Quantum Systems
N. Abbasli, V. Abgaryan, M. Bures, A. Khvedelidze, I. Rogojin, A. Torosyan · Physics of Particles and Nuclei · 2020
Abstract In the present report we discuss measures of classicality/quantumness of states of finite-dimensional quantum systems, which are based on a deviation of quasiprobability distributions from true statistical distributions. Particularly, the dependence of the global indicator of classicality on the assigned geometry of a quantum state space is analysed for a whole family of Wigner quasiprobability representations. General considerations are exemplified by constructing the global indicator of classicality/quantumness for the Hilbert–Schmidt, Bures and Bogoliubov–Kubo–Mori ensembles of qubits and qutrits.