On measures of classicality/quantumness in quasiprobability representations of finite-dimensional quantum systems

11 Jan 2020 · Abbasli N., Abgaryan V., Bures M., Khvedelidze A., Rogojin I., Torosyan A. ·

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.

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On measures of classicality/quantumness in quasiprobability representations of finite-dimensional quantum systems

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