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arXiv · 2001.03737

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
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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.

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N. Abbasli, V. Abgaryan, M. Bures, A. Khvedelidze, I. Rogojin, A. Torosyan. 2020-01-11. On measures of classicality/quantumness in quasiprobability representations of finite-dimensional quantum systems. https://doi.org/10.1134/s1063779620040024

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