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

• URL: http://arxiv.org/abs/2001.03737v1
• Date: Sat, 11 Jan 2020 10:58:46 GMT
• Title: On measures of classicality/quantumness in quasiprobability representations of finite-dimensional quantum systems
• Authors: N. Abbasli, V. Abgaryan, M. Bures, A. Khvedelidze, I. Rogojin and A. Torosyan
• Abstract summary: Measures of classicality/quantumness of states of finite-dimensional quantum systems are discussed. 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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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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