Geodesic
Comparing classicality of qutrits from Hilbert--Schmidt, Bures and Bogoliubov--Kubo--Mori ensembles
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XXXIV, Tome 517 (2022), pp. 250-267

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In the report we analyze the indicator/measure of classicality of quantum states defined as the probability to find a state with a positive Wigner function within a unitary invariant random ensemble. The indicators of classicality of three ensembles associated with the Hilbert–Schmidt, Bures and Bogoliubov–Kubo–Mori metrics on the space of quantum states of 3-level system are computed. Their dependence on a moduli parameter of the Wigner function is studied for all strata of a qutrit state space stratified in accordance with the unitary group action. 
@article{ZNSL_2022_517_a13,
     author = {A. Khvedelidze and A. Torosyan},
     title = {Comparing classicality of qutrits from {Hilbert--Schmidt,} {Bures} and {Bogoliubov--Kubo--Mori} ensembles},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {250--267},
     publisher = {mathdoc},
     volume = {517},
     year = {2022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2022_517_a13/}
}
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A. Khvedelidze; A. Torosyan. Comparing classicality of qutrits from Hilbert--Schmidt, Bures and Bogoliubov--Kubo--Mori ensembles. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XXXIV, Tome 517 (2022), pp. 250-267. http://geodesic.mathdoc.fr/item/ZNSL_2022_517_a13/