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Zapiski Nauchnykh Seminarov POMI, 2022, Volume 517, Pages 250–267
(Mi znsl7290)
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Comparing classicality of qutrits from Hilbert–Schmidt, Bures and Bogoliubov–Kubo–Mori ensembles
A. Khvedelidzeabc, A. Torosyanb a A Razmadze Mathematical Institute Iv. Javakhishvili, Tbilisi State University, Tbilisi, Georgia
b Laboratory of Information Technologies, Joint Institute for Nuclear Research, 141980 Dubna, Russia
c Institute of Quantum Physics and Engineering Technologies,
Georgian Technical University,
Tbilisi, Georgia
Abstract:
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.
Key words and phrases:
Wigner function, quasiprobability distribution, state nonclassicality, classicality indicator.
Received: 12.09.2022
Citation:
A. Khvedelidze, A. Torosyan, “Comparing classicality of qutrits from Hilbert–Schmidt, Bures and Bogoliubov–Kubo–Mori ensembles”, Representation theory, dynamical systems, combinatorial methods. Part XXXIV, Zap. Nauchn. Sem. POMI, 517, POMI, St. Petersburg, 2022, 250–267
Linking options:
https://www.mathnet.ru/eng/znsl7290 https://www.mathnet.ru/eng/znsl/v517/p250
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Abstract page: | 57 | Full-text PDF : | 19 | References: | 16 |
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