On Measures of Classicality/Quantumness in Quasiprobability Representations of Finite-Dimensional Quantum Systems
- NázevTitle
- On Measures of Classicality/Quantumness in Quasiprobability Representations of Finite-Dimensional Quantum SystemsOn Measures of Classicality/Quantumness in Quasiprobability Representations of Finite-Dimensional Quantum Systems
- Druh výsledkuResult type
- Článek v časopiseJournal article
- AutořiAuthors
- N. Abbasli, V. Abgaryan, M. Bureš
- Klíčová slovaKeywords
- finite-dimensional quantum systems, quasiprobability representations, classicality/quantumness indicator, Hilbert-Schmidt metric, Bures metric, Bogoliubov-Kubo-Mori metric
- KonferenceConference
- International Bogolyubov Conference Problems of Theoretical and Mathematical Physics (Moscow, Russian Federation, 2019-09-09)
- DOIDOI
- 10.1134/S1063779620040024
- Časopis / citaceJournal / citation
- Physics of Particles and Nuclei 51(4), 443-447 (2020) · ISSN 1063-7796
- RokYear
- 2020
- JazykLanguage
- eng
- ZáznamyRecords
- ProjektProject
- Inženýrské aplikace fyziky mikrosvětaEngineering applications of microworld physics
- CitovánoCited by
- 6 (INSPIRE-HEP)
- Plný text (open access)Full text (open access)
- https://arxiv.org/pdf/2001.03737
- Citace ke staženíDownload citation
- TXT · BibTeX
AbstraktAbstract
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.
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.