On Measures of Classicality/Quantumness in Quasiprobability Representations of Finite-Dimensional Quantum Systems

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. © 2020, Pleiades Publishing, Ltd.

Authors
Abbasli N.1, 2 , Abgaryan V. 1, 3, 4 , Bures M.1, 5 , Khvedelidze A.1, 6, 7 , Rogojin I.1 , Torosyan A.1
Journal
Physics of Particles and Nuclei
Number of issue
4
Language
English
Pages
443-447
Status
Published
Link
External link
DOI
10.1134/S1063779620040024
Volume
51
Year
2020
Organizations
  • 1 Laboratory of Information Technologies, JINR, Dubna, Russian Federation
  • 2 Institute of Physics, Azerbaijan National Academy of Sciences, Baku, Azerbaijan
  • 3 Alikhanyan National Science Laboratory (YerPHI), Yerevan, Armenia
  • 4 Peoples’ Friendship University of Russia (RUDN University), Moscow, 117198, Russian Federation
  • 5 Institute of Experimental and Applied Physics, CTU, Prague, Czech Republic
  • 6 A Razmadze Mathematical Institute, TSU, Tbilisi, Georgia
  • 7 Institute of Quantum Physics and Engineering Technologies, GTU, Tbilisi, Georgia
Date of creation
02.11.2020
Date of change
02.11.2020
Short link
https://repository.rudn.ru/en/records/article/record/64607/
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