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.
- Publication:
-
Physics of Particles and Nuclei
- Pub Date:
- September 2020
- DOI:
- 10.1134/S1063779620040024
- arXiv:
- arXiv:2001.03737
- Bibcode:
- 2020PPN....51..443A
- Keywords:
-
- Quantum Physics;
- Mathematical Physics
- E-Print:
- doi:10.1134/S1063779620040024