On measures of classicality/quantumness in quasiprobability representations of finite-dimensional quantum systems
Quantum Physics
2020-10-28 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.2001.03737,
title = {On measures of classicality/quantumness in quasiprobability representations of finite-dimensional quantum systems},
author = {N. Abbasli and V. Abgaryan and M. Bures and A. Khvedelidze and I. Rogojin and A. Torosyan},
journal= {arXiv preprint arXiv:2001.03737},
year = {2020}
}