Email this article Hidden Correlations and Entanglement in Single-Qudit States†
- Authors: Man’ko M.A.1, Man’ko V.I.1,2
-
Affiliations:
- Lebedev Physical Institute, Russian Academy of Sciences
- Moscow Institute of Physics and Technology
- Issue: Vol 39, No 1 (2018)
- Pages: 1-11
- Section: Article
- URL: https://journal-vniispk.ru/1071-2836/article/view/248305
- DOI: https://doi.org/10.1007/s10946-018-9683-7
- ID: 248305
Cite item
Open Access
Access granted
Subscription Access
Abstract
We discuss the notion of hidden correlations in classical and quantum indivisible systems along with such characteristics of the correlations as the mutual information and conditional information corresponding to the entropic subadditivity condition and the entropic strong subadditivity condition. We present an analog of the Bayes formula for systems without subsystems, study entropic inequality for von Neumann entropy and Tsallis entropy of the single-qudit state, and discuss the inequalities for qubit and qutrit states as an example.
About the authors
Margarita A. Man’ko
Lebedev Physical Institute, Russian Academy of Sciences
Author for correspondence.
Email: mmanko@sci.lebedev.ru
Russian Federation, Leninskii Prospect 53, Moscow, 119991
Vladimir I. Man’ko
Lebedev Physical Institute, Russian Academy of Sciences; Moscow Institute of Physics and Technology
Email: mmanko@sci.lebedev.ru
Russian Federation, Leninskii Prospect 53, Moscow, 119991; Institutskii per. 9, Dolgoprudny, Moscow Region, 141700
Supplementary files
