Hidden correlations and entanglement in single-qudit states
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.
Cite
@article{arxiv.1712.08090,
title = {Hidden correlations and entanglement in single-qudit states},
author = {Margarita A. Man'ko and Vladimir I. Man'ko},
journal= {arXiv preprint arXiv:1712.08090},
year = {2017}
}
Comments
12 pages, Invited talk presented at the QUANTUM 2017 Workshop ad memoriam of Carlo Novero "From Foundations of Quantum Mechanics to Quantum Information and Quantum Metrology and Sensing" (Turin, Italy, May 7--13, 2017); to be published in Journal Russian Laser Research, Vol. 39, p. 1 (2018)