A Condition for the Nullity of Quantum Discord
Quantum Physics
2011-06-21 v2
Abstract
The positivity of quantum discord is shown to be equivalent to the strong subadditivity of von-Neumann entropy. This leads us to a necessary and sufficient condition characterizing the set of states with zero quantum discord. This also gives us a mathematical definition of pointer states, as they are the states with zero discord. Finally, we suggest that strong subadditivity of entropy might delineate the boundaries of the set of quantum correlations.
Keywords
Cite
@article{arxiv.1003.5256,
title = {A Condition for the Nullity of Quantum Discord},
author = {Animesh Datta},
journal= {arXiv preprint arXiv:1003.5256},
year = {2011}
}
Comments
Flawed statements in Theorem 2 corrected. 3 pages