Conditional mutual information and self-commutator
Quantum Physics
2013-05-08 v2 Mathematical Physics
Functional Analysis
math.MP
Operator Algebras
Abstract
A simpler approach to the characterization of vanishing conditional mutual information is presented. Some remarks are given as well. More specifically, relating the conditional mutual information to a commutator is a very promising approach towards the approximate version of SSA. That is, it is conjectured that small conditional mutual information implies small perturbation of quantum Markov chain.
Cite
@article{arxiv.1212.5023,
title = {Conditional mutual information and self-commutator},
author = {Lin Zhang},
journal= {arXiv preprint arXiv:1212.5023},
year = {2013}
}
Comments
LaTex, 9 pages. Minor modifications are made. Any comments are welcome!