Conditional mutual information and self-commutator
arXiv:1212.5023 · doi:10.1007/s10773-013-1505-7
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.
LaTex, 9 pages. Minor modifications are made. Any comments are welcome!