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arxiv: 1212.5023 · v2 · pith:5INUJ56Dnew · submitted 2012-12-20 · 🪐 quant-ph · math-ph· math.FA· math.MP· math.OA

Conditional mutual information and self-commutator

classification 🪐 quant-ph math-phmath.FAmath.MPmath.OA
keywords conditionalinformationmutualapproachsmallapproximatechaincharacterization
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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.

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