Quantum Entropy Venn diagrams

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Quantum Entropy Venn diagrams

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We know that in classical information theory the Shannon Entropies follow such Venn-Diagram approach to summarize its' relations and inequalities between-marginal,joint and conditional entropies.

Is there such a Venn diagram approach for Von-Neumann entropies? Is there any research being performed in this direction?

asked Nov 26, 2019 in Theoretical Physics by Chetan Waghela (10 points) [ no revision ]

Logical Entropy: Introduction to Classical and Quantum Logical Information Theory ( pdf ) by David Ellerman

Logical information theory explains this situation since all the Shannon definitions of simple, joint, conditional and mutual information can
be obtained by a uniform requantifying transformation from the corresponding logical definitions, and the transformation preserves the Venn diagram relationships.

commented Nov 27, 2019 by igael (360 points) [ no revision ]

Yes I had seen this paper. Will check it out properly. Any idea behind the crux of this article?

commented Nov 27, 2019 by Chetan Waghela (10 points) [ no revision ]

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