Optimizing entropy relative to a channel or a subalgebra

Physics – Quantum Physics

Scientific paper

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7 pages, latex, no figures. To be published in: Proceedings of the XXI International Colloquium on Group Theoretical Methods i

Scientific paper

After recalling definition, monotonicity, concavity, and continuity of a
channel's entropy with respect to a state (finite dimensional cases only), I
introduce the roof property, a convex analytic tool, and show its use in
treating an example. Full proofs and more examples will appear elsewhere. The
relation (a la Benatti) to accessible information is mentioned.

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