Optimizing entropy relative to a channel or a subalgebra

Abstract

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.

7 pages, latex, no figures. To be published in: Proceedings of the XXI International Colloquium on Group Theoretical Methods in Physics, Goslar 1996

References in corpus (2)

• Quantum State Disturbance vs. Information Gain: Uncertainty Relations for Quantum Information
• Distinguishability and Accessible Information in Quantum Theory

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