From joint convexity of quantum relative entropy to a concavity theorem of Lieb

Details From joint convexity of quantum relative entropy to a concavity theorem of Lieb From joint convexity of quantum relative entropy to a concavity theorem of Lieb

2011-01-05

arxiv.org/abs/1101.1070v1

Computer Science

Information Theory

3 pages

Scientific paper

This note provides a succinct proof of a 1973 theorem of Lieb that
establishes the concavity of a certain trace function. The development relies
on a deep result from quantum information theory, the joint convexity of
quantum relative entropy, as well as a recent argument due to Carlen and Lieb.

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