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From joint convexity of quantum relative entropy to a concavity theorem of Lieb (1101.1070v1)
Published 5 Jan 2011 in cs.IT and math.IT
Abstract: 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.