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

Author: Joel A. Tropp
Journal: Proc. Amer. Math. Soc. 140 (2012), 1757-1760
MSC (2010): Primary 52A41
Posted: August 4, 2011
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Abstract: This paper 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.

References

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