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

نویسنده

  • Joel A. Tropp
چکیده

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.

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عنوان ژورنال:
  • CoRR

دوره abs/1101.1070  شماره 

صفحات  -

تاریخ انتشار 2011