A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is application/pdf.
From joint convexity of quantum relative entropy to a concavity theorem of Lieb
2012
Proceedings of the American Mathematical Society
Preserved Fulltext
Other Versions
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.
doi:10.1090/s0002-9939-2011-11141-9
fatcat:l2lvne7yavcnfncta7gvc4nsve