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1. FROM JOINT CONVEXITY OF QUANTUM RELATIVE ENTROPY TO A CONCAVITY THEOREM OF LIEB.

Author

Tropp, Joel A.

Subjects
*CONVEX domains, *QUANTUM theory, *ENTROPY (Information theory), *CONCAVE functions, *PROOF theory, *QUANTUM information science
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. [ABSTRACT FROM AUTHOR]

Published
2012
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