A Minkowski Type Trace Inequality and Strong Subadditivity of Quantum Entropy

Details A Minkowski Type Trace Inequality and Strong Subadditivity of Quantum Entropy A Minkowski Type Trace Inequality and Strong Subadditivity of Quantum Entropy

2007-01-12

arxiv.org/abs/math/0701352v1

American Mathematical Society Translations, series 2, vol 189, pp. 59-69 (1999)

Mathematics

Operator Algebras

13 pages, plaintex, dedicated to M. Birman

Scientific paper

We consider the following trace function on n-tuples of positive operators: \Phi_p(A_1,A_2,...,A_n) = Trace (\sum_{j=1}^n A_j^p)^{1/p} and prove that it is jointly concave for 02, \Phi_p is neither convex nor concave. We conjecture that \Phi_p is convex for 1

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