Still more on norms of completely positive maps

Details Still more on norms of completely positive maps Still more on norms of completely positive maps

2006-03-13

arxiv.org/abs/quant-ph/0603110v2

Proceedings of IWOTA 2008, Operator Theory: Advances and Applications, Vol. 202, Birkhauser 2009, 535-538

Physics

Quantum Physics

2 pages; changes (all minor) in v.2: references, notation, added comments

Scientific paper

King and Ruskai asked whether the norm of a completely positive map acting between Schatten classes of operators is equal to that of its restriction to the real subspace of self-adjoint operators. Proofs have been promptly supplied by Watrous and Audenaert. Here we provide one more proof, in fact of a slightly more general fact, under the (slightly weaker) assumption of 2-positivity. The argument is elementary and self-contained.

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