A Note on the p->q norms of Completely Positive Maps
Audenaert, Koenraad M. R.
arXiv, 0505085 / Harvested from arXiv
Text on arXiv
King and Ruskai asked whether the $p\to q$ norm of a completely positive map $\Phi$, acting between Schatten $p$ and $q$ classes of self-adjoint operators, $||\Phi||_{p\to q} = \max_{A=A^*} \frac{||\Phi(A)||_q}{||A||_p}$, is equal to the $p\to q$ norm of that map when acting between Schatten classes of general, not necessarily self-adjoint, operators. The first proof has been given by Watrous. We give an alternative proof of this statement.
Publié le : 2005-05-31
Classification:  Mathematical Physics,  Quantum Physics 
@article{0505085,
     author = {Audenaert, Koenraad M. R.},
     title = {A Note on the p->q norms of Completely Positive Maps},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0505085}
}

Audenaert, Koenraad M. R. A Note on the p->q norms of Completely Positive Maps. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0505085/