A relation between completely bounded norms and conjugate channels

Details A relation between completely bounded norms and conjugate channels A relation between completely bounded norms and conjugate channels

2006-01-11

arxiv.org/abs/quant-ph/0601071v1

Physics

Quantum Physics

5 pages, we make a connection between quant-ph/0506196 and the papers quant-ph/0509101 and quant-ph/0509126

Scientific paper

We show a relation between a quantum channel $\Phi$ and its conjugate
$\Phi^C$, which implies that the $p\to p$ Schatten norm of the channel is the
same as the $1\to p$ completely bounded norm of the conjugate. This relation is
used to give an alternative proof of the multiplicativity of both norms.

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