A relation between completely bounded norms and conjugate channels
Abstract
Description
We show a relation between a quantum channel $Φ$ and its conjugate $Φ^C$, 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.
5 pages, we make a connection between quant-ph/0506196 and the papers quant-ph/0509101 and quant-ph/0509126
5 pages, we make a connection between quant-ph/0506196 and the papers quant-ph/0509101 and quant-ph/0509126