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A relation between completely bounded norms and conjugate channels

Anna Jencova

quant-pharXiv:quant-ph/0601071

Abstract

We show a relation between a quantum channel Φ and its conjugate ΦC, which implies that the p p Schatten norm of the channel is the same as the 1 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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