Multiplicativity of Maximal p-Norms in Werner-Holevo channels for $1 \le p \le 2$

Physics – Quantum Physics

Scientific paper

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9 pages

Scientific paper

Recently, King and Ruskai [1] conjectured that the maximal p-norm of the
Werner--Holevo channel is multiplicative for all $1\le p \le 2$. In this paper
we prove this conjecture. Our proof relies on certain convexity and
monotonicity properties of the p--norm.

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