Multiplicativity of Maximal p-Norms in Werner-Holevo channels for 1 p 2
Abstract
Recently, King and Ruskai [1] conjectured that the maximal p-norm of the Werner--Holevo channel is multiplicative for all 1 p 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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