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

Abstract

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.

9 pages

Cited by in corpus (2)

• Norms and Cones in the Theory of Quantum Entanglement
• Entanglement and ground states of gapped Hamiltonians