Multiplicativity of Maximal p-Norms in Werner-Holevo channels for $1 \le p \le 2$
Quantum Physics
2007-05-23 v1
Abstract
Recently, King and Ruskai [1] conjectured that the maximal p-norm of the Werner--Holevo channel is multiplicative for all . In this paper we prove this conjecture. Our proof relies on certain convexity and monotonicity properties of the p--norm.
Cite
@article{arxiv.quant-ph/0410063,
title = {Multiplicativity of Maximal p-Norms in Werner-Holevo channels for $1 \le p \le 2$},
author = {Nilanjana Datta},
journal= {arXiv preprint arXiv:quant-ph/0410063},
year = {2007}
}
Comments
9 pages