Comments on multiplicativity of maximal p-norms when p = 2
Quantum Physics
2009-01-14 v1 Mathematical Physics
math.MP
Operator Algebras
Abstract
We consider the maximal p-norm associated with a completely positive map and the question of its multiplicativity under tensor products. We give a condition under which this multiplicativity holds when p = 2, and we describe some maps which satisfy our condition. This class includes maps for which multiplicativity is known to fail for large p. Our work raises some questions of independent interest in matrix theory; these are discussed in two appendices.
Cite
@article{arxiv.quant-ph/0401026,
title = {Comments on multiplicativity of maximal p-norms when p = 2},
author = {Christopher King and Mary Beth Ruskai},
journal= {arXiv preprint arXiv:quant-ph/0401026},
year = {2009}
}
Comments
16 pages. For the Festschrift in honor of A. Holevo's 60th birthday