An application of decomposable maps in proving multiplicativity of low dimensional maps

Abstract

In this paper we present a class of maps for which the multiplicativity of the maximal output p-norm holds when p is 2 and p is larger than or equal to 4. The class includes all positive trace-preserving maps from the matrix algebra on the three-dimensional space to that on the two-dimensional.

9 pages

References in corpus (2)

• Superadditivity of communication capacity using entangled inputs
• Counterexamples to the maximal p-norm multiplicativity conjecture for all p > 1