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

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

2009-06-18

arxiv.org/abs/0906.3355v1

Physics

Quantum Physics

9 pages

Scientific paper

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.

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