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

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https://arxiv.org/pdf/0906.3355.pdf
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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.

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