An application of decomposable maps in proving multiplicativity of low dimensional maps
classification
🪐 quant-ph
keywords
mapsclassmultiplicativityalgebraapplicationdecomposabledimensionalequal
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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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