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

Quantum Physics 2014-11-27 v1

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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Cite

@article{arxiv.0906.3355,
  title  = {An application of decomposable maps in proving multiplicativity of low dimensional maps},
  author = {Motohisa Fukuda},
  journal= {arXiv preprint arXiv:0906.3355},
  year   = {2014}
}

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9 pages