A class of bistochastic positive optimal maps in Md(C)M_d(\mathbb{C})

preprint2016arXivOpen access

Abstract

We provide a straightforward generalization of a positive map in M3(C)M_3(\mathbb{C}) considered recently by Miller and Olkiewicz \cite{Miller}. It is proved that these maps are optimal and indecomposable. As a byproduct we provide a class of PPT entangled states in d⊗dd \otimes d.

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