English

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

Mathematical Physics 2016-01-11 v2 math.MP Quantum Physics

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 ddd \otimes d.

Keywords

Cite

@article{arxiv.1505.07854,
  title  = {A class of bistochastic positive optimal maps in $M_d(\mathbb{C})$},
  author = {Adam Rutkowski and Gniewomir Sarbicki and Dariusz Chruściński},
  journal= {arXiv preprint arXiv:1505.07854},
  year   = {2016}
}