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

Abstract

We provide a straightforward generalization of a positive map in $M_3(\mathbb{C})$ 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 $d\otimes d$.

References in corpus (2)

• Entanglement witnesses: construction, analysis and classification
• Stable subspaces of positive maps of matrix algebras

Cited by in corpus (4)

• Diagonal unitary and orthogonal symmetries in quantum theory
• Generating and detecting bound entanglement in two-qutrits using a family of indecomposable positive maps
• Merging of positive maps: a construction of various classes of positive maps on matrix algebras
• $k$-Positive Maps: New Characterizations and a Generation Method