A class of optimal positive maps in $M_n$

Abstract

It is proven that a certain class of positive maps in the matrix algebra $M_n$ consists of optimal maps, i.e. maps from which one cannot subtract any completely positive map without loosing positivity. This class provides a generalization of a seminal Choi positive map in $M_3$.

13 pages, comments are welcome

References in corpus (3)

• Spectral conditions for positive maps
• Optimality for indecomposable entanglement witnesses
• A class of Bell diagonal entanglement witnesses in ${\mathbb{C}}^4\otimes {\mathbb{C}}^4$: optimization and the spanning property

Cited by in corpus (3)

• On the structure of mirrored operators obtained from optimal entanglement witnesses
• A mirrored pair of optimal non-decomposable entanglement witnesses for two qudits does exist
• Mirrored Entanglement Witnesses for Multipartite and High-Dimensional Quantum Systems