# A class of generalized positive linear maps on matrix algebras

## TL;DR

This paper introduces a new class of positive linear maps on matrix algebras, analyzing their properties and applications in quantum information, including entanglement detection and physical approximations.

## Contribution

It constructs a broad class of positive linear maps and characterizes their atomic, decomposable, and completely positive properties, advancing quantum information theory.

## Key findings

- Identified conditions for atomic, decomposable, and completely positive maps.
- Developed a large class of atomic positive linear maps.
- Discussed applications to entanglement witnesses and physical approximations.

## Abstract

We construct a class of positive linear maps on matrix algebras. We find conditions when these maps are atomic, decomposable and completely positive. We obtain a large class of atomic positive linear maps. As applications in quantum information theory, we discuss the structural physical approximation and optimality of entanglement witness associated with these maps.