English

A class of generalized positive linear maps on matrix algebras

Operator Algebras 2017-04-25 v1

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.

Keywords

Cite

@article{arxiv.1704.01288,
  title  = {A class of generalized positive linear maps on matrix algebras},
  author = {Xin Li and Wei Wu},
  journal= {arXiv preprint arXiv:1704.01288},
  year   = {2017}
}