Optimality of generalized Choi maps in $M_3$
Quantum Physics
2023-12-06 v1 Mathematical Physics
math.MP
Abstract
A family of linear positive maps in the algebra of complex matrices proposed recently in Bera et al. arXiv:2212.03807 is further analyzed. It provides a generalization of a seminal Choi nondecomposable extremal map in . We investigate when generalized Choi maps are optimal, i.e. cannot be represented as a sum of positive and completely positive maps. This property is weaker than extremality, however, it turns out that it plays a key role in detecting quantum entanglement.
Keywords
Cite
@article{arxiv.2312.02814,
title = {Optimality of generalized Choi maps in $M_3$},
author = {Giovanni Scala and Anindita Bera and Gniewomir Sarbicki and Dariusz Chruściński},
journal= {arXiv preprint arXiv:2312.02814},
year = {2023}
}