Interpolating between positive and completely positive maps: a new hierarchy of entangled states
Quantum Physics
2021-06-09 v1 Mathematical Physics
math.MP
Abstract
A new class of positive maps is introduced. It interpolates between positive and completely positive maps. It is shown that this class gives rise to a new characterization of entangled states. Additionally, it provides a refinement of the well-known classes of entangled states characterized in term of the Schmidt number. The analysis is illustrated with examples of qubit maps.
Cite
@article{arxiv.2104.13829,
title = {Interpolating between positive and completely positive maps: a new hierarchy of entangled states},
author = {Katarzyna Siudzińska and Sagnik Chakraborty and Dariusz Chruściński},
journal= {arXiv preprint arXiv:2104.13829},
year = {2021}
}