Schmidt states and positivity of linear maps
Quantum Physics
2007-05-23 v1
Abstract
Using pure entangled Schmidt states, we show that m-positivity of a map is bounded by the ranks of its negative Kraus matrices. We also give an algebraic condition for a map to be m-positive. We interpret these results in the context of positive maps as entanglement witnesses, and find that only 1-positive maps are needed for testing entanglement.
Cite
@article{arxiv.quant-ph/0506095,
title = {Schmidt states and positivity of linear maps},
author = {Aik-meng Kuah and E. C. G. Sudarshan},
journal= {arXiv preprint arXiv:quant-ph/0506095},
year = {2007}
}
Comments
7 pages