Iterations of nonlinear entanglement witnesses
Quantum Physics
2009-11-13 v1
Abstract
We describe a generic way to improve a given linear entanglement witness by a quadratic, nonlinear term. This method can be iterated, leading to a whole sequence of nonlinear witnesses, which become stronger in each step of the iteration. We show how to optimize this iteration with respect to a given state, and prove that in the limit of the iteration the nonlinear witness detects all states that can be detected by the positive map corresponding to the original linear witness.
Keywords
Cite
@article{arxiv.0806.0855,
title = {Iterations of nonlinear entanglement witnesses},
author = {Tobias Moroder and Otfried Gühne and Norbert Lütkenhaus},
journal= {arXiv preprint arXiv:0806.0855},
year = {2009}
}
Comments
11 pages, 5 figures