Criteria and new classes of k-positive maps
Quantum Physics
2013-03-14 v2 Functional Analysis
Abstract
We study k-positive maps on operators. Proofs are given to different positivity criteria. Special attention is on positive maps arising in the study of quantum information science. Results of other researchers are extended and improved. New classes of positive maps are constructed. Some open questions are answered.
Keywords
Cite
@article{arxiv.1211.0386,
title = {Criteria and new classes of k-positive maps},
author = {Jinchuan Hou and Chi-Kwong Li and Yiu-Tung Poon and Xiaofei Qi and Nung-Sing Sze},
journal= {arXiv preprint arXiv:1211.0386},
year = {2013}
}
Comments
23 pages, revised title, added references and minor revision