Constructing positive maps from block matrices
Mathematical Physics
2013-06-14 v2 math.MP
Operator Algebras
Quantum Physics
Abstract
Positive maps are useful for detecting entanglement in quantum information theory. Any entangled state can be detected by some positive map. In this paper, the relation between positive block matrices and completely positive trace-preserving maps is characterized. Consequently, a new method for constructing decomposable maps from positive block matrices is derived. In addition, a method for constructing positive but not completely positive maps from Hermitian block matrices is also obtained.
Cite
@article{arxiv.1212.5851,
title = {Constructing positive maps from block matrices},
author = {Yu Guo and Heng Fan},
journal= {arXiv preprint arXiv:1212.5851},
year = {2013}
}
Comments
13 pages