Hierarchy of Separability Conditions for Bipartite Systems
Quantum Physics
2010-06-10 v2
Abstract
A new hierarchy of separability conditions for bipartite states is obtained. All the conditions in the hierarchy are necessary for separability. The conditions are expressed in terms of higher powers of the density operator of the bipartite system and the reduced density operators of the subsystems. Violation of any of the conditions in the hierarchy implies entanglement. As a consequence of the hierarchy, another separability condition, expressed in terms of the eigenvalues of the density operators of the total system and subsystems, is obtained.
Keywords
Cite
@article{arxiv.1006.1533,
title = {Hierarchy of Separability Conditions for Bipartite Systems},
author = {S. Sivakumar},
journal= {arXiv preprint arXiv:1006.1533},
year = {2010}
}
Comments
Withdrawn due to a serious error in derivation of the main result