Hierarchy of Separability Conditions for Bipartite Systems

Details Hierarchy of Separability Conditions for Bipartite Systems Hierarchy of Separability Conditions for Bipartite Systems

2010-06-08

arxiv.org/abs/1006.1533v2

Physics

Quantum Physics

Withdrawn due to a serious error in derivation of the main result

Scientific paper

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.

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