Finer Characterizations of Pure Bipartite Entanglement
Quantum Physics
2013-04-22 v1
Abstract
A new criterion necessary and sufficient for the separability of pure bipartite systems for arbitrary finite dimensions is demonstrated; and the corresponding finer quantitative measures or characterizations of entanglement (beyond mere separability or non-separability determination) are discussed. Based on this criterion, we proved that the well-known Peres-Horodecki positivity-of-partial-transform criterion is also necessary and sufficient for separability in the case of pure bipartite systems. The maximum value of entanglement, and the corresponding maximally-entangled states are also worked out in detail.
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Cite
@article{arxiv.1304.5294,
title = {Finer Characterizations of Pure Bipartite Entanglement},
author = {Che-Hsu Li},
journal= {arXiv preprint arXiv:1304.5294},
year = {2013}
}
Comments
18 pages