Separability criteria and bounds for entanglement measures
arXiv:quant-ph/0606185 · doi:10.1088/0305-4470/39/38/010
Abstract
Employing a recently proposed separability criterion we develop analytical lower bounds for the concurrence and for the entanglement of formation of bipartite quantum systems. The separability criterion is based on a nondecomposable positive map which operates on state spaces with even dimension N >= 4, and leads to a class of nondecomposable optimal entanglement witnesses. It is shown that the bounds derived here complement and improve the existing bounds obtained from the criterion of positive partial transposition and from the realignment criterion.
8 pages, 2 figures
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- Further results on entanglement detection and quantification from the correlation matrix criterion
- A lower bound of concurrence for multipartite quantum states
- Observable estimation of entanglement for arbitrary finite-dimensional mixed states
- Upper bound of the fully entangled fraction
- Entanglement of Multipartite Schmidt-correlated States
- Beyond the standard entropic inequalities: stronger scalar separability criteria and their applications
- Constrained bounds on measures of entanglement
- A Note on Quantum Entanglement and PPT