Quantifying entanglement with covariance matrices

Details Quantifying entanglement with covariance matrices Quantifying entanglement with covariance matrices

2009-12-16

arxiv.org/abs/0912.3018v1

Phys. Rev. A 81, 032333 (2010)

Physics

Quantum Physics

12 pages, 1 figure

Scientific paper

10.1103/PhysRevA.81.032333

Covariance matrices are a useful tool to investigate correlations and entanglement in quantum systems. They are widely used in continuous variable systems, but recently also for finite dimensional systems powerful entanglement criteria in terms of covariance matrices have been derived. We show how these results can be used for the quantification of entanglement in bipartite systems. To that aim we introduce an entanglement parameter that quantifies the violation of the covariance matrix criterion and can be used to give a lower bounds on the concurrence. These lower bounds are easily computable and give entanglement estimates for many weakly entangled states.

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