Abstract

We review the theory of entanglement measures, concentrating mostly on the finite dimensional two-party case. We begin with a non technical introduction, followed by topics such as: single-copy and asymptotic entanglement manipulation; the entanglement of formation; the entanglement cost; the distillable entanglement; the relative entropic measures; the squashed entanglement; log-negativity; the robustness monotones; relationship between entanglement and many-body physics. We conclude with a short introduction to the problem of quantitative entanglement verification via experimental data.

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