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We present several entanglement criteria in terms of the quantum Fisher information that help to relate various forms of multipartite entanglement to the sensitivity of phase estimation.
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It has also been worked out how to detect the genuine multipartite entanglement that can be obtained in a selected part of a very large quantum system through local operations around the boundary of that selected part. This makes it possible to study multipartite entanglement in the three-, four-, and five-particle blocks of a large quantum system and produce an entanglement map. See E. Alba, G. Tóth, and J.J. García-Ripoll, Phys. Rev. A 82
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Recently, via semidefinite programming, it has become possible to find an entanglement witness detecting genuine multipartite entanglement for a given quantum state. See B. Jungnitsch, T. Moroder, and O. Gühne, Phys. Rev. Lett. 106
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For device independent entanglement witnesses for multipartite entanglement see J.-D. Bancal, N. Gisin, Y.-C. Liang, and S. Pironio, Phys. Rev. Lett. 106
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