Tobias Moroder, Jean-Daniel Bancal, Yeong-Cherng Liang, Martin Hofmann, Otfried Gühne
We present a method for quantifying both bipartite and multipartite entanglement in a device-independent manner. Specifically, from the observed correlations or the amount of violation of a given Bell inequality, we present a lower bound on the amount of entanglement present in the underlying system, as measured by the negativity or the genuine negativity. Some of these bounds, such as the one we obtain for the Clauser-Horne-Shimony-Holt Bell inequality, are shown to be tight. These bounds provide further information about the dimension of the underlying Hilbert space or the type of entanglement responsible for the observed correlations. Our method relies on a novel technique to characterize correlations derived from quantum states having additional properties, such as a positive partial transpose.
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http://arxiv.org/abs/1302.1336
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