Device-independent entanglement quantification and related applications

We present a general method to quantify both bipartite and multipartite entanglement in a device-independent manner, meaning that we put a lower bound on the amount of entanglement present in a system based on the observed data only but independent of any quantum description of the employed devices....

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Bibliographic Details
Published in:Physical review letters 2013-07, Vol.111 (3), p.030501-030501, Article 030501
Main Authors: Moroder, Tobias, Bancal, Jean-Daniel, Liang, Yeong-Cherng, Hofmann, Martin, Gühne, Otfried
Format: Article
Language:English
Subjects:
Physics
Quantum Physics
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Summary:We present a general method to quantify both bipartite and multipartite entanglement in a device-independent manner, meaning that we put a lower bound on the amount of entanglement present in a system based on the observed data only but independent of any quantum description of the employed devices. Some of the bounds we obtain, such as for the Clauser-Horne-Shimony-Holt Bell inequality or the Svetlichny inequality, are shown to be tight. Besides, device-independent entanglement quantification can serve as a basis for numerous tasks. We show in particular that our method provides a rigorous way to construct dimension witnesses, gives new insights into the question whether bound entangled states can violate a Bell inequality, and can be used to construct device-independent entanglement witnesses involving an arbitrary number of parties.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.111.030501