Device-independent entanglement quantification and related applications

Tobias Moroder, Jean Daniel Bancal, Yeong Cherng Liang, Martin Hofmann, Otfried Gühne

Research output: Contribution to journalArticlepeer-review

82 Citations (Scopus)

Abstract

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.

Original languageEnglish
Article number030501
JournalPhysical review letters
Volume111
Issue number3
DOIs
Publication statusPublished - 2013 Jul 15

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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