Journal
PHYSICAL REVIEW LETTERS
Volume 111, Issue 3, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.111.030501
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Funding
- EU (Marie Curie CIG) [293993/ENFOQI]
- BMBF (Chist-Era project QUASAR)
- Chist-Era project DIQIP
- Swiss NCCR-QSIT
- National Research Foundation
- Ministry of Education of Singapore
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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.
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