Device-Independent Quantum Key Distribution with Local Bell Test
  Device-independent quantum key distribution (DIQKD) in its current design requires a violation of Bell's inequality between two honest parties, Alice and Bob, who are connected by a quantum channel. However, in reality, quantum channels are lossy, and this can be exploited for attacks based on the detection loophole. Here, we propose a novel approach to DIQKD that overcomes this limitation. In particular, based on a combination between an entropic uncertainty relation and the Clauser-Horne-Shimony-Holt (CHSH) test, we design a DIQKD protocol where the CHSH test is carried out entirely in Alice's laboratory. Thus the loophole caused by channel losses is avoided. 
Charles Ci Wen Lim, Christopher Portmann, Marco Tomamichel, Renato   Renner and Nicolas Gisin
quant-ph