Device-independent quantum key distribution using random quantum states

We Haar uniformly generate random states of various ranks and study their performance in an entanglement-based quantum key distribution (QKD) task. In particular, we analyze the efficacy two-qubit realizing device-independent (DI) QKD. first find normalized entanglement Bell-nonlocality which are resource for DI-QKD ranging from rank-1 to rank-4. The number entangled as well Bell-nonlocal decreases rank increases. observe that decrease secure rate is more pronounced comparison with increase rank. pure state Werner provide upper lower bound, respectively, on minimum all mixed possessing same magnitude under general optimal collective attack strategies.