Experimental test of sequential weak measurements for certified quantum randomness extraction

Quantum nonlocality offers a secure way to produce random numbers: Their unpredictability is intrinsic and can be certified just by observing the statistic of measurement outcomes, without assumptions on how they are produced. To do this, entangled pairs generated measured violate Bell inequality with outcome statistics. However, after projective quantum measurement, entanglement entirely destroyed cannot used again. This fact poses an upper bound amount randomness that produced from each state when measurements employed. Instead, using weak measurements, some maintained reutilized, sequence extract unbounded single as predicted in [Phys. Rev. A 95, 020102(R) (2017)]. We study feasibility these analyze robustness imperfections applied to, then test them optical setup based polarization-entangled photon pairs. show realizable, but improve performance generation only close-to-ideal conditions.