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We experimentally demonstrate a bias-free optical quantum random numbergenerator with real-time randomness extraction to directly output uniformdistributed random numbers by measuring the vacuum fluctuation of quantumstate. A phase modulator is utilized in the scheme to effectively reduce theinfluence of deviations between two arms of the generator caused by theimperfect practical devices, which is an innovative solution in the field ofquantum random number generator. In the case where the feedback modulationfrequency is much faster than the phase jitter, an unbiased result can beobtained by an additional subtraction between the compensation signal and itsaverage value to eliminate residual deviation. A following randomness extractoris applied to eliminate the influence of residual side information introducedby the imperfect devices in practical system.

Experimental implementation of bias-free quantum random number generator based on vacuum fluctuation