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We experimentally demonstrate an optical quantum random number generator with real-time randomness extraction to directly output Gaussian distributed random numbers by measuring the vacuum fluctuation of quantum state. A tight randomness estimation and a Gaussian extractor are proposed to eliminate the influence of side information introduced by the imperfect devices in practical system. The generation of Gaussian distributed quantum random numbers can simply the procedure and reduce the calculation error by optimizing the procedure that transforms uniform distributed random numbers into Gaussian distributed random numbers. And the calculated Gaussian distributed random numbers can be utilized to transformed into random numbers with unique distributions.
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Ziyong Zheng, Yichen Zhang, Song Yu, Hong Guo, "Experimental demonstration of Gaussian distributed quantum random number generator," Proc. SPIE 10733, Quantum Photonic Devices 2018, 107330U (11 September 2018); https://doi.org/10.1117/12.2321143