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.
Clock synchronization is crucial for a practical continuous-variable quantum key distribution system to precisely get the measurement result. Three different synchronization schemes for continuous-variable quantum key distribution system are presented to demonstrate the optimal scheme. The performance of synchronization scheme is evaluated by measuring the excess noise which is the critical parameter for the continuous-variable quantum key distribution system. The experiment results show that distilling the synchronization signal from the local oscillator has the simplest physical implemention and superior effect of synchronization, but a stronger local oscillator is required. Transmitting synchronization signal and quantum signal in the same fiber by wave-length division multiplex is also a fine way to provide stable clock when we take no account of the phsical device and wave-length source.
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