8 GBit/s real-time quantum random number generator with non-iid samples

Random numbers have a variety of applications for which specific quality requirements must be met. Perhaps the most demanding application is cryptography where the quality has a critical impact on security. Quantum random number generators (QRNGs) based on the measurement of quantum statespromise perfectly unpredictable and private random numbers. However, all device dependent QRNGs introduce assumptions that are either hardly justified or indeed unnecessary, such as perfect purity of the states and no correlations between data samples. In this work we experimentally realize a QRNG based on the measurement of vacuum fluctuations that does not rely on these assumptions. Moreover, we demonstrate a real-time random number generation rate of 8 GBit/s using a Toeplitz randomness extractor and certify the security of the random numbers with a metrological approach based on system characterization. Our approach offers a number of practical benefits and will therefore find widespread applications in quantum random number generators. In particular our generated random numbers are well suited for today's conventional and quantum cryptographic solutions.