A novel scheme for ultrafast Quantum Random Number Generators exploiting from the quadratures of an electromagnetic field without any assumption on the input state. The method allows to eliminate the numbers that can be predict due the presence of classical and quantum side information. The work is based on a procedure to estimate a bound on the conditional min-entropy based on the Entropic Uncertainty Principle for position and momentum observables of infinite dimensional quantum systems. A manuscript with both theory and experiment showing the generation of secure true random bits at a rate greater than 1 Gbit/s was posted in Sep. 2015 in the ArXiv with number[arXiv:1509.07390] and title Source-device-independent Ultra-fast Quantum Random Number Generation by Davide G. Marangon, Giuseppe Vallone, and Paolo Villoresi.

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