Quantum random numbers based on the vacuum state

We present a random number generator (RNG) based on the measurement of a quadrature amplitude of a pure quantum state, namely the vacuum state. By determining the entropy of the system and applying a suitable one-way function it can be assured that the random numbers originate from quantum noise solely and classical noise sources have no influence on the generated bit sequences. As quantum mechanics postulates completely random measurement outcomes, the generated numbers are truly random. The optimized information capacity of the system is determined, leading to increased bit generation speeds. Furthermore, the random numbers are assured to be unique, i.e. they cannot be known by an adversary. This is guaranteed by the measurement of a pure state. This feature makes our RNG advantageous to many earlier generators as it offers not only a truly random but also a secure generation of bits.