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We present an optical quantum random number generator based on vacuumfluctuation measurements that uses multi-mode coherent states generated byelectro-optical phase modulation of an intense optical carrier. In thisapproach the weak coherent multi-mode state (or a vacuum state) interferes withthe carrier, which acts as a local oscillator, on each side mode independently.The proposed setup can effectively compensate for deviations between the twoarms of a balanced detector by controlling the modulation index of theelectro-optical phase modulator. We perform a proof-of-principle experiment anddemonstrate random number generation with a possibility of real-time randomnessextraction at the rate of 400 Mbit/s.

Vacuum-based quantum random number generator using multi-mode coherent states