Binary random numbers with an occurrence ratio of p:(1-p) (0 < p < 1) are needed in some applications. They are obtainable if the phase noise of a laser diode (LD) is used as a continuous-variable random-number generator. The problem is the existence of extra noise in the measuring system. However, most of this noise can be removed by taking the difference between consecutively measured values. This report confirms this by evaluating the randomness of the phase noise of an LD as a continuous quantity. Our findings show that we can easily obtain spontaneous-emission-based continuous-variable random numbers that allow one to set any p.
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