Random number generation apparatus (2) is described that comprises a threshold detector (4) and an electrical noise generator (6). The electrical noise generator (6) has at least two channels (8a-8d) and each channel is arranged to generate an electrical noise signal. The threshold detector (4), which may comprise a digital input-output (DIO) card, is arranged to periodically compare this electrical noise signal with a threshold and to provide a binary data output that indicates whether the threshold has been exceeded. Each channel of the electrical noise generator comprises at least two amplifiers (10a-10c) electrically connected in series that preferably provide a gain of 50,000 or more. Use of the random number generation apparatus (2) for quantum cryptography applications is also described.