  Bell experiments can be used to generate private random numbers. An ideal
Bell experiment would involve measuring a state of two maximally entangled
qubits, but in practice any state produced is subject to noise. Here we
consider how the techniques presented in arXiv:1309.3894 and arXiv:1309.3930,
i.e. using an optimized Bell inequality, and taking advantage of the fact that
the device provider is not our adversary, can be used to improve the rate of
randomness generation in Bell-like tests performed on singlet states subject to
either white or dephasing noise.
