More randomness from noisy sources

TL;DR

This paper explores how optimized Bell inequalities can enhance the rate of private randomness generation from noisy entangled qubits in Bell experiments, even with practical noise sources like white or dephasing noise.

Contribution

It demonstrates improved randomness generation rates by applying optimized Bell inequalities and leveraging the assumption that the device provider is not adversarial.

Findings

Enhanced randomness rates with optimized Bell inequalities

Effective in the presence of white and dephasing noise

Applicable to realistic Bell experiment conditions

Abstract

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.